id sid tid token lemma pos en-wikipedia-org-7018 1 1 Pareto Pareto NNP en-wikipedia-org-7018 1 2 efficiency efficiency NN en-wikipedia-org-7018 1 3 - - HYPH en-wikipedia-org-7018 1 4 Wikipedia wikipedia JJ en-wikipedia-org-7018 1 5 Pareto Pareto NNP en-wikipedia-org-7018 1 6 efficiency efficiency NN en-wikipedia-org-7018 1 7 From from IN en-wikipedia-org-7018 1 8 Wikipedia Wikipedia NNP en-wikipedia-org-7018 1 9 , , , en-wikipedia-org-7018 1 10 the the DT en-wikipedia-org-7018 1 11 free free JJ en-wikipedia-org-7018 1 12 encyclopedia encyclopedia NN en-wikipedia-org-7018 1 13 Jump Jump NNP en-wikipedia-org-7018 1 14 to to IN en-wikipedia-org-7018 1 15 navigation navigation NN en-wikipedia-org-7018 1 16 Jump Jump NNP en-wikipedia-org-7018 1 17 to to TO en-wikipedia-org-7018 1 18 search search VB en-wikipedia-org-7018 1 19 State State NNP en-wikipedia-org-7018 1 20 in in IN en-wikipedia-org-7018 1 21 which which WDT en-wikipedia-org-7018 1 22 no no DT en-wikipedia-org-7018 1 23 reallocation reallocation NN en-wikipedia-org-7018 1 24 of of IN en-wikipedia-org-7018 1 25 resources resource NNS en-wikipedia-org-7018 1 26 can can MD en-wikipedia-org-7018 1 27 make make VB en-wikipedia-org-7018 1 28 everyone everyone NN en-wikipedia-org-7018 1 29 at at IN en-wikipedia-org-7018 1 30 least least JJS en-wikipedia-org-7018 1 31 as as RB en-wikipedia-org-7018 1 32 well well RB en-wikipedia-org-7018 1 33 off off IN en-wikipedia-org-7018 1 34 This this DT en-wikipedia-org-7018 1 35 article article NN en-wikipedia-org-7018 1 36 needs need VBZ en-wikipedia-org-7018 1 37 additional additional JJ en-wikipedia-org-7018 1 38 citations citation NNS en-wikipedia-org-7018 1 39 for for IN en-wikipedia-org-7018 1 40 verification verification NN en-wikipedia-org-7018 1 41 . . . en-wikipedia-org-7018 2 1 Please please UH en-wikipedia-org-7018 2 2 help help VB en-wikipedia-org-7018 2 3 improve improve VB en-wikipedia-org-7018 2 4 this this DT en-wikipedia-org-7018 2 5 article article NN en-wikipedia-org-7018 2 6 by by IN en-wikipedia-org-7018 2 7 adding add VBG en-wikipedia-org-7018 2 8 citations citation NNS en-wikipedia-org-7018 2 9 to to IN en-wikipedia-org-7018 2 10 reliable reliable JJ en-wikipedia-org-7018 2 11 sources source NNS en-wikipedia-org-7018 2 12 . . . en-wikipedia-org-7018 3 1 Unsourced unsourced JJ en-wikipedia-org-7018 3 2 material material NN en-wikipedia-org-7018 3 3 may may MD en-wikipedia-org-7018 3 4 be be VB en-wikipedia-org-7018 3 5 challenged challenge VBN en-wikipedia-org-7018 3 6 and and CC en-wikipedia-org-7018 3 7 removed remove VBN en-wikipedia-org-7018 3 8 . . . en-wikipedia-org-7018 4 1 Find find VB en-wikipedia-org-7018 4 2 sources source NNS en-wikipedia-org-7018 4 3 : : : en-wikipedia-org-7018 4 4   _SP en-wikipedia-org-7018 4 5 " " `` en-wikipedia-org-7018 4 6 Pareto Pareto NNP en-wikipedia-org-7018 4 7 efficiency efficiency NN en-wikipedia-org-7018 4 8 " " '' en-wikipedia-org-7018 4 9   _SP en-wikipedia-org-7018 4 10 – – : en-wikipedia-org-7018 4 11   _SP en-wikipedia-org-7018 4 12 news news NN en-wikipedia-org-7018 4 13   _SP en-wikipedia-org-7018 4 14 · · NFP en-wikipedia-org-7018 4 15 newspapers newspaper NNS en-wikipedia-org-7018 4 16   _SP en-wikipedia-org-7018 4 17 · · NFP en-wikipedia-org-7018 4 18 books book NNS en-wikipedia-org-7018 4 19   _SP en-wikipedia-org-7018 4 20 · · NFP en-wikipedia-org-7018 4 21 scholar scholar NN en-wikipedia-org-7018 4 22   _SP en-wikipedia-org-7018 4 23 · · NFP en-wikipedia-org-7018 4 24 JSTOR JSTOR NNP en-wikipedia-org-7018 4 25 ( ( -LRB- en-wikipedia-org-7018 4 26 November November NNP en-wikipedia-org-7018 4 27 2020 2020 CD en-wikipedia-org-7018 4 28 ) ) -RRB- en-wikipedia-org-7018 4 29 ( ( -LRB- en-wikipedia-org-7018 4 30 Learn learn VB en-wikipedia-org-7018 4 31 how how WRB en-wikipedia-org-7018 4 32 and and CC en-wikipedia-org-7018 4 33 when when WRB en-wikipedia-org-7018 4 34 to to TO en-wikipedia-org-7018 4 35 remove remove VB en-wikipedia-org-7018 4 36 this this DT en-wikipedia-org-7018 4 37 template template NN en-wikipedia-org-7018 4 38 message message NN en-wikipedia-org-7018 4 39 ) ) -RRB- en-wikipedia-org-7018 4 40 Pareto Pareto NNP en-wikipedia-org-7018 4 41 efficiency efficiency NN en-wikipedia-org-7018 4 42 or or CC en-wikipedia-org-7018 4 43 Pareto Pareto NNP en-wikipedia-org-7018 4 44 optimality optimality NN en-wikipedia-org-7018 4 45 is be VBZ en-wikipedia-org-7018 4 46 a a DT en-wikipedia-org-7018 4 47 situation situation NN en-wikipedia-org-7018 4 48 where where WRB en-wikipedia-org-7018 4 49 no no DT en-wikipedia-org-7018 4 50 individual individual NN en-wikipedia-org-7018 4 51 or or CC en-wikipedia-org-7018 4 52 preference preference NN en-wikipedia-org-7018 4 53 criterion criterion NN en-wikipedia-org-7018 4 54 can can MD en-wikipedia-org-7018 4 55 be be VB en-wikipedia-org-7018 4 56 better well JJR en-wikipedia-org-7018 4 57 off off RP en-wikipedia-org-7018 4 58 without without IN en-wikipedia-org-7018 4 59 making make VBG en-wikipedia-org-7018 4 60 at at RB en-wikipedia-org-7018 4 61 least least RBS en-wikipedia-org-7018 4 62 one one CD en-wikipedia-org-7018 4 63 individual individual JJ en-wikipedia-org-7018 4 64 or or CC en-wikipedia-org-7018 4 65 preference preference NN en-wikipedia-org-7018 4 66 criterion criterion NN en-wikipedia-org-7018 4 67 worse bad JJR en-wikipedia-org-7018 4 68 off off IN en-wikipedia-org-7018 4 69 or or CC en-wikipedia-org-7018 4 70 without without IN en-wikipedia-org-7018 4 71 any any DT en-wikipedia-org-7018 4 72 loss loss NN en-wikipedia-org-7018 4 73 thereof thereof RB en-wikipedia-org-7018 4 74 . . . en-wikipedia-org-7018 5 1 The the DT en-wikipedia-org-7018 5 2 concept concept NN en-wikipedia-org-7018 5 3 is be VBZ en-wikipedia-org-7018 5 4 named name VBN en-wikipedia-org-7018 5 5 after after IN en-wikipedia-org-7018 5 6 Vilfredo Vilfredo NNP en-wikipedia-org-7018 5 7 Pareto Pareto NNP en-wikipedia-org-7018 5 8 ( ( -LRB- en-wikipedia-org-7018 5 9 1848–1923 1848–1923 CD en-wikipedia-org-7018 5 10 ) ) -RRB- en-wikipedia-org-7018 5 11 , , , en-wikipedia-org-7018 5 12 Italian italian JJ en-wikipedia-org-7018 5 13 engineer engineer NN en-wikipedia-org-7018 5 14 and and CC en-wikipedia-org-7018 5 15 economist economist NN en-wikipedia-org-7018 5 16 , , , en-wikipedia-org-7018 5 17 who who WP en-wikipedia-org-7018 5 18 used use VBD en-wikipedia-org-7018 5 19 the the DT en-wikipedia-org-7018 5 20 concept concept NN en-wikipedia-org-7018 5 21 in in IN en-wikipedia-org-7018 5 22 his -PRON- PRP$ en-wikipedia-org-7018 5 23 studies study NNS en-wikipedia-org-7018 5 24 of of IN en-wikipedia-org-7018 5 25 economic economic JJ en-wikipedia-org-7018 5 26 efficiency efficiency NN en-wikipedia-org-7018 5 27 and and CC en-wikipedia-org-7018 5 28 income income NN en-wikipedia-org-7018 5 29 distribution distribution NN en-wikipedia-org-7018 5 30 . . . en-wikipedia-org-7018 6 1 The the DT en-wikipedia-org-7018 6 2 following follow VBG en-wikipedia-org-7018 6 3 three three CD en-wikipedia-org-7018 6 4 concepts concept NNS en-wikipedia-org-7018 6 5 are be VBP en-wikipedia-org-7018 6 6 closely closely RB en-wikipedia-org-7018 6 7 related related JJ en-wikipedia-org-7018 6 8 : : : en-wikipedia-org-7018 6 9 Given give VBN en-wikipedia-org-7018 6 10 an an DT en-wikipedia-org-7018 6 11 initial initial JJ en-wikipedia-org-7018 6 12 situation situation NN en-wikipedia-org-7018 6 13 , , , en-wikipedia-org-7018 6 14 a a DT en-wikipedia-org-7018 6 15 Pareto Pareto NNP en-wikipedia-org-7018 6 16 improvement improvement NN en-wikipedia-org-7018 6 17 is be VBZ en-wikipedia-org-7018 6 18 a a DT en-wikipedia-org-7018 6 19 new new JJ en-wikipedia-org-7018 6 20 situation situation NN en-wikipedia-org-7018 6 21 where where WRB en-wikipedia-org-7018 6 22 some some DT en-wikipedia-org-7018 6 23 agents agent NNS en-wikipedia-org-7018 6 24 will will MD en-wikipedia-org-7018 6 25 gain gain VB en-wikipedia-org-7018 6 26 , , , en-wikipedia-org-7018 6 27 and and CC en-wikipedia-org-7018 6 28 no no DT en-wikipedia-org-7018 6 29 agents agent NNS en-wikipedia-org-7018 6 30 will will MD en-wikipedia-org-7018 6 31 lose lose VB en-wikipedia-org-7018 6 32 . . . en-wikipedia-org-7018 7 1 A a DT en-wikipedia-org-7018 7 2 situation situation NN en-wikipedia-org-7018 7 3 is be VBZ en-wikipedia-org-7018 7 4 called call VBN en-wikipedia-org-7018 7 5 Pareto Pareto NNP en-wikipedia-org-7018 7 6 dominated dominate VBD en-wikipedia-org-7018 7 7 if if IN en-wikipedia-org-7018 7 8 there there EX en-wikipedia-org-7018 7 9 exists exist VBZ en-wikipedia-org-7018 7 10 a a DT en-wikipedia-org-7018 7 11 possible possible JJ en-wikipedia-org-7018 7 12 Pareto Pareto NNP en-wikipedia-org-7018 7 13 improvement improvement NN en-wikipedia-org-7018 7 14 . . . en-wikipedia-org-7018 8 1 A a DT en-wikipedia-org-7018 8 2 situation situation NN en-wikipedia-org-7018 8 3 is be VBZ en-wikipedia-org-7018 8 4 called call VBN en-wikipedia-org-7018 8 5 Pareto Pareto NNP en-wikipedia-org-7018 8 6 optimal optimal JJ en-wikipedia-org-7018 8 7 or or CC en-wikipedia-org-7018 8 8 Pareto Pareto NNP en-wikipedia-org-7018 8 9 efficient efficient JJ en-wikipedia-org-7018 8 10 if if IN en-wikipedia-org-7018 8 11 no no DT en-wikipedia-org-7018 8 12 change change NN en-wikipedia-org-7018 8 13 could could MD en-wikipedia-org-7018 8 14 lead lead VB en-wikipedia-org-7018 8 15 to to IN en-wikipedia-org-7018 8 16 improved improved JJ en-wikipedia-org-7018 8 17 satisfaction satisfaction NN en-wikipedia-org-7018 8 18 for for IN en-wikipedia-org-7018 8 19 some some DT en-wikipedia-org-7018 8 20 agent agent NN en-wikipedia-org-7018 8 21 without without IN en-wikipedia-org-7018 8 22 some some DT en-wikipedia-org-7018 8 23 other other JJ en-wikipedia-org-7018 8 24 agent agent NN en-wikipedia-org-7018 8 25 losing losing NN en-wikipedia-org-7018 8 26 or or CC en-wikipedia-org-7018 8 27 if if IN en-wikipedia-org-7018 8 28 there there EX en-wikipedia-org-7018 8 29 's be VBZ en-wikipedia-org-7018 8 30 no no DT en-wikipedia-org-7018 8 31 scope scope NN en-wikipedia-org-7018 8 32 for for IN en-wikipedia-org-7018 8 33 further further JJ en-wikipedia-org-7018 8 34 Pareto Pareto NNP en-wikipedia-org-7018 8 35 improvement improvement NN en-wikipedia-org-7018 8 36 . . . en-wikipedia-org-7018 9 1 The the DT en-wikipedia-org-7018 9 2 Pareto Pareto NNP en-wikipedia-org-7018 9 3 frontier frontier NN en-wikipedia-org-7018 9 4 is be VBZ en-wikipedia-org-7018 9 5 the the DT en-wikipedia-org-7018 9 6 set set NN en-wikipedia-org-7018 9 7 of of IN en-wikipedia-org-7018 9 8 all all DT en-wikipedia-org-7018 9 9 Pareto Pareto NNP en-wikipedia-org-7018 9 10 efficient efficient JJ en-wikipedia-org-7018 9 11 allocations allocation NNS en-wikipedia-org-7018 9 12 , , , en-wikipedia-org-7018 9 13 conventionally conventionally RB en-wikipedia-org-7018 9 14 shown show VBN en-wikipedia-org-7018 9 15 graphically graphically RB en-wikipedia-org-7018 9 16 . . . en-wikipedia-org-7018 10 1 It -PRON- PRP en-wikipedia-org-7018 10 2 also also RB en-wikipedia-org-7018 10 3 is be VBZ en-wikipedia-org-7018 10 4 variously variously RB en-wikipedia-org-7018 10 5 known know VBN en-wikipedia-org-7018 10 6 as as IN en-wikipedia-org-7018 10 7 the the DT en-wikipedia-org-7018 10 8 Pareto Pareto NNP en-wikipedia-org-7018 10 9 front front NN en-wikipedia-org-7018 10 10 or or CC en-wikipedia-org-7018 10 11 Pareto Pareto NNP en-wikipedia-org-7018 10 12 set set NN en-wikipedia-org-7018 10 13 . . . en-wikipedia-org-7018 11 1 [ [ -LRB- en-wikipedia-org-7018 11 2 1 1 LS en-wikipedia-org-7018 11 3 ] ] -RRB- en-wikipedia-org-7018 11 4 Pareto Pareto NNP en-wikipedia-org-7018 11 5 originally originally RB en-wikipedia-org-7018 11 6 used use VBD en-wikipedia-org-7018 11 7 the the DT en-wikipedia-org-7018 11 8 word word NN en-wikipedia-org-7018 11 9 " " `` en-wikipedia-org-7018 11 10 optimal optimal NN en-wikipedia-org-7018 11 11 " " '' en-wikipedia-org-7018 11 12 for for IN en-wikipedia-org-7018 11 13 the the DT en-wikipedia-org-7018 11 14 concept concept NN en-wikipedia-org-7018 11 15 , , , en-wikipedia-org-7018 11 16 but but CC en-wikipedia-org-7018 11 17 as as IN en-wikipedia-org-7018 11 18 it -PRON- PRP en-wikipedia-org-7018 11 19 describes describe VBZ en-wikipedia-org-7018 11 20 a a DT en-wikipedia-org-7018 11 21 situation situation NN en-wikipedia-org-7018 11 22 where where WRB en-wikipedia-org-7018 11 23 a a DT en-wikipedia-org-7018 11 24 limited limited JJ en-wikipedia-org-7018 11 25 number number NN en-wikipedia-org-7018 11 26 of of IN en-wikipedia-org-7018 11 27 people people NNS en-wikipedia-org-7018 11 28 will will MD en-wikipedia-org-7018 11 29 be be VB en-wikipedia-org-7018 11 30 made make VBN en-wikipedia-org-7018 11 31 better well RBR en-wikipedia-org-7018 11 32 off off RP en-wikipedia-org-7018 11 33 under under IN en-wikipedia-org-7018 11 34 finite finite JJ en-wikipedia-org-7018 11 35 resources resource NNS en-wikipedia-org-7018 11 36 , , , en-wikipedia-org-7018 11 37 and and CC en-wikipedia-org-7018 11 38 it -PRON- PRP en-wikipedia-org-7018 11 39 does do VBZ en-wikipedia-org-7018 11 40 not not RB en-wikipedia-org-7018 11 41 take take VB en-wikipedia-org-7018 11 42 equality equality NN en-wikipedia-org-7018 11 43 or or CC en-wikipedia-org-7018 11 44 social social JJ en-wikipedia-org-7018 11 45 well well NN en-wikipedia-org-7018 11 46 - - HYPH en-wikipedia-org-7018 11 47 being being NN en-wikipedia-org-7018 11 48 into into IN en-wikipedia-org-7018 11 49 account account NN en-wikipedia-org-7018 11 50 , , , en-wikipedia-org-7018 11 51 it -PRON- PRP en-wikipedia-org-7018 11 52 is be VBZ en-wikipedia-org-7018 11 53 in in IN en-wikipedia-org-7018 11 54 effect effect NN en-wikipedia-org-7018 11 55 a a DT en-wikipedia-org-7018 11 56 definition definition NN en-wikipedia-org-7018 11 57 of of IN en-wikipedia-org-7018 11 58 and and CC en-wikipedia-org-7018 11 59 better well JJR en-wikipedia-org-7018 11 60 captured capture VBN en-wikipedia-org-7018 11 61 by by IN en-wikipedia-org-7018 11 62 " " `` en-wikipedia-org-7018 11 63 efficiency efficiency NN en-wikipedia-org-7018 11 64 " " '' en-wikipedia-org-7018 11 65 . . . en-wikipedia-org-7018 12 1 [ [ -LRB- en-wikipedia-org-7018 12 2 2 2 LS en-wikipedia-org-7018 12 3 ] ] -RRB- en-wikipedia-org-7018 12 4 In in IN en-wikipedia-org-7018 12 5 addition addition NN en-wikipedia-org-7018 12 6 to to IN en-wikipedia-org-7018 12 7 the the DT en-wikipedia-org-7018 12 8 context context NN en-wikipedia-org-7018 12 9 of of IN en-wikipedia-org-7018 12 10 efficiency efficiency NN en-wikipedia-org-7018 12 11 in in IN en-wikipedia-org-7018 12 12 allocation allocation NN en-wikipedia-org-7018 12 13 , , , en-wikipedia-org-7018 12 14 the the DT en-wikipedia-org-7018 12 15 concept concept NN en-wikipedia-org-7018 12 16 of of IN en-wikipedia-org-7018 12 17 Pareto Pareto NNP en-wikipedia-org-7018 12 18 efficiency efficiency NN en-wikipedia-org-7018 12 19 also also RB en-wikipedia-org-7018 12 20 arises arise VBZ en-wikipedia-org-7018 12 21 in in IN en-wikipedia-org-7018 12 22 the the DT en-wikipedia-org-7018 12 23 context context NN en-wikipedia-org-7018 12 24 of of IN en-wikipedia-org-7018 12 25 efficiency efficiency NN en-wikipedia-org-7018 12 26 in in IN en-wikipedia-org-7018 12 27 production production NN en-wikipedia-org-7018 12 28 vs. vs. IN en-wikipedia-org-7018 12 29 x x NN en-wikipedia-org-7018 12 30 - - NN en-wikipedia-org-7018 12 31 inefficiency inefficiency NN en-wikipedia-org-7018 12 32 : : : en-wikipedia-org-7018 12 33 a a DT en-wikipedia-org-7018 12 34 set set NN en-wikipedia-org-7018 12 35 of of IN en-wikipedia-org-7018 12 36 outputs output NNS en-wikipedia-org-7018 12 37 of of IN en-wikipedia-org-7018 12 38 goods good NNS en-wikipedia-org-7018 12 39 is be VBZ en-wikipedia-org-7018 12 40 Pareto Pareto NNP en-wikipedia-org-7018 12 41 efficient efficient JJ en-wikipedia-org-7018 12 42 if if IN en-wikipedia-org-7018 12 43 there there EX en-wikipedia-org-7018 12 44 is be VBZ en-wikipedia-org-7018 12 45 no no DT en-wikipedia-org-7018 12 46 feasible feasible JJ en-wikipedia-org-7018 12 47 re re NN en-wikipedia-org-7018 12 48 - - NN en-wikipedia-org-7018 12 49 allocation allocation NN en-wikipedia-org-7018 12 50 of of IN en-wikipedia-org-7018 12 51 productive productive JJ en-wikipedia-org-7018 12 52 inputs input NNS en-wikipedia-org-7018 12 53 such such JJ en-wikipedia-org-7018 12 54 that that IN en-wikipedia-org-7018 12 55 output output NN en-wikipedia-org-7018 12 56 of of IN en-wikipedia-org-7018 12 57 one one CD en-wikipedia-org-7018 12 58 product product NN en-wikipedia-org-7018 12 59 increases increase NNS en-wikipedia-org-7018 12 60 while while IN en-wikipedia-org-7018 12 61 the the DT en-wikipedia-org-7018 12 62 outputs output NNS en-wikipedia-org-7018 12 63 of of IN en-wikipedia-org-7018 12 64 all all DT en-wikipedia-org-7018 12 65 other other JJ en-wikipedia-org-7018 12 66 goods good NNS en-wikipedia-org-7018 12 67 either either CC en-wikipedia-org-7018 12 68 increase increase VBP en-wikipedia-org-7018 12 69 or or CC en-wikipedia-org-7018 12 70 remain remain VB en-wikipedia-org-7018 12 71 the the DT en-wikipedia-org-7018 12 72 same same JJ en-wikipedia-org-7018 12 73 . . . en-wikipedia-org-7018 13 1 [ [ -LRB- en-wikipedia-org-7018 13 2 3]:459 3]:459 CD en-wikipedia-org-7018 13 3 Besides besides IN en-wikipedia-org-7018 13 4 economics economic NNS en-wikipedia-org-7018 13 5 , , , en-wikipedia-org-7018 13 6 the the DT en-wikipedia-org-7018 13 7 notion notion NN en-wikipedia-org-7018 13 8 of of IN en-wikipedia-org-7018 13 9 Pareto Pareto NNP en-wikipedia-org-7018 13 10 efficiency efficiency NN en-wikipedia-org-7018 13 11 has have VBZ en-wikipedia-org-7018 13 12 been be VBN en-wikipedia-org-7018 13 13 applied apply VBN en-wikipedia-org-7018 13 14 to to IN en-wikipedia-org-7018 13 15 the the DT en-wikipedia-org-7018 13 16 selection selection NN en-wikipedia-org-7018 13 17 of of IN en-wikipedia-org-7018 13 18 alternatives alternative NNS en-wikipedia-org-7018 13 19 in in IN en-wikipedia-org-7018 13 20 engineering engineering NN en-wikipedia-org-7018 13 21 and and CC en-wikipedia-org-7018 13 22 biology biology NN en-wikipedia-org-7018 13 23 . . . en-wikipedia-org-7018 14 1 Each each DT en-wikipedia-org-7018 14 2 option option NN en-wikipedia-org-7018 14 3 is be VBZ en-wikipedia-org-7018 14 4 first first RB en-wikipedia-org-7018 14 5 assessed assess VBN en-wikipedia-org-7018 14 6 , , , en-wikipedia-org-7018 14 7 under under IN en-wikipedia-org-7018 14 8 multiple multiple JJ en-wikipedia-org-7018 14 9 criteria criterion NNS en-wikipedia-org-7018 14 10 , , , en-wikipedia-org-7018 14 11 and and CC en-wikipedia-org-7018 14 12 then then RB en-wikipedia-org-7018 14 13 a a DT en-wikipedia-org-7018 14 14 subset subset NN en-wikipedia-org-7018 14 15 of of IN en-wikipedia-org-7018 14 16 options option NNS en-wikipedia-org-7018 14 17 is be VBZ en-wikipedia-org-7018 14 18 ostensibly ostensibly RB en-wikipedia-org-7018 14 19 identified identify VBN en-wikipedia-org-7018 14 20 with with IN en-wikipedia-org-7018 14 21 the the DT en-wikipedia-org-7018 14 22 property property NN en-wikipedia-org-7018 14 23 that that WDT en-wikipedia-org-7018 14 24 no no DT en-wikipedia-org-7018 14 25 other other JJ en-wikipedia-org-7018 14 26 option option NN en-wikipedia-org-7018 14 27 can can MD en-wikipedia-org-7018 14 28 categorically categorically RB en-wikipedia-org-7018 14 29 outperform outperform VB en-wikipedia-org-7018 14 30 the the DT en-wikipedia-org-7018 14 31 specified specify VBN en-wikipedia-org-7018 14 32 option option NN en-wikipedia-org-7018 14 33 . . . en-wikipedia-org-7018 15 1 It -PRON- PRP en-wikipedia-org-7018 15 2 is be VBZ en-wikipedia-org-7018 15 3 a a DT en-wikipedia-org-7018 15 4 statement statement NN en-wikipedia-org-7018 15 5 of of IN en-wikipedia-org-7018 15 6 impossibility impossibility NN en-wikipedia-org-7018 15 7 of of IN en-wikipedia-org-7018 15 8 improving improve VBG en-wikipedia-org-7018 15 9 one one CD en-wikipedia-org-7018 15 10 variable variable NN en-wikipedia-org-7018 15 11 without without IN en-wikipedia-org-7018 15 12 harming harm VBG en-wikipedia-org-7018 15 13 other other JJ en-wikipedia-org-7018 15 14 variables variable NNS en-wikipedia-org-7018 15 15 in in IN en-wikipedia-org-7018 15 16 the the DT en-wikipedia-org-7018 15 17 subject subject NN en-wikipedia-org-7018 15 18 of of IN en-wikipedia-org-7018 15 19 multi multi JJ en-wikipedia-org-7018 15 20 - - JJ en-wikipedia-org-7018 15 21 objective objective JJ en-wikipedia-org-7018 15 22 optimization optimization NN en-wikipedia-org-7018 15 23 ( ( -LRB- en-wikipedia-org-7018 15 24 also also RB en-wikipedia-org-7018 15 25 termed term VBN en-wikipedia-org-7018 15 26 Pareto Pareto NNP en-wikipedia-org-7018 15 27 optimization optimization NN en-wikipedia-org-7018 15 28 ) ) -RRB- en-wikipedia-org-7018 15 29 . . . en-wikipedia-org-7018 16 1 Contents content NNS en-wikipedia-org-7018 16 2 1 1 CD en-wikipedia-org-7018 16 3 Overview overview NN en-wikipedia-org-7018 16 4 2 2 CD en-wikipedia-org-7018 16 5 Weak weak JJ en-wikipedia-org-7018 16 6 Pareto Pareto NNP en-wikipedia-org-7018 16 7 efficiency efficiency NN en-wikipedia-org-7018 16 8 3 3 CD en-wikipedia-org-7018 16 9 Constrained Constrained NNP en-wikipedia-org-7018 16 10 Pareto Pareto NNP en-wikipedia-org-7018 16 11 efficiency efficiency NN en-wikipedia-org-7018 16 12 4 4 CD en-wikipedia-org-7018 16 13 Fractional Fractional NNP en-wikipedia-org-7018 16 14 Pareto Pareto NNP en-wikipedia-org-7018 16 15 efficiency efficiency NN en-wikipedia-org-7018 16 16 5 5 CD en-wikipedia-org-7018 16 17 Pareto Pareto NNP en-wikipedia-org-7018 16 18 - - HYPH en-wikipedia-org-7018 16 19 efficiency efficiency NN en-wikipedia-org-7018 16 20 and and CC en-wikipedia-org-7018 16 21 welfare welfare NN en-wikipedia-org-7018 16 22 - - HYPH en-wikipedia-org-7018 16 23 maximization maximization NN en-wikipedia-org-7018 16 24 6 6 CD en-wikipedia-org-7018 16 25 Use Use NNP en-wikipedia-org-7018 16 26 in in IN en-wikipedia-org-7018 16 27 engineering engineer VBG en-wikipedia-org-7018 16 28 6.1 6.1 CD en-wikipedia-org-7018 16 29 Pareto Pareto NNP en-wikipedia-org-7018 16 30 frontier frontier NN en-wikipedia-org-7018 16 31 6.2 6.2 CD en-wikipedia-org-7018 16 32 Marginal marginal JJ en-wikipedia-org-7018 16 33 rate rate NN en-wikipedia-org-7018 16 34 of of IN en-wikipedia-org-7018 16 35 substitution substitution NN en-wikipedia-org-7018 16 36 6.3 6.3 CD en-wikipedia-org-7018 16 37 Computation Computation NNP en-wikipedia-org-7018 16 38 7 7 CD en-wikipedia-org-7018 16 39 Use Use NNP en-wikipedia-org-7018 16 40 in in IN en-wikipedia-org-7018 16 41 public public JJ en-wikipedia-org-7018 16 42 policy policy NN en-wikipedia-org-7018 16 43 8 8 CD en-wikipedia-org-7018 16 44 Use Use NNP en-wikipedia-org-7018 16 45 in in IN en-wikipedia-org-7018 16 46 biology biology NN en-wikipedia-org-7018 16 47 9 9 CD en-wikipedia-org-7018 16 48 Common common JJ en-wikipedia-org-7018 16 49 misconceptions misconception NNS en-wikipedia-org-7018 16 50 10 10 CD en-wikipedia-org-7018 16 51 Criticism criticism NN en-wikipedia-org-7018 16 52 11 11 CD en-wikipedia-org-7018 16 53 See see VBP en-wikipedia-org-7018 16 54 also also RB en-wikipedia-org-7018 16 55 12 12 CD en-wikipedia-org-7018 16 56 References reference NNS en-wikipedia-org-7018 16 57 13 13 CD en-wikipedia-org-7018 16 58 Further further RB en-wikipedia-org-7018 16 59 reading read VBG en-wikipedia-org-7018 16 60 Overview[edit overview[edit NN en-wikipedia-org-7018 16 61 ] ] -RRB- en-wikipedia-org-7018 16 62 Formally Formally NNP en-wikipedia-org-7018 16 63 , , , en-wikipedia-org-7018 16 64 an an DT en-wikipedia-org-7018 16 65 allocation allocation NN en-wikipedia-org-7018 16 66 is be VBZ en-wikipedia-org-7018 16 67 Pareto Pareto NNP en-wikipedia-org-7018 16 68 optimal optimal JJ en-wikipedia-org-7018 16 69 if if IN en-wikipedia-org-7018 16 70 there there EX en-wikipedia-org-7018 16 71 is be VBZ en-wikipedia-org-7018 16 72 no no DT en-wikipedia-org-7018 16 73 alternative alternative JJ en-wikipedia-org-7018 16 74 allocation allocation NN en-wikipedia-org-7018 16 75 where where WRB en-wikipedia-org-7018 16 76 improvements improvement NNS en-wikipedia-org-7018 16 77 can can MD en-wikipedia-org-7018 16 78 be be VB en-wikipedia-org-7018 16 79 made make VBN en-wikipedia-org-7018 16 80 to to IN en-wikipedia-org-7018 16 81 at at RB en-wikipedia-org-7018 16 82 least least RBS en-wikipedia-org-7018 16 83 one one CD en-wikipedia-org-7018 16 84 participant participant NN en-wikipedia-org-7018 16 85 's 's POS en-wikipedia-org-7018 16 86 well well RB en-wikipedia-org-7018 16 87 - - HYPH en-wikipedia-org-7018 16 88 being being NN en-wikipedia-org-7018 16 89 without without IN en-wikipedia-org-7018 16 90 reducing reduce VBG en-wikipedia-org-7018 16 91 any any DT en-wikipedia-org-7018 16 92 other other JJ en-wikipedia-org-7018 16 93 participant participant NN en-wikipedia-org-7018 16 94 's 's POS en-wikipedia-org-7018 16 95 well well RB en-wikipedia-org-7018 16 96 - - HYPH en-wikipedia-org-7018 16 97 being being NN en-wikipedia-org-7018 16 98 . . . en-wikipedia-org-7018 17 1 If if IN en-wikipedia-org-7018 17 2 there there EX en-wikipedia-org-7018 17 3 is be VBZ en-wikipedia-org-7018 17 4 a a DT en-wikipedia-org-7018 17 5 transfer transfer NN en-wikipedia-org-7018 17 6 that that WDT en-wikipedia-org-7018 17 7 satisfies satisfy VBZ en-wikipedia-org-7018 17 8 this this DT en-wikipedia-org-7018 17 9 condition condition NN en-wikipedia-org-7018 17 10 , , , en-wikipedia-org-7018 17 11 the the DT en-wikipedia-org-7018 17 12 new new JJ en-wikipedia-org-7018 17 13 reallocation reallocation NN en-wikipedia-org-7018 17 14 is be VBZ en-wikipedia-org-7018 17 15 called call VBN en-wikipedia-org-7018 17 16 a a DT en-wikipedia-org-7018 17 17 " " `` en-wikipedia-org-7018 17 18 Pareto Pareto NNP en-wikipedia-org-7018 17 19 improvement improvement NN en-wikipedia-org-7018 17 20 " " '' en-wikipedia-org-7018 17 21 . . . en-wikipedia-org-7018 18 1 When when WRB en-wikipedia-org-7018 18 2 no no DT en-wikipedia-org-7018 18 3 Pareto Pareto NNP en-wikipedia-org-7018 18 4 improvements improvement NNS en-wikipedia-org-7018 18 5 are be VBP en-wikipedia-org-7018 18 6 possible possible JJ en-wikipedia-org-7018 18 7 , , , en-wikipedia-org-7018 18 8 the the DT en-wikipedia-org-7018 18 9 allocation allocation NN en-wikipedia-org-7018 18 10 is be VBZ en-wikipedia-org-7018 18 11 a a DT en-wikipedia-org-7018 18 12 " " `` en-wikipedia-org-7018 18 13 Pareto Pareto NNP en-wikipedia-org-7018 18 14 optimum optimum NN en-wikipedia-org-7018 18 15 " " '' en-wikipedia-org-7018 18 16 . . . en-wikipedia-org-7018 19 1 The the DT en-wikipedia-org-7018 19 2 formal formal JJ en-wikipedia-org-7018 19 3 presentation presentation NN en-wikipedia-org-7018 19 4 of of IN en-wikipedia-org-7018 19 5 the the DT en-wikipedia-org-7018 19 6 concept concept NN en-wikipedia-org-7018 19 7 in in IN en-wikipedia-org-7018 19 8 an an DT en-wikipedia-org-7018 19 9 economy economy NN en-wikipedia-org-7018 19 10 is be VBZ en-wikipedia-org-7018 19 11 the the DT en-wikipedia-org-7018 19 12 following follow VBG en-wikipedia-org-7018 19 13 : : : en-wikipedia-org-7018 19 14 Consider consider VB en-wikipedia-org-7018 19 15 an an DT en-wikipedia-org-7018 19 16 economy economy NN en-wikipedia-org-7018 19 17 with with IN en-wikipedia-org-7018 19 18 n n CC en-wikipedia-org-7018 19 19 { { -LRB- en-wikipedia-org-7018 19 20 \displaystyle \displaystyle CD en-wikipedia-org-7018 19 21 n n CC en-wikipedia-org-7018 19 22 } } -RRB- en-wikipedia-org-7018 19 23 agents agent NNS en-wikipedia-org-7018 19 24 and and CC en-wikipedia-org-7018 19 25 k k NNS en-wikipedia-org-7018 19 26 { { -LRB- en-wikipedia-org-7018 19 27 \displaystyle \displaystyle CD en-wikipedia-org-7018 19 28 k k NN en-wikipedia-org-7018 19 29 } } -RRB- en-wikipedia-org-7018 19 30 goods good NNS en-wikipedia-org-7018 19 31 . . . en-wikipedia-org-7018 20 1 Then then RB en-wikipedia-org-7018 20 2 an an DT en-wikipedia-org-7018 20 3 allocation allocation NN en-wikipedia-org-7018 20 4 { { -LRB- en-wikipedia-org-7018 20 5 x x SYM en-wikipedia-org-7018 20 6 1 1 CD en-wikipedia-org-7018 20 7 , , , en-wikipedia-org-7018 20 8 . . . en-wikipedia-org-7018 21 1 . . . en-wikipedia-org-7018 22 1 . . . en-wikipedia-org-7018 23 1 , , , en-wikipedia-org-7018 23 2 x x SYM en-wikipedia-org-7018 23 3 n n NN en-wikipedia-org-7018 23 4 } } -RRB- en-wikipedia-org-7018 23 5 { { -LRB- en-wikipedia-org-7018 23 6 \displaystyle \displaystyle CD en-wikipedia-org-7018 23 7 \{x_{1}, \{x_{1}, NNP en-wikipedia-org-7018 23 8 ... ... : en-wikipedia-org-7018 23 9 ,x_{n}\ ,x_{n}\ . en-wikipedia-org-7018 23 10 } } -RRB- en-wikipedia-org-7018 23 11 } } -RRB- en-wikipedia-org-7018 23 12 , , , en-wikipedia-org-7018 23 13 where where WRB en-wikipedia-org-7018 23 14 x x IN en-wikipedia-org-7018 23 15 i i PRP en-wikipedia-org-7018 23 16 ∈ ∈ VBP en-wikipedia-org-7018 23 17 R r NN en-wikipedia-org-7018 23 18 k k NN en-wikipedia-org-7018 23 19 { { -LRB- en-wikipedia-org-7018 23 20 \displaystyle \displaystyle CD en-wikipedia-org-7018 23 21 x_{i}\in x_{i}\in NNP en-wikipedia-org-7018 23 22 \mathbb \mathbb CD en-wikipedia-org-7018 23 23 { { -LRB- en-wikipedia-org-7018 23 24 R r NN en-wikipedia-org-7018 23 25 } } -RRB- en-wikipedia-org-7018 23 26 ^{k ^{k NN en-wikipedia-org-7018 23 27 } } -RRB- en-wikipedia-org-7018 23 28 } } -RRB- en-wikipedia-org-7018 23 29 for for IN en-wikipedia-org-7018 23 30 all all DT en-wikipedia-org-7018 23 31 i i PRP en-wikipedia-org-7018 23 32 , , , en-wikipedia-org-7018 23 33 is be VBZ en-wikipedia-org-7018 23 34 Pareto Pareto NNP en-wikipedia-org-7018 23 35 optimal optimal JJ en-wikipedia-org-7018 23 36 if if IN en-wikipedia-org-7018 23 37 there there EX en-wikipedia-org-7018 23 38 is be VBZ en-wikipedia-org-7018 23 39 no no DT en-wikipedia-org-7018 23 40 other other JJ en-wikipedia-org-7018 23 41 feasible feasible JJ en-wikipedia-org-7018 23 42 allocation allocation NN en-wikipedia-org-7018 23 43 { { -LRB- en-wikipedia-org-7018 23 44 x x SYM en-wikipedia-org-7018 23 45 1 1 CD en-wikipedia-org-7018 23 46 ′ ′ CD en-wikipedia-org-7018 23 47 , , , en-wikipedia-org-7018 23 48 . . . en-wikipedia-org-7018 24 1 . . . en-wikipedia-org-7018 25 1 . . . en-wikipedia-org-7018 26 1 , , , en-wikipedia-org-7018 26 2 x x SYM en-wikipedia-org-7018 26 3 n n NNP en-wikipedia-org-7018 26 4 ′ ′ NN en-wikipedia-org-7018 26 5 } } -RRB- en-wikipedia-org-7018 26 6 { { -LRB- en-wikipedia-org-7018 26 7 \displaystyle \displaystyle CD en-wikipedia-org-7018 26 8 \{x_{1}', \{x_{1}', NNS en-wikipedia-org-7018 26 9 ... ... NFP en-wikipedia-org-7018 26 10 ,x_{n}'\ ,x_{n}'\ . en-wikipedia-org-7018 26 11 } } -RRB- en-wikipedia-org-7018 26 12 } } -RRB- en-wikipedia-org-7018 26 13 where where WRB en-wikipedia-org-7018 26 14 , , , en-wikipedia-org-7018 26 15 for for IN en-wikipedia-org-7018 26 16 utility utility NN en-wikipedia-org-7018 26 17 function function NN en-wikipedia-org-7018 26 18 u u NNP en-wikipedia-org-7018 26 19 i i NN en-wikipedia-org-7018 26 20 { { -LRB- en-wikipedia-org-7018 26 21 \displaystyle \displaystyle CD en-wikipedia-org-7018 26 22 u_{i u_{i NN en-wikipedia-org-7018 26 23 } } -RRB- en-wikipedia-org-7018 26 24 } } -RRB- en-wikipedia-org-7018 26 25 for for IN en-wikipedia-org-7018 26 26 each each DT en-wikipedia-org-7018 26 27 agent agent NN en-wikipedia-org-7018 26 28 i i PRP en-wikipedia-org-7018 26 29 { { -LRB- en-wikipedia-org-7018 26 30 \displaystyle \displaystyle UH en-wikipedia-org-7018 26 31 i i NN en-wikipedia-org-7018 26 32 } } -RRB- en-wikipedia-org-7018 26 33 , , , en-wikipedia-org-7018 26 34 u u NNP en-wikipedia-org-7018 26 35 i i NNP en-wikipedia-org-7018 26 36 ( ( -LRB- en-wikipedia-org-7018 26 37 x x SYM en-wikipedia-org-7018 26 38 i i NN en-wikipedia-org-7018 26 39 ′ ′ . en-wikipedia-org-7018 26 40 ) ) -RRB- en-wikipedia-org-7018 26 41 ≥ ≥ UH en-wikipedia-org-7018 26 42 u u UH en-wikipedia-org-7018 26 43 i i NNP en-wikipedia-org-7018 26 44 ( ( -LRB- en-wikipedia-org-7018 26 45 x x NNP en-wikipedia-org-7018 26 46 i i NN en-wikipedia-org-7018 26 47 ) ) -RRB- en-wikipedia-org-7018 26 48 { { -LRB- en-wikipedia-org-7018 26 49 \displaystyle \displaystyle CD en-wikipedia-org-7018 26 50 u_{i}(x_{i}')\geq u_{i}(x_{i}')\geq NNP en-wikipedia-org-7018 26 51 u_{i}(x_{i u_{i}(x_{i NNP en-wikipedia-org-7018 26 52 } } -RRB- en-wikipedia-org-7018 26 53 ) ) -RRB- en-wikipedia-org-7018 26 54 } } -RRB- en-wikipedia-org-7018 26 55 for for IN en-wikipedia-org-7018 26 56 all all DT en-wikipedia-org-7018 26 57 i i PRP en-wikipedia-org-7018 26 58 ∈ ∈ VBP en-wikipedia-org-7018 26 59 { { -LRB- en-wikipedia-org-7018 26 60 1 1 CD en-wikipedia-org-7018 26 61 , , , en-wikipedia-org-7018 26 62 . . . en-wikipedia-org-7018 27 1 . . . en-wikipedia-org-7018 28 1 . . . en-wikipedia-org-7018 29 1 , , , en-wikipedia-org-7018 29 2 n n JJ en-wikipedia-org-7018 29 3 } } -RRB- en-wikipedia-org-7018 29 4 { { -LRB- en-wikipedia-org-7018 29 5 \displaystyle \displaystyle CD en-wikipedia-org-7018 29 6 i\in i\in NNP en-wikipedia-org-7018 29 7 \{1, \{1, NNP en-wikipedia-org-7018 29 8 ... ... NFP en-wikipedia-org-7018 29 9 ,n\ ,n\ NFP en-wikipedia-org-7018 29 10 } } -RRB- en-wikipedia-org-7018 29 11 } } -RRB- en-wikipedia-org-7018 29 12 with with IN en-wikipedia-org-7018 29 13 u u NNP en-wikipedia-org-7018 29 14 i i NNP en-wikipedia-org-7018 29 15 ( ( -LRB- en-wikipedia-org-7018 29 16 x x SYM en-wikipedia-org-7018 29 17 i i NN en-wikipedia-org-7018 29 18 ′ ′ XX en-wikipedia-org-7018 29 19 ) ) -RRB- en-wikipedia-org-7018 29 20 > > XX en-wikipedia-org-7018 29 21 u u NNP en-wikipedia-org-7018 29 22 i i NNP en-wikipedia-org-7018 29 23 ( ( -LRB- en-wikipedia-org-7018 29 24 x x NNP en-wikipedia-org-7018 29 25 i i NN en-wikipedia-org-7018 29 26 ) ) -RRB- en-wikipedia-org-7018 29 27 { { -LRB- en-wikipedia-org-7018 29 28 \displaystyle \displaystyle CD en-wikipedia-org-7018 29 29 u_{i}(x_{i}')>u_{i}(x_{i u_{i}(x_{i}')>u_{i}(x_{i CD en-wikipedia-org-7018 29 30 } } -RRB- en-wikipedia-org-7018 29 31 ) ) -RRB- en-wikipedia-org-7018 29 32 } } -RRB- en-wikipedia-org-7018 29 33 for for IN en-wikipedia-org-7018 29 34 some some DT en-wikipedia-org-7018 29 35 i i PRP en-wikipedia-org-7018 29 36 { { -LRB- en-wikipedia-org-7018 29 37 \displaystyle \displaystyle UH en-wikipedia-org-7018 29 38 i i PRP en-wikipedia-org-7018 29 39 } } -RRB- en-wikipedia-org-7018 29 40 . . . en-wikipedia-org-7018 30 1 [ [ -LRB- en-wikipedia-org-7018 30 2 4 4 LS en-wikipedia-org-7018 30 3 ] ] -RRB- en-wikipedia-org-7018 30 4 Here here RB en-wikipedia-org-7018 30 5 , , , en-wikipedia-org-7018 30 6 in in IN en-wikipedia-org-7018 30 7 this this DT en-wikipedia-org-7018 30 8 simple simple JJ en-wikipedia-org-7018 30 9 economy economy NN en-wikipedia-org-7018 30 10 , , , en-wikipedia-org-7018 30 11 " " `` en-wikipedia-org-7018 30 12 feasibility feasibility NN en-wikipedia-org-7018 30 13 " " '' en-wikipedia-org-7018 30 14 refers refer VBZ en-wikipedia-org-7018 30 15 to to IN en-wikipedia-org-7018 30 16 an an DT en-wikipedia-org-7018 30 17 allocation allocation NN en-wikipedia-org-7018 30 18 where where WRB en-wikipedia-org-7018 30 19 the the DT en-wikipedia-org-7018 30 20 total total JJ en-wikipedia-org-7018 30 21 amount amount NN en-wikipedia-org-7018 30 22 of of IN en-wikipedia-org-7018 30 23 each each DT en-wikipedia-org-7018 30 24 good good JJ en-wikipedia-org-7018 30 25 that that WDT en-wikipedia-org-7018 30 26 is be VBZ en-wikipedia-org-7018 30 27 allocated allocate VBN en-wikipedia-org-7018 30 28 sums sum NNS en-wikipedia-org-7018 30 29 to to IN en-wikipedia-org-7018 30 30 no no DT en-wikipedia-org-7018 30 31 more more JJR en-wikipedia-org-7018 30 32 than than IN en-wikipedia-org-7018 30 33 the the DT en-wikipedia-org-7018 30 34 total total JJ en-wikipedia-org-7018 30 35 amount amount NN en-wikipedia-org-7018 30 36 of of IN en-wikipedia-org-7018 30 37 the the DT en-wikipedia-org-7018 30 38 good good NN en-wikipedia-org-7018 30 39 in in IN en-wikipedia-org-7018 30 40 the the DT en-wikipedia-org-7018 30 41 economy economy NN en-wikipedia-org-7018 30 42 . . . en-wikipedia-org-7018 31 1 In in IN en-wikipedia-org-7018 31 2 a a DT en-wikipedia-org-7018 31 3 more more RBR en-wikipedia-org-7018 31 4 complex complex JJ en-wikipedia-org-7018 31 5 economy economy NN en-wikipedia-org-7018 31 6 with with IN en-wikipedia-org-7018 31 7 production production NN en-wikipedia-org-7018 31 8 , , , en-wikipedia-org-7018 31 9 an an DT en-wikipedia-org-7018 31 10 allocation allocation NN en-wikipedia-org-7018 31 11 would would MD en-wikipedia-org-7018 31 12 consist consist VB en-wikipedia-org-7018 31 13 both both DT en-wikipedia-org-7018 31 14 of of IN en-wikipedia-org-7018 31 15 consumption consumption NN en-wikipedia-org-7018 31 16 vectors vector NNS en-wikipedia-org-7018 31 17 and and CC en-wikipedia-org-7018 31 18 production production NN en-wikipedia-org-7018 31 19 vectors vector NNS en-wikipedia-org-7018 31 20 , , , en-wikipedia-org-7018 31 21 and and CC en-wikipedia-org-7018 31 22 feasibility feasibility NN en-wikipedia-org-7018 31 23 would would MD en-wikipedia-org-7018 31 24 require require VB en-wikipedia-org-7018 31 25 that that IN en-wikipedia-org-7018 31 26 the the DT en-wikipedia-org-7018 31 27 total total JJ en-wikipedia-org-7018 31 28 amount amount NN en-wikipedia-org-7018 31 29 of of IN en-wikipedia-org-7018 31 30 each each DT en-wikipedia-org-7018 31 31 consumed consume VBN en-wikipedia-org-7018 31 32 good good NN en-wikipedia-org-7018 31 33 is be VBZ en-wikipedia-org-7018 31 34 no no RB en-wikipedia-org-7018 31 35 greater great JJR en-wikipedia-org-7018 31 36 than than IN en-wikipedia-org-7018 31 37 the the DT en-wikipedia-org-7018 31 38 initial initial JJ en-wikipedia-org-7018 31 39 endowment endowment NN en-wikipedia-org-7018 31 40 plus plus CC en-wikipedia-org-7018 31 41 the the DT en-wikipedia-org-7018 31 42 amount amount NN en-wikipedia-org-7018 31 43 produced produce VBN en-wikipedia-org-7018 31 44 . . . en-wikipedia-org-7018 32 1 Under under IN en-wikipedia-org-7018 32 2 the the DT en-wikipedia-org-7018 32 3 assumptions assumption NNS en-wikipedia-org-7018 32 4 of of IN en-wikipedia-org-7018 32 5 the the DT en-wikipedia-org-7018 32 6 first first JJ en-wikipedia-org-7018 32 7 welfare welfare NN en-wikipedia-org-7018 32 8 theorem theorem NN en-wikipedia-org-7018 32 9 , , , en-wikipedia-org-7018 32 10 a a DT en-wikipedia-org-7018 32 11 competitive competitive JJ en-wikipedia-org-7018 32 12 market market NN en-wikipedia-org-7018 32 13 leads lead VBZ en-wikipedia-org-7018 32 14 to to IN en-wikipedia-org-7018 32 15 a a DT en-wikipedia-org-7018 32 16 Pareto Pareto NNP en-wikipedia-org-7018 32 17 - - HYPH en-wikipedia-org-7018 32 18 efficient efficient JJ en-wikipedia-org-7018 32 19 outcome outcome NN en-wikipedia-org-7018 32 20 . . . en-wikipedia-org-7018 33 1 This this DT en-wikipedia-org-7018 33 2 result result NN en-wikipedia-org-7018 33 3 was be VBD en-wikipedia-org-7018 33 4 first first RB en-wikipedia-org-7018 33 5 demonstrated demonstrate VBN en-wikipedia-org-7018 33 6 mathematically mathematically RB en-wikipedia-org-7018 33 7 by by IN en-wikipedia-org-7018 33 8 economists economist NNS en-wikipedia-org-7018 33 9 Kenneth Kenneth NNP en-wikipedia-org-7018 33 10 Arrow Arrow NNP en-wikipedia-org-7018 33 11 and and CC en-wikipedia-org-7018 33 12 Gérard Gérard NNP en-wikipedia-org-7018 33 13 Debreu Debreu NNP en-wikipedia-org-7018 33 14 . . . en-wikipedia-org-7018 34 1 [ [ -LRB- en-wikipedia-org-7018 34 2 5][citation 5][citation CD en-wikipedia-org-7018 34 3 needed need VBN en-wikipedia-org-7018 34 4 ] ] -RRB- en-wikipedia-org-7018 34 5 However however RB en-wikipedia-org-7018 34 6 , , , en-wikipedia-org-7018 34 7 the the DT en-wikipedia-org-7018 34 8 result result NN en-wikipedia-org-7018 34 9 only only RB en-wikipedia-org-7018 34 10 holds hold VBZ en-wikipedia-org-7018 34 11 under under IN en-wikipedia-org-7018 34 12 the the DT en-wikipedia-org-7018 34 13 assumptions assumption NNS en-wikipedia-org-7018 34 14 of of IN en-wikipedia-org-7018 34 15 the the DT en-wikipedia-org-7018 34 16 theorem theorem NN en-wikipedia-org-7018 34 17 : : : en-wikipedia-org-7018 34 18 markets market NNS en-wikipedia-org-7018 34 19 exist exist VBP en-wikipedia-org-7018 34 20 for for IN en-wikipedia-org-7018 34 21 all all DT en-wikipedia-org-7018 34 22 possible possible JJ en-wikipedia-org-7018 34 23 goods good NNS en-wikipedia-org-7018 34 24 , , , en-wikipedia-org-7018 34 25 there there EX en-wikipedia-org-7018 34 26 are be VBP en-wikipedia-org-7018 34 27 no no DT en-wikipedia-org-7018 34 28 externalities externality NNS en-wikipedia-org-7018 34 29 ; ; : en-wikipedia-org-7018 34 30 markets market NNS en-wikipedia-org-7018 34 31 are be VBP en-wikipedia-org-7018 34 32 perfectly perfectly RB en-wikipedia-org-7018 34 33 competitive competitive JJ en-wikipedia-org-7018 34 34 ; ; : en-wikipedia-org-7018 34 35 and and CC en-wikipedia-org-7018 34 36 market market NN en-wikipedia-org-7018 34 37 participants participant NNS en-wikipedia-org-7018 34 38 have have VBP en-wikipedia-org-7018 34 39 perfect perfect JJ en-wikipedia-org-7018 34 40 information information NN en-wikipedia-org-7018 34 41 . . . en-wikipedia-org-7018 35 1 In in IN en-wikipedia-org-7018 35 2 the the DT en-wikipedia-org-7018 35 3 absence absence NN en-wikipedia-org-7018 35 4 of of IN en-wikipedia-org-7018 35 5 perfect perfect JJ en-wikipedia-org-7018 35 6 information information NN en-wikipedia-org-7018 35 7 or or CC en-wikipedia-org-7018 35 8 complete complete JJ en-wikipedia-org-7018 35 9 markets market NNS en-wikipedia-org-7018 35 10 , , , en-wikipedia-org-7018 35 11 outcomes outcome NNS en-wikipedia-org-7018 35 12 will will MD en-wikipedia-org-7018 35 13 generally generally RB en-wikipedia-org-7018 35 14 be be VB en-wikipedia-org-7018 35 15 Pareto Pareto NNP en-wikipedia-org-7018 35 16 inefficient inefficient JJ en-wikipedia-org-7018 35 17 , , , en-wikipedia-org-7018 35 18 per per IN en-wikipedia-org-7018 35 19 the the DT en-wikipedia-org-7018 35 20 Greenwald Greenwald NNP en-wikipedia-org-7018 35 21 - - HYPH en-wikipedia-org-7018 35 22 Stiglitz Stiglitz NNP en-wikipedia-org-7018 35 23 theorem theorem NN en-wikipedia-org-7018 35 24 . . . en-wikipedia-org-7018 36 1 [ [ -LRB- en-wikipedia-org-7018 36 2 6 6 CD en-wikipedia-org-7018 36 3 ] ] -RRB- en-wikipedia-org-7018 36 4 The the DT en-wikipedia-org-7018 36 5 second second JJ en-wikipedia-org-7018 36 6 welfare welfare NN en-wikipedia-org-7018 36 7 theorem theorem NN en-wikipedia-org-7018 36 8 is be VBZ en-wikipedia-org-7018 36 9 essentially essentially RB en-wikipedia-org-7018 36 10 the the DT en-wikipedia-org-7018 36 11 reverse reverse NN en-wikipedia-org-7018 36 12 of of IN en-wikipedia-org-7018 36 13 the the DT en-wikipedia-org-7018 36 14 first first JJ en-wikipedia-org-7018 36 15 welfare welfare NN en-wikipedia-org-7018 36 16 - - HYPH en-wikipedia-org-7018 36 17 theorem theorem NN en-wikipedia-org-7018 36 18 . . . en-wikipedia-org-7018 37 1 It -PRON- PRP en-wikipedia-org-7018 37 2 states state VBZ en-wikipedia-org-7018 37 3 that that IN en-wikipedia-org-7018 37 4 under under IN en-wikipedia-org-7018 37 5 similar similar JJ en-wikipedia-org-7018 37 6 , , , en-wikipedia-org-7018 37 7 ideal ideal JJ en-wikipedia-org-7018 37 8 assumptions assumption NNS en-wikipedia-org-7018 37 9 , , , en-wikipedia-org-7018 37 10 any any DT en-wikipedia-org-7018 37 11 Pareto Pareto NNP en-wikipedia-org-7018 37 12 optimum optimum NN en-wikipedia-org-7018 37 13 can can MD en-wikipedia-org-7018 37 14 be be VB en-wikipedia-org-7018 37 15 obtained obtain VBN en-wikipedia-org-7018 37 16 by by IN en-wikipedia-org-7018 37 17 some some DT en-wikipedia-org-7018 37 18 competitive competitive JJ en-wikipedia-org-7018 37 19 equilibrium equilibrium NN en-wikipedia-org-7018 37 20 , , , en-wikipedia-org-7018 37 21 or or CC en-wikipedia-org-7018 37 22 free free JJ en-wikipedia-org-7018 37 23 market market NN en-wikipedia-org-7018 37 24 system system NN en-wikipedia-org-7018 37 25 , , , en-wikipedia-org-7018 37 26 although although IN en-wikipedia-org-7018 37 27 it -PRON- PRP en-wikipedia-org-7018 37 28 may may MD en-wikipedia-org-7018 37 29 also also RB en-wikipedia-org-7018 37 30 require require VB en-wikipedia-org-7018 37 31 a a DT en-wikipedia-org-7018 37 32 lump lump NN en-wikipedia-org-7018 37 33 - - HYPH en-wikipedia-org-7018 37 34 sum sum NN en-wikipedia-org-7018 37 35 transfer transfer NN en-wikipedia-org-7018 37 36 of of IN en-wikipedia-org-7018 37 37 wealth wealth NN en-wikipedia-org-7018 37 38 . . . en-wikipedia-org-7018 38 1 [ [ -LRB- en-wikipedia-org-7018 38 2 4 4 LS en-wikipedia-org-7018 38 3 ] ] -RRB- en-wikipedia-org-7018 38 4 Weak weak JJ en-wikipedia-org-7018 38 5 Pareto Pareto NNP en-wikipedia-org-7018 38 6 efficiency[edit efficiency[edit CD en-wikipedia-org-7018 38 7 ] ] -RRB- en-wikipedia-org-7018 38 8 Weak weak JJ en-wikipedia-org-7018 38 9 Pareto Pareto NNP en-wikipedia-org-7018 38 10 optimality optimality NN en-wikipedia-org-7018 38 11 is be VBZ en-wikipedia-org-7018 38 12 a a DT en-wikipedia-org-7018 38 13 situation situation NN en-wikipedia-org-7018 38 14 that that WDT en-wikipedia-org-7018 38 15 can can MD en-wikipedia-org-7018 38 16 not not RB en-wikipedia-org-7018 38 17 be be VB en-wikipedia-org-7018 38 18 strictly strictly RB en-wikipedia-org-7018 38 19 improved improve VBN en-wikipedia-org-7018 38 20 for for IN en-wikipedia-org-7018 38 21 every every DT en-wikipedia-org-7018 38 22 individual individual NN en-wikipedia-org-7018 38 23 . . . en-wikipedia-org-7018 39 1 [ [ -LRB- en-wikipedia-org-7018 39 2 7 7 CD en-wikipedia-org-7018 39 3 ] ] -RRB- en-wikipedia-org-7018 39 4 Formally Formally NNP en-wikipedia-org-7018 39 5 , , , en-wikipedia-org-7018 39 6 a a DT en-wikipedia-org-7018 39 7 strong strong JJ en-wikipedia-org-7018 39 8 Pareto Pareto NNP en-wikipedia-org-7018 39 9 improvement improvement NN en-wikipedia-org-7018 39 10 is be VBZ en-wikipedia-org-7018 39 11 defined define VBN en-wikipedia-org-7018 39 12 as as IN en-wikipedia-org-7018 39 13 a a DT en-wikipedia-org-7018 39 14 situation situation NN en-wikipedia-org-7018 39 15 in in IN en-wikipedia-org-7018 39 16 which which WDT en-wikipedia-org-7018 39 17 all all DT en-wikipedia-org-7018 39 18 agents agent NNS en-wikipedia-org-7018 39 19 are be VBP en-wikipedia-org-7018 39 20 strictly strictly RB en-wikipedia-org-7018 39 21 better well JJR en-wikipedia-org-7018 39 22 - - HYPH en-wikipedia-org-7018 39 23 off off RP en-wikipedia-org-7018 39 24 ( ( -LRB- en-wikipedia-org-7018 39 25 in in IN en-wikipedia-org-7018 39 26 contrast contrast NN en-wikipedia-org-7018 39 27 to to IN en-wikipedia-org-7018 39 28 just just RB en-wikipedia-org-7018 39 29 " " `` en-wikipedia-org-7018 39 30 Pareto Pareto NNP en-wikipedia-org-7018 39 31 improvement improvement NN en-wikipedia-org-7018 39 32 " " '' en-wikipedia-org-7018 39 33 , , , en-wikipedia-org-7018 39 34 which which WDT en-wikipedia-org-7018 39 35 requires require VBZ en-wikipedia-org-7018 39 36 that that IN en-wikipedia-org-7018 39 37 one one CD en-wikipedia-org-7018 39 38 agent agent NN en-wikipedia-org-7018 39 39 is be VBZ en-wikipedia-org-7018 39 40 strictly strictly RB en-wikipedia-org-7018 39 41 better well JJR en-wikipedia-org-7018 39 42 - - HYPH en-wikipedia-org-7018 39 43 off off NN en-wikipedia-org-7018 39 44 and and CC en-wikipedia-org-7018 39 45 the the DT en-wikipedia-org-7018 39 46 other other JJ en-wikipedia-org-7018 39 47 agents agent NNS en-wikipedia-org-7018 39 48 are be VBP en-wikipedia-org-7018 39 49 at at IN en-wikipedia-org-7018 39 50 least least JJS en-wikipedia-org-7018 39 51 as as IN en-wikipedia-org-7018 39 52 good good JJ en-wikipedia-org-7018 39 53 ) ) -RRB- en-wikipedia-org-7018 39 54 . . . en-wikipedia-org-7018 40 1 A a DT en-wikipedia-org-7018 40 2 situation situation NN en-wikipedia-org-7018 40 3 is be VBZ en-wikipedia-org-7018 40 4 weak weak JJ en-wikipedia-org-7018 40 5 Pareto Pareto NNP en-wikipedia-org-7018 40 6 - - HYPH en-wikipedia-org-7018 40 7 optimal optimal NNP en-wikipedia-org-7018 40 8 if if IN en-wikipedia-org-7018 40 9 it -PRON- PRP en-wikipedia-org-7018 40 10 has have VBZ en-wikipedia-org-7018 40 11 no no DT en-wikipedia-org-7018 40 12 strong strong JJ en-wikipedia-org-7018 40 13 Pareto Pareto NNP en-wikipedia-org-7018 40 14 - - HYPH en-wikipedia-org-7018 40 15 improvements improvement NNS en-wikipedia-org-7018 40 16 . . . en-wikipedia-org-7018 41 1 Any any DT en-wikipedia-org-7018 41 2 strong strong JJ en-wikipedia-org-7018 41 3 Pareto Pareto NNP en-wikipedia-org-7018 41 4 - - HYPH en-wikipedia-org-7018 41 5 improvement improvement NN en-wikipedia-org-7018 41 6 is be VBZ en-wikipedia-org-7018 41 7 also also RB en-wikipedia-org-7018 41 8 a a DT en-wikipedia-org-7018 41 9 weak weak JJ en-wikipedia-org-7018 41 10 Pareto Pareto NNP en-wikipedia-org-7018 41 11 - - HYPH en-wikipedia-org-7018 41 12 improvement improvement NN en-wikipedia-org-7018 41 13 . . . en-wikipedia-org-7018 42 1 The the DT en-wikipedia-org-7018 42 2 opposite opposite NN en-wikipedia-org-7018 42 3 is be VBZ en-wikipedia-org-7018 42 4 not not RB en-wikipedia-org-7018 42 5 true true JJ en-wikipedia-org-7018 42 6 ; ; : en-wikipedia-org-7018 42 7 for for IN en-wikipedia-org-7018 42 8 example example NN en-wikipedia-org-7018 42 9 , , , en-wikipedia-org-7018 42 10 consider consider VB en-wikipedia-org-7018 42 11 a a DT en-wikipedia-org-7018 42 12 resource resource NN en-wikipedia-org-7018 42 13 allocation allocation NN en-wikipedia-org-7018 42 14 problem problem NN en-wikipedia-org-7018 42 15 with with IN en-wikipedia-org-7018 42 16 two two CD en-wikipedia-org-7018 42 17 resources resource NNS en-wikipedia-org-7018 42 18 , , , en-wikipedia-org-7018 42 19 which which WDT en-wikipedia-org-7018 42 20 Alice Alice NNP en-wikipedia-org-7018 42 21 values value NNS en-wikipedia-org-7018 42 22 at at IN en-wikipedia-org-7018 42 23 10 10 CD en-wikipedia-org-7018 42 24 , , , en-wikipedia-org-7018 42 25 0 0 CD en-wikipedia-org-7018 42 26 and and CC en-wikipedia-org-7018 42 27 George George NNP en-wikipedia-org-7018 42 28 values value NNS en-wikipedia-org-7018 42 29 at at IN en-wikipedia-org-7018 42 30 5 5 CD en-wikipedia-org-7018 42 31 , , , en-wikipedia-org-7018 42 32 5 5 CD en-wikipedia-org-7018 42 33 . . . en-wikipedia-org-7018 43 1 Consider consider VB en-wikipedia-org-7018 43 2 the the DT en-wikipedia-org-7018 43 3 allocation allocation NN en-wikipedia-org-7018 43 4 giving give VBG en-wikipedia-org-7018 43 5 all all DT en-wikipedia-org-7018 43 6 resources resource NNS en-wikipedia-org-7018 43 7 to to IN en-wikipedia-org-7018 43 8 Alice Alice NNP en-wikipedia-org-7018 43 9 , , , en-wikipedia-org-7018 43 10 where where WRB en-wikipedia-org-7018 43 11 the the DT en-wikipedia-org-7018 43 12 utility utility NN en-wikipedia-org-7018 43 13 profile profile NN en-wikipedia-org-7018 43 14 is be VBZ en-wikipedia-org-7018 43 15 ( ( -LRB- en-wikipedia-org-7018 43 16 10,0 10,0 CD en-wikipedia-org-7018 43 17 ) ) -RRB- en-wikipedia-org-7018 43 18 : : : en-wikipedia-org-7018 43 19 It -PRON- PRP en-wikipedia-org-7018 43 20 is be VBZ en-wikipedia-org-7018 43 21 a a DT en-wikipedia-org-7018 43 22 weak weak JJ en-wikipedia-org-7018 43 23 - - HYPH en-wikipedia-org-7018 43 24 PO po NN en-wikipedia-org-7018 43 25 , , , en-wikipedia-org-7018 43 26 since since IN en-wikipedia-org-7018 43 27 no no DT en-wikipedia-org-7018 43 28 other other JJ en-wikipedia-org-7018 43 29 allocation allocation NN en-wikipedia-org-7018 43 30 is be VBZ en-wikipedia-org-7018 43 31 strictly strictly RB en-wikipedia-org-7018 43 32 better well JJR en-wikipedia-org-7018 43 33 to to IN en-wikipedia-org-7018 43 34 both both DT en-wikipedia-org-7018 43 35 agents agent NNS en-wikipedia-org-7018 43 36 ( ( -LRB- en-wikipedia-org-7018 43 37 there there EX en-wikipedia-org-7018 43 38 are be VBP en-wikipedia-org-7018 43 39 no no DT en-wikipedia-org-7018 43 40 strong strong JJ en-wikipedia-org-7018 43 41 Pareto Pareto NNP en-wikipedia-org-7018 43 42 improvements improvement NNS en-wikipedia-org-7018 43 43 ) ) -RRB- en-wikipedia-org-7018 43 44 . . . en-wikipedia-org-7018 44 1 But but CC en-wikipedia-org-7018 44 2 it -PRON- PRP en-wikipedia-org-7018 44 3 is be VBZ en-wikipedia-org-7018 44 4 not not RB en-wikipedia-org-7018 44 5 a a DT en-wikipedia-org-7018 44 6 strong strong JJ en-wikipedia-org-7018 44 7 - - HYPH en-wikipedia-org-7018 44 8 PO po NN en-wikipedia-org-7018 44 9 , , , en-wikipedia-org-7018 44 10 since since IN en-wikipedia-org-7018 44 11 the the DT en-wikipedia-org-7018 44 12 allocation allocation NN en-wikipedia-org-7018 44 13 in in IN en-wikipedia-org-7018 44 14 which which WDT en-wikipedia-org-7018 44 15 George George NNP en-wikipedia-org-7018 44 16 gets get VBZ en-wikipedia-org-7018 44 17 the the DT en-wikipedia-org-7018 44 18 second second JJ en-wikipedia-org-7018 44 19 resource resource NN en-wikipedia-org-7018 44 20 is be VBZ en-wikipedia-org-7018 44 21 strictly strictly RB en-wikipedia-org-7018 44 22 better well JJR en-wikipedia-org-7018 44 23 for for IN en-wikipedia-org-7018 44 24 George George NNP en-wikipedia-org-7018 44 25 and and CC en-wikipedia-org-7018 44 26 weakly weakly RB en-wikipedia-org-7018 44 27 better well JJR en-wikipedia-org-7018 44 28 for for IN en-wikipedia-org-7018 44 29 Alice Alice NNP en-wikipedia-org-7018 44 30 ( ( -LRB- en-wikipedia-org-7018 44 31 it -PRON- PRP en-wikipedia-org-7018 44 32 is be VBZ en-wikipedia-org-7018 44 33 a a DT en-wikipedia-org-7018 44 34 weak weak JJ en-wikipedia-org-7018 44 35 Pareto Pareto NNP en-wikipedia-org-7018 44 36 improvement improvement NN en-wikipedia-org-7018 44 37 ) ) -RRB- en-wikipedia-org-7018 44 38 - - : en-wikipedia-org-7018 44 39 its -PRON- PRP$ en-wikipedia-org-7018 44 40 utility utility NN en-wikipedia-org-7018 44 41 profile profile NN en-wikipedia-org-7018 44 42 is be VBZ en-wikipedia-org-7018 44 43 ( ( -LRB- en-wikipedia-org-7018 44 44 10,5 10,5 NN en-wikipedia-org-7018 44 45 ) ) -RRB- en-wikipedia-org-7018 44 46 . . . en-wikipedia-org-7018 45 1 A a DT en-wikipedia-org-7018 45 2 market market NN en-wikipedia-org-7018 45 3 does do VBZ en-wikipedia-org-7018 45 4 n't not RB en-wikipedia-org-7018 45 5 require require VB en-wikipedia-org-7018 45 6 local local JJ en-wikipedia-org-7018 45 7 nonsatiation nonsatiation NN en-wikipedia-org-7018 45 8 to to TO en-wikipedia-org-7018 45 9 get get VB en-wikipedia-org-7018 45 10 to to IN en-wikipedia-org-7018 45 11 a a DT en-wikipedia-org-7018 45 12 weak weak JJ en-wikipedia-org-7018 45 13 Pareto Pareto NNP en-wikipedia-org-7018 45 14 - - HYPH en-wikipedia-org-7018 45 15 optimum optimum JJ en-wikipedia-org-7018 45 16 . . . en-wikipedia-org-7018 46 1 [ [ -LRB- en-wikipedia-org-7018 46 2 8 8 CD en-wikipedia-org-7018 46 3 ] ] -RRB- en-wikipedia-org-7018 46 4 Constrained constrain VBN en-wikipedia-org-7018 46 5 Pareto Pareto NNP en-wikipedia-org-7018 46 6 efficiency efficiency NN en-wikipedia-org-7018 46 7 [ [ -LRB- en-wikipedia-org-7018 46 8 edit edit NN en-wikipedia-org-7018 46 9 ] ] -RRB- en-wikipedia-org-7018 46 10 Constrained constrain VBD en-wikipedia-org-7018 46 11 Pareto Pareto NNP en-wikipedia-org-7018 46 12 optimality optimality NN en-wikipedia-org-7018 46 13 is be VBZ en-wikipedia-org-7018 46 14 a a DT en-wikipedia-org-7018 46 15 weakening weakening NN en-wikipedia-org-7018 46 16 of of IN en-wikipedia-org-7018 46 17 Pareto Pareto NNP en-wikipedia-org-7018 46 18 - - HYPH en-wikipedia-org-7018 46 19 optimality optimality NN en-wikipedia-org-7018 46 20 , , , en-wikipedia-org-7018 46 21 accounting account VBG en-wikipedia-org-7018 46 22 for for IN en-wikipedia-org-7018 46 23 the the DT en-wikipedia-org-7018 46 24 fact fact NN en-wikipedia-org-7018 46 25 that that IN en-wikipedia-org-7018 46 26 a a DT en-wikipedia-org-7018 46 27 potential potential JJ en-wikipedia-org-7018 46 28 planner planner NN en-wikipedia-org-7018 46 29 ( ( -LRB- en-wikipedia-org-7018 46 30 e.g. e.g. RB en-wikipedia-org-7018 46 31 , , , en-wikipedia-org-7018 46 32 the the DT en-wikipedia-org-7018 46 33 government government NN en-wikipedia-org-7018 46 34 ) ) -RRB- en-wikipedia-org-7018 46 35 may may MD en-wikipedia-org-7018 46 36 not not RB en-wikipedia-org-7018 46 37 be be VB en-wikipedia-org-7018 46 38 able able JJ en-wikipedia-org-7018 46 39 to to TO en-wikipedia-org-7018 46 40 improve improve VB en-wikipedia-org-7018 46 41 upon upon IN en-wikipedia-org-7018 46 42 a a DT en-wikipedia-org-7018 46 43 decentralized decentralized JJ en-wikipedia-org-7018 46 44 market market NN en-wikipedia-org-7018 46 45 outcome outcome NN en-wikipedia-org-7018 46 46 , , , en-wikipedia-org-7018 46 47 even even RB en-wikipedia-org-7018 46 48 if if IN en-wikipedia-org-7018 46 49 that that DT en-wikipedia-org-7018 46 50 outcome outcome NN en-wikipedia-org-7018 46 51 is be VBZ en-wikipedia-org-7018 46 52 inefficient inefficient JJ en-wikipedia-org-7018 46 53 . . . en-wikipedia-org-7018 47 1 This this DT en-wikipedia-org-7018 47 2 will will MD en-wikipedia-org-7018 47 3 occur occur VB en-wikipedia-org-7018 47 4 if if IN en-wikipedia-org-7018 47 5 it -PRON- PRP en-wikipedia-org-7018 47 6 is be VBZ en-wikipedia-org-7018 47 7 limited limit VBN en-wikipedia-org-7018 47 8 by by IN en-wikipedia-org-7018 47 9 the the DT en-wikipedia-org-7018 47 10 same same JJ en-wikipedia-org-7018 47 11 informational informational JJ en-wikipedia-org-7018 47 12 or or CC en-wikipedia-org-7018 47 13 institutional institutional JJ en-wikipedia-org-7018 47 14 constraints constraint NNS en-wikipedia-org-7018 47 15 as as IN en-wikipedia-org-7018 47 16 are be VBP en-wikipedia-org-7018 47 17 individual individual JJ en-wikipedia-org-7018 47 18 agents agent NNS en-wikipedia-org-7018 47 19 . . . en-wikipedia-org-7018 48 1 [ [ -LRB- en-wikipedia-org-7018 48 2 9]:104 9]:104 CD en-wikipedia-org-7018 48 3 An an DT en-wikipedia-org-7018 48 4 example example NN en-wikipedia-org-7018 48 5 is be VBZ en-wikipedia-org-7018 48 6 of of IN en-wikipedia-org-7018 48 7 a a DT en-wikipedia-org-7018 48 8 setting setting NN en-wikipedia-org-7018 48 9 where where WRB en-wikipedia-org-7018 48 10 individuals individual NNS en-wikipedia-org-7018 48 11 have have VBP en-wikipedia-org-7018 48 12 private private JJ en-wikipedia-org-7018 48 13 information information NN en-wikipedia-org-7018 48 14 ( ( -LRB- en-wikipedia-org-7018 48 15 for for IN en-wikipedia-org-7018 48 16 example example NN en-wikipedia-org-7018 48 17 , , , en-wikipedia-org-7018 48 18 a a DT en-wikipedia-org-7018 48 19 labor labor NN en-wikipedia-org-7018 48 20 market market NN en-wikipedia-org-7018 48 21 where where WRB en-wikipedia-org-7018 48 22 the the DT en-wikipedia-org-7018 48 23 worker worker NN en-wikipedia-org-7018 48 24 's 's POS en-wikipedia-org-7018 48 25 own own JJ en-wikipedia-org-7018 48 26 productivity productivity NN en-wikipedia-org-7018 48 27 is be VBZ en-wikipedia-org-7018 48 28 known know VBN en-wikipedia-org-7018 48 29 to to IN en-wikipedia-org-7018 48 30 the the DT en-wikipedia-org-7018 48 31 worker worker NN en-wikipedia-org-7018 48 32 but but CC en-wikipedia-org-7018 48 33 not not RB en-wikipedia-org-7018 48 34 to to IN en-wikipedia-org-7018 48 35 a a DT en-wikipedia-org-7018 48 36 potential potential JJ en-wikipedia-org-7018 48 37 employer employer NN en-wikipedia-org-7018 48 38 , , , en-wikipedia-org-7018 48 39 or or CC en-wikipedia-org-7018 48 40 a a DT en-wikipedia-org-7018 48 41 used use VBN en-wikipedia-org-7018 48 42 - - HYPH en-wikipedia-org-7018 48 43 car car NN en-wikipedia-org-7018 48 44 market market NN en-wikipedia-org-7018 48 45 where where WRB en-wikipedia-org-7018 48 46 the the DT en-wikipedia-org-7018 48 47 quality quality NN en-wikipedia-org-7018 48 48 of of IN en-wikipedia-org-7018 48 49 a a DT en-wikipedia-org-7018 48 50 car car NN en-wikipedia-org-7018 48 51 is be VBZ en-wikipedia-org-7018 48 52 known know VBN en-wikipedia-org-7018 48 53 to to IN en-wikipedia-org-7018 48 54 the the DT en-wikipedia-org-7018 48 55 seller seller NN en-wikipedia-org-7018 48 56 but but CC en-wikipedia-org-7018 48 57 not not RB en-wikipedia-org-7018 48 58 to to IN en-wikipedia-org-7018 48 59 the the DT en-wikipedia-org-7018 48 60 buyer buyer NN en-wikipedia-org-7018 48 61 ) ) -RRB- en-wikipedia-org-7018 48 62 which which WDT en-wikipedia-org-7018 48 63 results result VBZ en-wikipedia-org-7018 48 64 in in IN en-wikipedia-org-7018 48 65 moral moral JJ en-wikipedia-org-7018 48 66 hazard hazard NN en-wikipedia-org-7018 48 67 or or CC en-wikipedia-org-7018 48 68 an an DT en-wikipedia-org-7018 48 69 adverse adverse JJ en-wikipedia-org-7018 48 70 selection selection NN en-wikipedia-org-7018 48 71 and and CC en-wikipedia-org-7018 48 72 a a DT en-wikipedia-org-7018 48 73 sub sub JJ en-wikipedia-org-7018 48 74 - - JJ en-wikipedia-org-7018 48 75 optimal optimal JJ en-wikipedia-org-7018 48 76 outcome outcome NN en-wikipedia-org-7018 48 77 . . . en-wikipedia-org-7018 49 1 In in IN en-wikipedia-org-7018 49 2 such such PDT en-wikipedia-org-7018 49 3 a a DT en-wikipedia-org-7018 49 4 case case NN en-wikipedia-org-7018 49 5 , , , en-wikipedia-org-7018 49 6 a a DT en-wikipedia-org-7018 49 7 planner planner NN en-wikipedia-org-7018 49 8 who who WP en-wikipedia-org-7018 49 9 wishes wish VBZ en-wikipedia-org-7018 49 10 to to TO en-wikipedia-org-7018 49 11 improve improve VB en-wikipedia-org-7018 49 12 the the DT en-wikipedia-org-7018 49 13 situation situation NN en-wikipedia-org-7018 49 14 is be VBZ en-wikipedia-org-7018 49 15 unlikely unlikely JJ en-wikipedia-org-7018 49 16 to to TO en-wikipedia-org-7018 49 17 have have VB en-wikipedia-org-7018 49 18 access access NN en-wikipedia-org-7018 49 19 to to IN en-wikipedia-org-7018 49 20 any any DT en-wikipedia-org-7018 49 21 information information NN en-wikipedia-org-7018 49 22 that that WDT en-wikipedia-org-7018 49 23 the the DT en-wikipedia-org-7018 49 24 participants participant NNS en-wikipedia-org-7018 49 25 in in IN en-wikipedia-org-7018 49 26 the the DT en-wikipedia-org-7018 49 27 markets market NNS en-wikipedia-org-7018 49 28 do do VBP en-wikipedia-org-7018 49 29 not not RB en-wikipedia-org-7018 49 30 have have VB en-wikipedia-org-7018 49 31 . . . en-wikipedia-org-7018 50 1 Hence hence RB en-wikipedia-org-7018 50 2 , , , en-wikipedia-org-7018 50 3 the the DT en-wikipedia-org-7018 50 4 planner planner NN en-wikipedia-org-7018 50 5 can can MD en-wikipedia-org-7018 50 6 not not RB en-wikipedia-org-7018 50 7 implement implement VB en-wikipedia-org-7018 50 8 allocation allocation NN en-wikipedia-org-7018 50 9 rules rule NNS en-wikipedia-org-7018 50 10 which which WDT en-wikipedia-org-7018 50 11 are be VBP en-wikipedia-org-7018 50 12 based base VBN en-wikipedia-org-7018 50 13 on on IN en-wikipedia-org-7018 50 14 the the DT en-wikipedia-org-7018 50 15 idiosyncratic idiosyncratic JJ en-wikipedia-org-7018 50 16 characteristics characteristic NNS en-wikipedia-org-7018 50 17 of of IN en-wikipedia-org-7018 50 18 individuals individual NNS en-wikipedia-org-7018 50 19 ; ; : en-wikipedia-org-7018 50 20 for for IN en-wikipedia-org-7018 50 21 example example NN en-wikipedia-org-7018 50 22 , , , en-wikipedia-org-7018 50 23 " " `` en-wikipedia-org-7018 50 24 if if IN en-wikipedia-org-7018 50 25 a a DT en-wikipedia-org-7018 50 26 person person NN en-wikipedia-org-7018 50 27 is be VBZ en-wikipedia-org-7018 50 28 of of IN en-wikipedia-org-7018 50 29 type type NN en-wikipedia-org-7018 50 30 A a NN en-wikipedia-org-7018 50 31 , , , en-wikipedia-org-7018 50 32 they -PRON- PRP en-wikipedia-org-7018 50 33 pay pay VBP en-wikipedia-org-7018 50 34 price price NN en-wikipedia-org-7018 50 35 p1 p1 NN en-wikipedia-org-7018 50 36 , , , en-wikipedia-org-7018 50 37 but but CC en-wikipedia-org-7018 50 38 if if IN en-wikipedia-org-7018 50 39 of of IN en-wikipedia-org-7018 50 40 type type NN en-wikipedia-org-7018 50 41 B b NN en-wikipedia-org-7018 50 42 , , , en-wikipedia-org-7018 50 43 they -PRON- PRP en-wikipedia-org-7018 50 44 pay pay VBP en-wikipedia-org-7018 50 45 price price NN en-wikipedia-org-7018 50 46 p2 p2 NN en-wikipedia-org-7018 50 47 " " '' en-wikipedia-org-7018 50 48 ( ( -LRB- en-wikipedia-org-7018 50 49 see see VB en-wikipedia-org-7018 50 50 Lindahl Lindahl NNP en-wikipedia-org-7018 50 51 prices price NNS en-wikipedia-org-7018 50 52 ) ) -RRB- en-wikipedia-org-7018 50 53 . . . en-wikipedia-org-7018 51 1 Essentially essentially RB en-wikipedia-org-7018 51 2 , , , en-wikipedia-org-7018 51 3 only only RB en-wikipedia-org-7018 51 4 anonymous anonymous JJ en-wikipedia-org-7018 51 5 rules rule NNS en-wikipedia-org-7018 51 6 are be VBP en-wikipedia-org-7018 51 7 allowed allow VBN en-wikipedia-org-7018 51 8 ( ( -LRB- en-wikipedia-org-7018 51 9 of of IN en-wikipedia-org-7018 51 10 the the DT en-wikipedia-org-7018 51 11 sort sort NN en-wikipedia-org-7018 51 12 " " `` en-wikipedia-org-7018 51 13 Everyone everyone NN en-wikipedia-org-7018 51 14 pays pay VBZ en-wikipedia-org-7018 51 15 price price NN en-wikipedia-org-7018 51 16 p p NN en-wikipedia-org-7018 51 17 " " '' en-wikipedia-org-7018 51 18 ) ) -RRB- en-wikipedia-org-7018 51 19 or or CC en-wikipedia-org-7018 51 20 rules rule NNS en-wikipedia-org-7018 51 21 based base VBN en-wikipedia-org-7018 51 22 on on IN en-wikipedia-org-7018 51 23 observable observable JJ en-wikipedia-org-7018 51 24 behavior behavior NN en-wikipedia-org-7018 51 25 ; ; : en-wikipedia-org-7018 51 26 " " `` en-wikipedia-org-7018 51 27 if if IN en-wikipedia-org-7018 51 28 any any DT en-wikipedia-org-7018 51 29 person person NN en-wikipedia-org-7018 51 30 chooses choose VBZ en-wikipedia-org-7018 51 31 x x SYM en-wikipedia-org-7018 51 32 at at IN en-wikipedia-org-7018 51 33 price price NN en-wikipedia-org-7018 51 34 px px NN en-wikipedia-org-7018 51 35 , , , en-wikipedia-org-7018 51 36 then then RB en-wikipedia-org-7018 51 37 they -PRON- PRP en-wikipedia-org-7018 51 38 get get VBP en-wikipedia-org-7018 51 39 a a DT en-wikipedia-org-7018 51 40 subsidy subsidy NN en-wikipedia-org-7018 51 41 of of IN en-wikipedia-org-7018 51 42 ten ten CD en-wikipedia-org-7018 51 43 dollars dollar NNS en-wikipedia-org-7018 51 44 , , , en-wikipedia-org-7018 51 45 and and CC en-wikipedia-org-7018 51 46 nothing nothing NN en-wikipedia-org-7018 51 47 otherwise otherwise RB en-wikipedia-org-7018 51 48 " " '' en-wikipedia-org-7018 51 49 . . . en-wikipedia-org-7018 52 1 If if IN en-wikipedia-org-7018 52 2 there there EX en-wikipedia-org-7018 52 3 exists exist VBZ en-wikipedia-org-7018 52 4 no no DT en-wikipedia-org-7018 52 5 allowed allow VBN en-wikipedia-org-7018 52 6 rule rule NN en-wikipedia-org-7018 52 7 that that WDT en-wikipedia-org-7018 52 8 can can MD en-wikipedia-org-7018 52 9 successfully successfully RB en-wikipedia-org-7018 52 10 improve improve VB en-wikipedia-org-7018 52 11 upon upon IN en-wikipedia-org-7018 52 12 the the DT en-wikipedia-org-7018 52 13 market market NN en-wikipedia-org-7018 52 14 outcome outcome NN en-wikipedia-org-7018 52 15 , , , en-wikipedia-org-7018 52 16 then then RB en-wikipedia-org-7018 52 17 that that DT en-wikipedia-org-7018 52 18 outcome outcome NN en-wikipedia-org-7018 52 19 is be VBZ en-wikipedia-org-7018 52 20 said say VBN en-wikipedia-org-7018 52 21 to to TO en-wikipedia-org-7018 52 22 be be VB en-wikipedia-org-7018 52 23 " " `` en-wikipedia-org-7018 52 24 constrained constrain VBN en-wikipedia-org-7018 52 25 Pareto Pareto NNP en-wikipedia-org-7018 52 26 - - HYPH en-wikipedia-org-7018 52 27 optimal optimal NNP en-wikipedia-org-7018 52 28 " " '' en-wikipedia-org-7018 52 29 . . . en-wikipedia-org-7018 53 1 Fractional fractional JJ en-wikipedia-org-7018 53 2 Pareto Pareto NNP en-wikipedia-org-7018 53 3 efficiency[edit efficiency[edit , en-wikipedia-org-7018 53 4 ] ] -RRB- en-wikipedia-org-7018 53 5 Fractional Fractional NNP en-wikipedia-org-7018 53 6 Pareto Pareto NNP en-wikipedia-org-7018 53 7 optimality optimality NN en-wikipedia-org-7018 53 8 is be VBZ en-wikipedia-org-7018 53 9 a a DT en-wikipedia-org-7018 53 10 strengthening strengthening NN en-wikipedia-org-7018 53 11 of of IN en-wikipedia-org-7018 53 12 Pareto Pareto NNP en-wikipedia-org-7018 53 13 - - HYPH en-wikipedia-org-7018 53 14 optimality optimality NN en-wikipedia-org-7018 53 15 in in IN en-wikipedia-org-7018 53 16 the the DT en-wikipedia-org-7018 53 17 context context NN en-wikipedia-org-7018 53 18 of of IN en-wikipedia-org-7018 53 19 fair fair JJ en-wikipedia-org-7018 53 20 item item NN en-wikipedia-org-7018 53 21 allocation allocation NN en-wikipedia-org-7018 53 22 . . . en-wikipedia-org-7018 54 1 An an DT en-wikipedia-org-7018 54 2 allocation allocation NN en-wikipedia-org-7018 54 3 of of IN en-wikipedia-org-7018 54 4 indivisible indivisible JJ en-wikipedia-org-7018 54 5 items item NNS en-wikipedia-org-7018 54 6 is be VBZ en-wikipedia-org-7018 54 7 fractionally fractionally RB en-wikipedia-org-7018 54 8 Pareto Pareto NNP en-wikipedia-org-7018 54 9 - - HYPH en-wikipedia-org-7018 54 10 optimal optimal NNP en-wikipedia-org-7018 54 11 ( ( -LRB- en-wikipedia-org-7018 54 12 fPO fpo NN en-wikipedia-org-7018 54 13 ) ) -RRB- en-wikipedia-org-7018 54 14 if if IN en-wikipedia-org-7018 54 15 it -PRON- PRP en-wikipedia-org-7018 54 16 is be VBZ en-wikipedia-org-7018 54 17 not not RB en-wikipedia-org-7018 54 18 Pareto Pareto NNP en-wikipedia-org-7018 54 19 - - HYPH en-wikipedia-org-7018 54 20 dominated dominate VBN en-wikipedia-org-7018 54 21 even even RB en-wikipedia-org-7018 54 22 by by IN en-wikipedia-org-7018 54 23 an an DT en-wikipedia-org-7018 54 24 allocation allocation NN en-wikipedia-org-7018 54 25 in in IN en-wikipedia-org-7018 54 26 which which WDT en-wikipedia-org-7018 54 27 some some DT en-wikipedia-org-7018 54 28 items item NNS en-wikipedia-org-7018 54 29 are be VBP en-wikipedia-org-7018 54 30 split split VBN en-wikipedia-org-7018 54 31 between between IN en-wikipedia-org-7018 54 32 agents agent NNS en-wikipedia-org-7018 54 33 . . . en-wikipedia-org-7018 55 1 This this DT en-wikipedia-org-7018 55 2 is be VBZ en-wikipedia-org-7018 55 3 in in IN en-wikipedia-org-7018 55 4 contrast contrast NN en-wikipedia-org-7018 55 5 to to IN en-wikipedia-org-7018 55 6 standard standard JJ en-wikipedia-org-7018 55 7 Pareto Pareto NNP en-wikipedia-org-7018 55 8 - - HYPH en-wikipedia-org-7018 55 9 optimality optimality NN en-wikipedia-org-7018 55 10 , , , en-wikipedia-org-7018 55 11 which which WDT en-wikipedia-org-7018 55 12 only only RB en-wikipedia-org-7018 55 13 considers consider VBZ en-wikipedia-org-7018 55 14 domination domination NN en-wikipedia-org-7018 55 15 by by IN en-wikipedia-org-7018 55 16 feasible feasible JJ en-wikipedia-org-7018 55 17 ( ( -LRB- en-wikipedia-org-7018 55 18 discrete discrete JJ en-wikipedia-org-7018 55 19 ) ) -RRB- en-wikipedia-org-7018 55 20 allocations allocation NNS en-wikipedia-org-7018 55 21 . . . en-wikipedia-org-7018 56 1 [ [ -LRB- en-wikipedia-org-7018 56 2 10 10 CD en-wikipedia-org-7018 56 3 ] ] -RRB- en-wikipedia-org-7018 56 4 As as IN en-wikipedia-org-7018 56 5 an an DT en-wikipedia-org-7018 56 6 example example NN en-wikipedia-org-7018 56 7 , , , en-wikipedia-org-7018 56 8 consider consider VB en-wikipedia-org-7018 56 9 an an DT en-wikipedia-org-7018 56 10 item item NN en-wikipedia-org-7018 56 11 allocation allocation NN en-wikipedia-org-7018 56 12 problem problem NN en-wikipedia-org-7018 56 13 with with IN en-wikipedia-org-7018 56 14 two two CD en-wikipedia-org-7018 56 15 items item NNS en-wikipedia-org-7018 56 16 , , , en-wikipedia-org-7018 56 17 which which WDT en-wikipedia-org-7018 56 18 Alice Alice NNP en-wikipedia-org-7018 56 19 values value NNS en-wikipedia-org-7018 56 20 at at IN en-wikipedia-org-7018 56 21 3 3 CD en-wikipedia-org-7018 56 22 , , , en-wikipedia-org-7018 56 23 2 2 CD en-wikipedia-org-7018 56 24 and and CC en-wikipedia-org-7018 56 25 George George NNP en-wikipedia-org-7018 56 26 values value NNS en-wikipedia-org-7018 56 27 at at IN en-wikipedia-org-7018 56 28 4 4 CD en-wikipedia-org-7018 56 29 , , , en-wikipedia-org-7018 56 30 1 1 CD en-wikipedia-org-7018 56 31 . . . en-wikipedia-org-7018 57 1 Consider consider VB en-wikipedia-org-7018 57 2 the the DT en-wikipedia-org-7018 57 3 allocation allocation NN en-wikipedia-org-7018 57 4 giving give VBG en-wikipedia-org-7018 57 5 the the DT en-wikipedia-org-7018 57 6 first first JJ en-wikipedia-org-7018 57 7 item item NN en-wikipedia-org-7018 57 8 to to IN en-wikipedia-org-7018 57 9 Alice Alice NNP en-wikipedia-org-7018 57 10 and and CC en-wikipedia-org-7018 57 11 the the DT en-wikipedia-org-7018 57 12 second second JJ en-wikipedia-org-7018 57 13 to to IN en-wikipedia-org-7018 57 14 George George NNP en-wikipedia-org-7018 57 15 , , , en-wikipedia-org-7018 57 16 where where WRB en-wikipedia-org-7018 57 17 the the DT en-wikipedia-org-7018 57 18 utility utility NN en-wikipedia-org-7018 57 19 profile profile NN en-wikipedia-org-7018 57 20 is be VBZ en-wikipedia-org-7018 57 21 ( ( -LRB- en-wikipedia-org-7018 57 22 3,1 3,1 CD en-wikipedia-org-7018 57 23 ) ) -RRB- en-wikipedia-org-7018 57 24 : : : en-wikipedia-org-7018 57 25 It -PRON- PRP en-wikipedia-org-7018 57 26 is be VBZ en-wikipedia-org-7018 57 27 Pareto Pareto NNP en-wikipedia-org-7018 57 28 - - HYPH en-wikipedia-org-7018 57 29 optimal optimal NNP en-wikipedia-org-7018 57 30 , , , en-wikipedia-org-7018 57 31 since since IN en-wikipedia-org-7018 57 32 any any DT en-wikipedia-org-7018 57 33 other other JJ en-wikipedia-org-7018 57 34 discrete discrete JJ en-wikipedia-org-7018 57 35 allocation allocation NN en-wikipedia-org-7018 57 36 ( ( -LRB- en-wikipedia-org-7018 57 37 without without IN en-wikipedia-org-7018 57 38 splitting splitting NN en-wikipedia-org-7018 57 39 items item NNS en-wikipedia-org-7018 57 40 ) ) -RRB- en-wikipedia-org-7018 57 41 makes make VBZ en-wikipedia-org-7018 57 42 someone someone NN en-wikipedia-org-7018 57 43 worse bad JJR en-wikipedia-org-7018 57 44 - - HYPH en-wikipedia-org-7018 57 45 off off RP en-wikipedia-org-7018 57 46 . . . en-wikipedia-org-7018 58 1 However however RB en-wikipedia-org-7018 58 2 , , , en-wikipedia-org-7018 58 3 it -PRON- PRP en-wikipedia-org-7018 58 4 is be VBZ en-wikipedia-org-7018 58 5 not not RB en-wikipedia-org-7018 58 6 fractionally fractionally RB en-wikipedia-org-7018 58 7 - - HYPH en-wikipedia-org-7018 58 8 Pareto Pareto NNP en-wikipedia-org-7018 58 9 - - HYPH en-wikipedia-org-7018 58 10 optimal optimal NNP en-wikipedia-org-7018 58 11 , , , en-wikipedia-org-7018 58 12 since since IN en-wikipedia-org-7018 58 13 it -PRON- PRP en-wikipedia-org-7018 58 14 is be VBZ en-wikipedia-org-7018 58 15 Pareto Pareto NNP en-wikipedia-org-7018 58 16 - - HYPH en-wikipedia-org-7018 58 17 dominated dominate VBN en-wikipedia-org-7018 58 18 by by IN en-wikipedia-org-7018 58 19 the the DT en-wikipedia-org-7018 58 20 allocation allocation NN en-wikipedia-org-7018 58 21 giving give VBG en-wikipedia-org-7018 58 22 to to IN en-wikipedia-org-7018 58 23 Alice Alice NNP en-wikipedia-org-7018 58 24 1/2 1/2 CD en-wikipedia-org-7018 58 25 of of IN en-wikipedia-org-7018 58 26 the the DT en-wikipedia-org-7018 58 27 first first JJ en-wikipedia-org-7018 58 28 item item NN en-wikipedia-org-7018 58 29 and and CC en-wikipedia-org-7018 58 30 the the DT en-wikipedia-org-7018 58 31 whole whole JJ en-wikipedia-org-7018 58 32 second second JJ en-wikipedia-org-7018 58 33 item item NN en-wikipedia-org-7018 58 34 , , , en-wikipedia-org-7018 58 35 and and CC en-wikipedia-org-7018 58 36 the the DT en-wikipedia-org-7018 58 37 other other JJ en-wikipedia-org-7018 58 38 1/2 1/2 CD en-wikipedia-org-7018 58 39 of of IN en-wikipedia-org-7018 58 40 the the DT en-wikipedia-org-7018 58 41 first first JJ en-wikipedia-org-7018 58 42 item item NN en-wikipedia-org-7018 58 43 to to IN en-wikipedia-org-7018 58 44 George George NNP en-wikipedia-org-7018 58 45 - - : en-wikipedia-org-7018 58 46 its -PRON- PRP$ en-wikipedia-org-7018 58 47 utility utility NN en-wikipedia-org-7018 58 48 profile profile NN en-wikipedia-org-7018 58 49 is be VBZ en-wikipedia-org-7018 58 50 ( ( -LRB- en-wikipedia-org-7018 58 51 3.5 3.5 CD en-wikipedia-org-7018 58 52 , , , en-wikipedia-org-7018 58 53 2 2 CD en-wikipedia-org-7018 58 54 ) ) -RRB- en-wikipedia-org-7018 58 55 . . . en-wikipedia-org-7018 59 1 Pareto pareto JJ en-wikipedia-org-7018 59 2 - - HYPH en-wikipedia-org-7018 59 3 efficiency efficiency NN en-wikipedia-org-7018 59 4 and and CC en-wikipedia-org-7018 59 5 welfare welfare NN en-wikipedia-org-7018 59 6 - - HYPH en-wikipedia-org-7018 59 7 maximization[edit maximization[edit LS en-wikipedia-org-7018 59 8 ] ] -RRB- en-wikipedia-org-7018 59 9 See see VB en-wikipedia-org-7018 59 10 also also RB en-wikipedia-org-7018 59 11 : : : en-wikipedia-org-7018 59 12 Pareto Pareto NNP en-wikipedia-org-7018 59 13 - - HYPH en-wikipedia-org-7018 59 14 efficient efficient JJ en-wikipedia-org-7018 59 15 envy envy NN en-wikipedia-org-7018 59 16 - - HYPH en-wikipedia-org-7018 59 17 free free JJ en-wikipedia-org-7018 59 18 division division NN en-wikipedia-org-7018 59 19 Suppose suppose VB en-wikipedia-org-7018 59 20 each each DT en-wikipedia-org-7018 59 21 agent agent NN en-wikipedia-org-7018 59 22 i i PRP en-wikipedia-org-7018 59 23 is be VBZ en-wikipedia-org-7018 59 24 assigned assign VBN en-wikipedia-org-7018 59 25 a a DT en-wikipedia-org-7018 59 26 positive positive JJ en-wikipedia-org-7018 59 27 weight weight NN en-wikipedia-org-7018 59 28 ai ai VB en-wikipedia-org-7018 59 29 . . . en-wikipedia-org-7018 60 1 For for IN en-wikipedia-org-7018 60 2 every every DT en-wikipedia-org-7018 60 3 allocation allocation NN en-wikipedia-org-7018 60 4 x x NNS en-wikipedia-org-7018 60 5 , , , en-wikipedia-org-7018 60 6 define define VB en-wikipedia-org-7018 60 7 the the DT en-wikipedia-org-7018 60 8 welfare welfare NN en-wikipedia-org-7018 60 9 of of IN en-wikipedia-org-7018 60 10 x x NNP en-wikipedia-org-7018 60 11 as as IN en-wikipedia-org-7018 60 12 the the DT en-wikipedia-org-7018 60 13 weighted weighted JJ en-wikipedia-org-7018 60 14 sum sum NN en-wikipedia-org-7018 60 15 of of IN en-wikipedia-org-7018 60 16 utilities utility NNS en-wikipedia-org-7018 60 17 of of IN en-wikipedia-org-7018 60 18 all all DT en-wikipedia-org-7018 60 19 agents agent NNS en-wikipedia-org-7018 60 20 in in IN en-wikipedia-org-7018 60 21 x x NNP en-wikipedia-org-7018 60 22 , , , en-wikipedia-org-7018 60 23 i.e. i.e. FW en-wikipedia-org-7018 61 1 : : : en-wikipedia-org-7018 61 2 W w NN en-wikipedia-org-7018 61 3 a a NN en-wikipedia-org-7018 61 4 ( ( -LRB- en-wikipedia-org-7018 61 5 x x NN en-wikipedia-org-7018 61 6 ) ) -RRB- en-wikipedia-org-7018 61 7 : : : en-wikipedia-org-7018 61 8 = = NFP en-wikipedia-org-7018 61 9 ∑ ∑ . en-wikipedia-org-7018 61 10 i i NN en-wikipedia-org-7018 61 11 = = SYM en-wikipedia-org-7018 61 12 1 1 CD en-wikipedia-org-7018 61 13 n n CC en-wikipedia-org-7018 61 14 a a DT en-wikipedia-org-7018 61 15 i i NN en-wikipedia-org-7018 61 16 u u NN en-wikipedia-org-7018 61 17 i i NN en-wikipedia-org-7018 61 18 ( ( -LRB- en-wikipedia-org-7018 61 19 x x SYM en-wikipedia-org-7018 61 20 ) ) -RRB- en-wikipedia-org-7018 61 21 { { -LRB- en-wikipedia-org-7018 61 22 \displaystyle \displaystyle CD en-wikipedia-org-7018 61 23 W_{a}(x):=\sum W_{a}(x):=\sum NNP en-wikipedia-org-7018 61 24 _ _ NNP en-wikipedia-org-7018 61 25 { { -LRB- en-wikipedia-org-7018 61 26 i=1}^{n}a_{i}u_{i}(x i=1}^{n}a_{i}u_{i}(x NNP en-wikipedia-org-7018 61 27 ) ) -RRB- en-wikipedia-org-7018 61 28 } } -RRB- en-wikipedia-org-7018 61 29 . . . en-wikipedia-org-7018 62 1 Let let VB en-wikipedia-org-7018 62 2 xa xa NNP en-wikipedia-org-7018 62 3 be be VB en-wikipedia-org-7018 62 4 an an DT en-wikipedia-org-7018 62 5 allocation allocation NN en-wikipedia-org-7018 62 6 that that WDT en-wikipedia-org-7018 62 7 maximizes maximize VBZ en-wikipedia-org-7018 62 8 the the DT en-wikipedia-org-7018 62 9 welfare welfare NN en-wikipedia-org-7018 62 10 over over IN en-wikipedia-org-7018 62 11 all all DT en-wikipedia-org-7018 62 12 allocations allocation NNS en-wikipedia-org-7018 62 13 , , , en-wikipedia-org-7018 62 14 i.e. i.e. FW en-wikipedia-org-7018 63 1 : : : en-wikipedia-org-7018 63 2 x x LS en-wikipedia-org-7018 63 3 a a DT en-wikipedia-org-7018 63 4 ∈ ∈ JJ en-wikipedia-org-7018 63 5 arg arg NN en-wikipedia-org-7018 63 6 ⁡ ⁡ CD en-wikipedia-org-7018 63 7 max max NN en-wikipedia-org-7018 63 8 x x SYM en-wikipedia-org-7018 63 9 W w NN en-wikipedia-org-7018 63 10 a a NN en-wikipedia-org-7018 63 11 ( ( -LRB- en-wikipedia-org-7018 63 12 x x NN en-wikipedia-org-7018 63 13 ) ) -RRB- en-wikipedia-org-7018 63 14 { { -LRB- en-wikipedia-org-7018 63 15 \displaystyle \displaystyle CD en-wikipedia-org-7018 63 16 x_{a}\in x_{a}\in NNP en-wikipedia-org-7018 63 17 \arg \arg CD en-wikipedia-org-7018 63 18 \max \max NNP en-wikipedia-org-7018 63 19 _ _ NNP en-wikipedia-org-7018 63 20 { { -LRB- en-wikipedia-org-7018 63 21 x}W_{a}(x x}W_{a}(x NNP en-wikipedia-org-7018 63 22 ) ) -RRB- en-wikipedia-org-7018 63 23 } } -RRB- en-wikipedia-org-7018 63 24 . . . en-wikipedia-org-7018 64 1 It -PRON- PRP en-wikipedia-org-7018 64 2 is be VBZ en-wikipedia-org-7018 64 3 easy easy JJ en-wikipedia-org-7018 64 4 to to TO en-wikipedia-org-7018 64 5 show show VB en-wikipedia-org-7018 64 6 that that IN en-wikipedia-org-7018 64 7 the the DT en-wikipedia-org-7018 64 8 allocation allocation NN en-wikipedia-org-7018 64 9 xa xa NN en-wikipedia-org-7018 64 10 is be VBZ en-wikipedia-org-7018 64 11 Pareto Pareto NNP en-wikipedia-org-7018 64 12 - - HYPH en-wikipedia-org-7018 64 13 efficient efficient JJ en-wikipedia-org-7018 64 14 : : : en-wikipedia-org-7018 64 15 since since IN en-wikipedia-org-7018 64 16 all all DT en-wikipedia-org-7018 64 17 weights weight NNS en-wikipedia-org-7018 64 18 are be VBP en-wikipedia-org-7018 64 19 positive positive JJ en-wikipedia-org-7018 64 20 , , , en-wikipedia-org-7018 64 21 any any DT en-wikipedia-org-7018 64 22 Pareto Pareto NNP en-wikipedia-org-7018 64 23 - - HYPH en-wikipedia-org-7018 64 24 improvement improvement NN en-wikipedia-org-7018 64 25 would would MD en-wikipedia-org-7018 64 26 increase increase VB en-wikipedia-org-7018 64 27 the the DT en-wikipedia-org-7018 64 28 sum sum NN en-wikipedia-org-7018 64 29 , , , en-wikipedia-org-7018 64 30 contradicting contradict VBG en-wikipedia-org-7018 64 31 the the DT en-wikipedia-org-7018 64 32 definition definition NN en-wikipedia-org-7018 64 33 of of IN en-wikipedia-org-7018 64 34 xa xa NNP en-wikipedia-org-7018 64 35 . . . en-wikipedia-org-7018 65 1 Japanese japanese JJ en-wikipedia-org-7018 65 2 neo neo NN en-wikipedia-org-7018 65 3 - - HYPH en-wikipedia-org-7018 65 4 Walrasian walrasian JJ en-wikipedia-org-7018 65 5 economist economist NN en-wikipedia-org-7018 65 6 Takashi Takashi NNP en-wikipedia-org-7018 65 7 Negishi Negishi NNP en-wikipedia-org-7018 65 8 proved[11 proved[11 NNP en-wikipedia-org-7018 65 9 ] ] -RRB- en-wikipedia-org-7018 65 10 that that IN en-wikipedia-org-7018 65 11 , , , en-wikipedia-org-7018 65 12 under under IN en-wikipedia-org-7018 65 13 certain certain JJ en-wikipedia-org-7018 65 14 assumptions assumption NNS en-wikipedia-org-7018 65 15 , , , en-wikipedia-org-7018 65 16 the the DT en-wikipedia-org-7018 65 17 opposite opposite NN en-wikipedia-org-7018 65 18 is be VBZ en-wikipedia-org-7018 65 19 also also RB en-wikipedia-org-7018 65 20 true true JJ en-wikipedia-org-7018 65 21 : : : en-wikipedia-org-7018 65 22 for for IN en-wikipedia-org-7018 65 23 every every DT en-wikipedia-org-7018 65 24 Pareto Pareto NNP en-wikipedia-org-7018 65 25 - - HYPH en-wikipedia-org-7018 65 26 efficient efficient JJ en-wikipedia-org-7018 65 27 allocation allocation NN en-wikipedia-org-7018 65 28 x x NNS en-wikipedia-org-7018 65 29 , , , en-wikipedia-org-7018 65 30 there there EX en-wikipedia-org-7018 65 31 exists exist VBZ en-wikipedia-org-7018 65 32 a a DT en-wikipedia-org-7018 65 33 positive positive JJ en-wikipedia-org-7018 65 34 vector vector NN en-wikipedia-org-7018 65 35 a a DT en-wikipedia-org-7018 65 36 such such JJ en-wikipedia-org-7018 65 37 that that IN en-wikipedia-org-7018 65 38 x x LS en-wikipedia-org-7018 65 39 maximizes maximizes NNP en-wikipedia-org-7018 65 40 Wa Wa NNP en-wikipedia-org-7018 65 41 . . . en-wikipedia-org-7018 66 1 A a DT en-wikipedia-org-7018 66 2 shorter short JJR en-wikipedia-org-7018 66 3 proof proof NN en-wikipedia-org-7018 66 4 is be VBZ en-wikipedia-org-7018 66 5 provided provide VBN en-wikipedia-org-7018 66 6 by by IN en-wikipedia-org-7018 66 7 Hal Hal NNP en-wikipedia-org-7018 66 8 Varian Varian NNP en-wikipedia-org-7018 66 9 . . . en-wikipedia-org-7018 67 1 [ [ -LRB- en-wikipedia-org-7018 67 2 12 12 CD en-wikipedia-org-7018 67 3 ] ] -RRB- en-wikipedia-org-7018 67 4 Use Use NNP en-wikipedia-org-7018 67 5 in in IN en-wikipedia-org-7018 67 6 engineering[edit engineering[edit LS en-wikipedia-org-7018 67 7 ] ] -RRB- en-wikipedia-org-7018 67 8 The the DT en-wikipedia-org-7018 67 9 notion notion NN en-wikipedia-org-7018 67 10 of of IN en-wikipedia-org-7018 67 11 Pareto Pareto NNP en-wikipedia-org-7018 67 12 efficiency efficiency NN en-wikipedia-org-7018 67 13 has have VBZ en-wikipedia-org-7018 67 14 been be VBN en-wikipedia-org-7018 67 15 used use VBN en-wikipedia-org-7018 67 16 in in IN en-wikipedia-org-7018 67 17 engineering engineering NN en-wikipedia-org-7018 67 18 . . . en-wikipedia-org-7018 68 1 [ [ -LRB- en-wikipedia-org-7018 68 2 13]:111–148 13]:111–148 CD en-wikipedia-org-7018 68 3 Given give VBN en-wikipedia-org-7018 68 4 a a DT en-wikipedia-org-7018 68 5 set set NN en-wikipedia-org-7018 68 6 of of IN en-wikipedia-org-7018 68 7 choices choice NNS en-wikipedia-org-7018 68 8 and and CC en-wikipedia-org-7018 68 9 a a DT en-wikipedia-org-7018 68 10 way way NN en-wikipedia-org-7018 68 11 of of IN en-wikipedia-org-7018 68 12 valuing value VBG en-wikipedia-org-7018 68 13 them -PRON- PRP en-wikipedia-org-7018 68 14 , , , en-wikipedia-org-7018 68 15 the the DT en-wikipedia-org-7018 68 16 Pareto Pareto NNP en-wikipedia-org-7018 68 17 frontier frontier NN en-wikipedia-org-7018 68 18 or or CC en-wikipedia-org-7018 68 19 Pareto Pareto NNP en-wikipedia-org-7018 68 20 set set NN en-wikipedia-org-7018 68 21 or or CC en-wikipedia-org-7018 68 22 Pareto Pareto NNP en-wikipedia-org-7018 68 23 front front NN en-wikipedia-org-7018 68 24 is be VBZ en-wikipedia-org-7018 68 25 the the DT en-wikipedia-org-7018 68 26 set set NN en-wikipedia-org-7018 68 27 of of IN en-wikipedia-org-7018 68 28 choices choice NNS en-wikipedia-org-7018 68 29 that that WDT en-wikipedia-org-7018 68 30 are be VBP en-wikipedia-org-7018 68 31 Pareto Pareto NNP en-wikipedia-org-7018 68 32 efficient efficient JJ en-wikipedia-org-7018 68 33 . . . en-wikipedia-org-7018 69 1 By by IN en-wikipedia-org-7018 69 2 restricting restrict VBG en-wikipedia-org-7018 69 3 attention attention NN en-wikipedia-org-7018 69 4 to to IN en-wikipedia-org-7018 69 5 the the DT en-wikipedia-org-7018 69 6 set set NN en-wikipedia-org-7018 69 7 of of IN en-wikipedia-org-7018 69 8 choices choice NNS en-wikipedia-org-7018 69 9 that that WDT en-wikipedia-org-7018 69 10 are be VBP en-wikipedia-org-7018 69 11 Pareto Pareto NNP en-wikipedia-org-7018 69 12 - - HYPH en-wikipedia-org-7018 69 13 efficient efficient JJ en-wikipedia-org-7018 69 14 , , , en-wikipedia-org-7018 69 15 a a DT en-wikipedia-org-7018 69 16 designer designer NN en-wikipedia-org-7018 69 17 can can MD en-wikipedia-org-7018 69 18 make make VB en-wikipedia-org-7018 69 19 tradeoffs tradeoff NNS en-wikipedia-org-7018 69 20 within within IN en-wikipedia-org-7018 69 21 this this DT en-wikipedia-org-7018 69 22 set set NN en-wikipedia-org-7018 69 23 , , , en-wikipedia-org-7018 69 24 rather rather RB en-wikipedia-org-7018 69 25 than than IN en-wikipedia-org-7018 69 26 considering consider VBG en-wikipedia-org-7018 69 27 the the DT en-wikipedia-org-7018 69 28 full full JJ en-wikipedia-org-7018 69 29 range range NN en-wikipedia-org-7018 69 30 of of IN en-wikipedia-org-7018 69 31 every every DT en-wikipedia-org-7018 69 32 parameter parameter NN en-wikipedia-org-7018 69 33 . . . en-wikipedia-org-7018 70 1 [ [ -LRB- en-wikipedia-org-7018 70 2 14]:63–65 14]:63–65 CD en-wikipedia-org-7018 70 3 Example example NN en-wikipedia-org-7018 70 4 of of IN en-wikipedia-org-7018 70 5 a a DT en-wikipedia-org-7018 70 6 Pareto Pareto NNP en-wikipedia-org-7018 70 7 frontier frontier NN en-wikipedia-org-7018 70 8 . . . en-wikipedia-org-7018 71 1 The the DT en-wikipedia-org-7018 71 2 boxed boxed JJ en-wikipedia-org-7018 71 3 points point NNS en-wikipedia-org-7018 71 4 represent represent VBP en-wikipedia-org-7018 71 5 feasible feasible JJ en-wikipedia-org-7018 71 6 choices choice NNS en-wikipedia-org-7018 71 7 , , , en-wikipedia-org-7018 71 8 and and CC en-wikipedia-org-7018 71 9 smaller small JJR en-wikipedia-org-7018 71 10 values value NNS en-wikipedia-org-7018 71 11 are be VBP en-wikipedia-org-7018 71 12 preferred prefer VBN en-wikipedia-org-7018 71 13 to to IN en-wikipedia-org-7018 71 14 larger large JJR en-wikipedia-org-7018 71 15 ones one NNS en-wikipedia-org-7018 71 16 . . . en-wikipedia-org-7018 72 1 Point Point NNP en-wikipedia-org-7018 72 2 C C NNP en-wikipedia-org-7018 72 3 is be VBZ en-wikipedia-org-7018 72 4 not not RB en-wikipedia-org-7018 72 5 on on IN en-wikipedia-org-7018 72 6 the the DT en-wikipedia-org-7018 72 7 Pareto Pareto NNP en-wikipedia-org-7018 72 8 frontier frontier NN en-wikipedia-org-7018 72 9 because because IN en-wikipedia-org-7018 72 10 it -PRON- PRP en-wikipedia-org-7018 72 11 is be VBZ en-wikipedia-org-7018 72 12 dominated dominate VBN en-wikipedia-org-7018 72 13 by by IN en-wikipedia-org-7018 72 14 both both DT en-wikipedia-org-7018 72 15 point point NN en-wikipedia-org-7018 72 16 A a NN en-wikipedia-org-7018 72 17 and and CC en-wikipedia-org-7018 72 18 point point NN en-wikipedia-org-7018 72 19 B. B. NNP en-wikipedia-org-7018 73 1 Points Points NNP en-wikipedia-org-7018 73 2 A A NNP en-wikipedia-org-7018 73 3 and and CC en-wikipedia-org-7018 73 4 B b NN en-wikipedia-org-7018 73 5 are be VBP en-wikipedia-org-7018 73 6 not not RB en-wikipedia-org-7018 73 7 strictly strictly RB en-wikipedia-org-7018 73 8 dominated dominate VBN en-wikipedia-org-7018 73 9 by by IN en-wikipedia-org-7018 73 10 any any DT en-wikipedia-org-7018 73 11 other other JJ en-wikipedia-org-7018 73 12 , , , en-wikipedia-org-7018 73 13 and and CC en-wikipedia-org-7018 73 14 hence hence RB en-wikipedia-org-7018 73 15 lie lie VB en-wikipedia-org-7018 73 16 on on IN en-wikipedia-org-7018 73 17 the the DT en-wikipedia-org-7018 73 18 frontier frontier NN en-wikipedia-org-7018 73 19 . . . en-wikipedia-org-7018 74 1 A a DT en-wikipedia-org-7018 74 2 production production NN en-wikipedia-org-7018 74 3 - - HYPH en-wikipedia-org-7018 74 4 possibility possibility NN en-wikipedia-org-7018 74 5 frontier frontier NN en-wikipedia-org-7018 74 6 . . . en-wikipedia-org-7018 75 1 The the DT en-wikipedia-org-7018 75 2 red red JJ en-wikipedia-org-7018 75 3 line line NN en-wikipedia-org-7018 75 4 is be VBZ en-wikipedia-org-7018 75 5 an an DT en-wikipedia-org-7018 75 6 example example NN en-wikipedia-org-7018 75 7 of of IN en-wikipedia-org-7018 75 8 a a DT en-wikipedia-org-7018 75 9 Pareto Pareto NNP en-wikipedia-org-7018 75 10 - - HYPH en-wikipedia-org-7018 75 11 efficient efficient JJ en-wikipedia-org-7018 75 12 frontier frontier NN en-wikipedia-org-7018 75 13 , , , en-wikipedia-org-7018 75 14 where where WRB en-wikipedia-org-7018 75 15 the the DT en-wikipedia-org-7018 75 16 frontier frontier NN en-wikipedia-org-7018 75 17 and and CC en-wikipedia-org-7018 75 18 the the DT en-wikipedia-org-7018 75 19 area area NN en-wikipedia-org-7018 75 20 left leave VBD en-wikipedia-org-7018 75 21 and and CC en-wikipedia-org-7018 75 22 below below IN en-wikipedia-org-7018 75 23 it -PRON- PRP en-wikipedia-org-7018 75 24 are be VBP en-wikipedia-org-7018 75 25 a a DT en-wikipedia-org-7018 75 26 continuous continuous JJ en-wikipedia-org-7018 75 27 set set NN en-wikipedia-org-7018 75 28 of of IN en-wikipedia-org-7018 75 29 choices choice NNS en-wikipedia-org-7018 75 30 . . . en-wikipedia-org-7018 76 1 The the DT en-wikipedia-org-7018 76 2 red red JJ en-wikipedia-org-7018 76 3 points point NNS en-wikipedia-org-7018 76 4 on on IN en-wikipedia-org-7018 76 5 the the DT en-wikipedia-org-7018 76 6 frontier frontier NN en-wikipedia-org-7018 76 7 are be VBP en-wikipedia-org-7018 76 8 examples example NNS en-wikipedia-org-7018 76 9 of of IN en-wikipedia-org-7018 76 10 Pareto Pareto NNP en-wikipedia-org-7018 76 11 - - HYPH en-wikipedia-org-7018 76 12 optimal optimal JJ en-wikipedia-org-7018 76 13 choices choice NNS en-wikipedia-org-7018 76 14 of of IN en-wikipedia-org-7018 76 15 production production NN en-wikipedia-org-7018 76 16 . . . en-wikipedia-org-7018 77 1 Points point NNS en-wikipedia-org-7018 77 2 off off IN en-wikipedia-org-7018 77 3 the the DT en-wikipedia-org-7018 77 4 frontier frontier NN en-wikipedia-org-7018 77 5 , , , en-wikipedia-org-7018 77 6 such such JJ en-wikipedia-org-7018 77 7 as as IN en-wikipedia-org-7018 77 8 N N NNP en-wikipedia-org-7018 77 9 and and CC en-wikipedia-org-7018 77 10 K K NNP en-wikipedia-org-7018 77 11 , , , en-wikipedia-org-7018 77 12 are be VBP en-wikipedia-org-7018 77 13 not not RB en-wikipedia-org-7018 77 14 Pareto Pareto NNP en-wikipedia-org-7018 77 15 - - HYPH en-wikipedia-org-7018 77 16 efficient efficient JJ en-wikipedia-org-7018 77 17 , , , en-wikipedia-org-7018 77 18 since since IN en-wikipedia-org-7018 77 19 there there EX en-wikipedia-org-7018 77 20 exist exist VBP en-wikipedia-org-7018 77 21 points point NNS en-wikipedia-org-7018 77 22 on on IN en-wikipedia-org-7018 77 23 the the DT en-wikipedia-org-7018 77 24 frontier frontier NN en-wikipedia-org-7018 77 25 which which WDT en-wikipedia-org-7018 77 26 Pareto Pareto NNP en-wikipedia-org-7018 77 27 - - HYPH en-wikipedia-org-7018 77 28 dominate dominate VB en-wikipedia-org-7018 77 29 them -PRON- PRP en-wikipedia-org-7018 77 30 . . . en-wikipedia-org-7018 78 1 Pareto Pareto NNP en-wikipedia-org-7018 78 2 frontier[edit frontier[edit LS en-wikipedia-org-7018 78 3 ] ] -RRB- en-wikipedia-org-7018 78 4 For for IN en-wikipedia-org-7018 78 5 a a DT en-wikipedia-org-7018 78 6 given give VBN en-wikipedia-org-7018 78 7 system system NN en-wikipedia-org-7018 78 8 , , , en-wikipedia-org-7018 78 9 the the DT en-wikipedia-org-7018 78 10 Pareto Pareto NNP en-wikipedia-org-7018 78 11 frontier frontier NN en-wikipedia-org-7018 78 12 or or CC en-wikipedia-org-7018 78 13 Pareto Pareto NNP en-wikipedia-org-7018 78 14 set set NN en-wikipedia-org-7018 78 15 is be VBZ en-wikipedia-org-7018 78 16 the the DT en-wikipedia-org-7018 78 17 set set NN en-wikipedia-org-7018 78 18 of of IN en-wikipedia-org-7018 78 19 parameterizations parameterization NNS en-wikipedia-org-7018 78 20 ( ( -LRB- en-wikipedia-org-7018 78 21 allocations allocation NNS en-wikipedia-org-7018 78 22 ) ) -RRB- en-wikipedia-org-7018 78 23 that that WDT en-wikipedia-org-7018 78 24 are be VBP en-wikipedia-org-7018 78 25 all all DT en-wikipedia-org-7018 78 26 Pareto Pareto NNP en-wikipedia-org-7018 78 27 efficient efficient JJ en-wikipedia-org-7018 78 28 . . . en-wikipedia-org-7018 79 1 Finding find VBG en-wikipedia-org-7018 79 2 Pareto Pareto NNP en-wikipedia-org-7018 79 3 frontiers frontier NNS en-wikipedia-org-7018 79 4 is be VBZ en-wikipedia-org-7018 79 5 particularly particularly RB en-wikipedia-org-7018 79 6 useful useful JJ en-wikipedia-org-7018 79 7 in in IN en-wikipedia-org-7018 79 8 engineering engineering NN en-wikipedia-org-7018 79 9 . . . en-wikipedia-org-7018 80 1 By by IN en-wikipedia-org-7018 80 2 yielding yield VBG en-wikipedia-org-7018 80 3 all all DT en-wikipedia-org-7018 80 4 of of IN en-wikipedia-org-7018 80 5 the the DT en-wikipedia-org-7018 80 6 potentially potentially RB en-wikipedia-org-7018 80 7 optimal optimal JJ en-wikipedia-org-7018 80 8 solutions solution NNS en-wikipedia-org-7018 80 9 , , , en-wikipedia-org-7018 80 10 a a DT en-wikipedia-org-7018 80 11 designer designer NN en-wikipedia-org-7018 80 12 can can MD en-wikipedia-org-7018 80 13 make make VB en-wikipedia-org-7018 80 14 focused focused JJ en-wikipedia-org-7018 80 15 tradeoffs tradeoff NNS en-wikipedia-org-7018 80 16 within within IN en-wikipedia-org-7018 80 17 this this DT en-wikipedia-org-7018 80 18 constrained constrained JJ en-wikipedia-org-7018 80 19 set set NN en-wikipedia-org-7018 80 20 of of IN en-wikipedia-org-7018 80 21 parameters parameter NNS en-wikipedia-org-7018 80 22 , , , en-wikipedia-org-7018 80 23 rather rather RB en-wikipedia-org-7018 80 24 than than IN en-wikipedia-org-7018 80 25 needing need VBG en-wikipedia-org-7018 80 26 to to TO en-wikipedia-org-7018 80 27 consider consider VB en-wikipedia-org-7018 80 28 the the DT en-wikipedia-org-7018 80 29 full full JJ en-wikipedia-org-7018 80 30 ranges range NNS en-wikipedia-org-7018 80 31 of of IN en-wikipedia-org-7018 80 32 parameters parameter NNS en-wikipedia-org-7018 80 33 . . . en-wikipedia-org-7018 81 1 [ [ -LRB- en-wikipedia-org-7018 81 2 15]:399–412 15]:399–412 CD en-wikipedia-org-7018 81 3 The the DT en-wikipedia-org-7018 81 4 Pareto Pareto NNP en-wikipedia-org-7018 81 5 frontier frontier NN en-wikipedia-org-7018 81 6 , , , en-wikipedia-org-7018 81 7 P(Y P(Y NNP en-wikipedia-org-7018 81 8 ) ) -RRB- en-wikipedia-org-7018 81 9 , , , en-wikipedia-org-7018 81 10 may may MD en-wikipedia-org-7018 81 11 be be VB en-wikipedia-org-7018 81 12 more more RBR en-wikipedia-org-7018 81 13 formally formally RB en-wikipedia-org-7018 81 14 described describe VBN en-wikipedia-org-7018 81 15 as as IN en-wikipedia-org-7018 81 16 follows follow VBZ en-wikipedia-org-7018 81 17 . . . en-wikipedia-org-7018 82 1 Consider consider VB en-wikipedia-org-7018 82 2 a a DT en-wikipedia-org-7018 82 3 system system NN en-wikipedia-org-7018 82 4 with with IN en-wikipedia-org-7018 82 5 function function NN en-wikipedia-org-7018 82 6 f f NNP en-wikipedia-org-7018 82 7 : : : en-wikipedia-org-7018 82 8 X x NN en-wikipedia-org-7018 82 9 → → SYM en-wikipedia-org-7018 82 10 R r NN en-wikipedia-org-7018 82 11 m m NN en-wikipedia-org-7018 82 12 { { -LRB- en-wikipedia-org-7018 82 13 \displaystyle \displaystyle CD en-wikipedia-org-7018 82 14 f f XX en-wikipedia-org-7018 82 15 : : : en-wikipedia-org-7018 82 16 X\rightarrow X\rightarrow NNP en-wikipedia-org-7018 82 17 \mathbb \mathbb CD en-wikipedia-org-7018 82 18 { { -LRB- en-wikipedia-org-7018 82 19 R r NN en-wikipedia-org-7018 82 20 } } -RRB- en-wikipedia-org-7018 82 21 ^{m ^{m NN en-wikipedia-org-7018 82 22 } } -RRB- en-wikipedia-org-7018 82 23 } } -RRB- en-wikipedia-org-7018 82 24 , , , en-wikipedia-org-7018 82 25 where where WRB en-wikipedia-org-7018 82 26 X X NNP en-wikipedia-org-7018 82 27 is be VBZ en-wikipedia-org-7018 82 28 a a DT en-wikipedia-org-7018 82 29 compact compact JJ en-wikipedia-org-7018 82 30 set set NN en-wikipedia-org-7018 82 31 of of IN en-wikipedia-org-7018 82 32 feasible feasible JJ en-wikipedia-org-7018 82 33 decisions decision NNS en-wikipedia-org-7018 82 34 in in IN en-wikipedia-org-7018 82 35 the the DT en-wikipedia-org-7018 82 36 metric metric JJ en-wikipedia-org-7018 82 37 space space NN en-wikipedia-org-7018 82 38 R r NN en-wikipedia-org-7018 82 39 n n CC en-wikipedia-org-7018 82 40 { { -LRB- en-wikipedia-org-7018 82 41 \displaystyle \displaystyle CD en-wikipedia-org-7018 82 42 \mathbb \mathbb CD en-wikipedia-org-7018 82 43 { { -LRB- en-wikipedia-org-7018 82 44 R r NN en-wikipedia-org-7018 82 45 } } -RRB- en-wikipedia-org-7018 82 46 ^{n ^{n ADD en-wikipedia-org-7018 82 47 } } -RRB- en-wikipedia-org-7018 82 48 } } -RRB- en-wikipedia-org-7018 82 49 , , , en-wikipedia-org-7018 82 50 and and CC en-wikipedia-org-7018 82 51 Y Y NNP en-wikipedia-org-7018 82 52 is be VBZ en-wikipedia-org-7018 82 53 the the DT en-wikipedia-org-7018 82 54 feasible feasible JJ en-wikipedia-org-7018 82 55 set set NN en-wikipedia-org-7018 82 56 of of IN en-wikipedia-org-7018 82 57 criterion criterion NN en-wikipedia-org-7018 82 58 vectors vector NNS en-wikipedia-org-7018 82 59 in in IN en-wikipedia-org-7018 82 60 R R NNP en-wikipedia-org-7018 82 61 m m NN en-wikipedia-org-7018 82 62 { { -LRB- en-wikipedia-org-7018 82 63 \displaystyle \displaystyle CD en-wikipedia-org-7018 82 64 \mathbb \mathbb CD en-wikipedia-org-7018 82 65 { { -LRB- en-wikipedia-org-7018 82 66 R r NN en-wikipedia-org-7018 82 67 } } -RRB- en-wikipedia-org-7018 82 68 ^{m ^{m NN en-wikipedia-org-7018 82 69 } } -RRB- en-wikipedia-org-7018 82 70 } } -RRB- en-wikipedia-org-7018 82 71 , , , en-wikipedia-org-7018 82 72 such such JJ en-wikipedia-org-7018 82 73 that that IN en-wikipedia-org-7018 82 74 Y Y NNP en-wikipedia-org-7018 82 75 = = NFP en-wikipedia-org-7018 82 76 { { -LRB- en-wikipedia-org-7018 82 77 y y NNP en-wikipedia-org-7018 82 78 ∈ ∈ NNP en-wikipedia-org-7018 82 79 R R NNP en-wikipedia-org-7018 82 80 m m NN en-wikipedia-org-7018 82 81 : : : en-wikipedia-org-7018 82 82 y y NNP en-wikipedia-org-7018 82 83 = = SYM en-wikipedia-org-7018 82 84 f f NNP en-wikipedia-org-7018 82 85 ( ( -LRB- en-wikipedia-org-7018 82 86 x x NNP en-wikipedia-org-7018 82 87 ) ) -RRB- en-wikipedia-org-7018 82 88 , , , en-wikipedia-org-7018 82 89 x x LS en-wikipedia-org-7018 82 90 ∈ ∈ NNP en-wikipedia-org-7018 82 91 X x NN en-wikipedia-org-7018 82 92 } } -RRB- en-wikipedia-org-7018 82 93 { { -LRB- en-wikipedia-org-7018 82 94 \displaystyle \displaystyle CD en-wikipedia-org-7018 82 95 Y=\{y\in Y=\{y\in NNP en-wikipedia-org-7018 82 96 \mathbb \mathbb CD en-wikipedia-org-7018 82 97 { { -LRB- en-wikipedia-org-7018 82 98 R r NN en-wikipedia-org-7018 82 99 } } -RRB- en-wikipedia-org-7018 82 100 ^{m}:\;y ^{m}:\;y NNP en-wikipedia-org-7018 82 101 = = NFP en-wikipedia-org-7018 82 102 f(x),x\in f(x),x\in NNP en-wikipedia-org-7018 82 103 X\;\ X\;\ NNP en-wikipedia-org-7018 82 104 } } -RRB- en-wikipedia-org-7018 82 105 } } -RRB- en-wikipedia-org-7018 82 106 . . . en-wikipedia-org-7018 83 1 We -PRON- PRP en-wikipedia-org-7018 83 2 assume assume VBP en-wikipedia-org-7018 83 3 that that IN en-wikipedia-org-7018 83 4 the the DT en-wikipedia-org-7018 83 5 preferred preferred JJ en-wikipedia-org-7018 83 6 directions direction NNS en-wikipedia-org-7018 83 7 of of IN en-wikipedia-org-7018 83 8 criteria criterion NNS en-wikipedia-org-7018 83 9 values value NNS en-wikipedia-org-7018 83 10 are be VBP en-wikipedia-org-7018 83 11 known know VBN en-wikipedia-org-7018 83 12 . . . en-wikipedia-org-7018 84 1 A a DT en-wikipedia-org-7018 84 2 point point NN en-wikipedia-org-7018 84 3 y y NN en-wikipedia-org-7018 84 4 ′ ′ CD en-wikipedia-org-7018 84 5 ′ ′ ADD en-wikipedia-org-7018 84 6 ∈ ∈ NNP en-wikipedia-org-7018 84 7 R r NN en-wikipedia-org-7018 84 8 m m NN en-wikipedia-org-7018 84 9 { { -LRB- en-wikipedia-org-7018 84 10 \displaystyle \displaystyle CD en-wikipedia-org-7018 84 11 y^{\prime y^{\prime NN en-wikipedia-org-7018 84 12 \prime \prime CD en-wikipedia-org-7018 84 13 } } -RRB- en-wikipedia-org-7018 84 14 \in \in NNP en-wikipedia-org-7018 84 15 \mathbb \mathbb CD en-wikipedia-org-7018 84 16 { { -LRB- en-wikipedia-org-7018 84 17 R r NN en-wikipedia-org-7018 84 18 } } -RRB- en-wikipedia-org-7018 84 19 ^{m ^{m NFP en-wikipedia-org-7018 84 20 } } -RRB- en-wikipedia-org-7018 84 21 } } -RRB- en-wikipedia-org-7018 84 22 is be VBZ en-wikipedia-org-7018 84 23 preferred prefer VBN en-wikipedia-org-7018 84 24 to to IN en-wikipedia-org-7018 84 25 ( ( -LRB- en-wikipedia-org-7018 84 26 strictly strictly RB en-wikipedia-org-7018 84 27 dominates dominate VBZ en-wikipedia-org-7018 84 28 ) ) -RRB- en-wikipedia-org-7018 84 29 another another DT en-wikipedia-org-7018 84 30 point point NN en-wikipedia-org-7018 84 31 y y NN en-wikipedia-org-7018 84 32 ′ ′ . en-wikipedia-org-7018 84 33 ∈ ∈ NNP en-wikipedia-org-7018 84 34 R r NN en-wikipedia-org-7018 84 35 m m NN en-wikipedia-org-7018 84 36 { { -LRB- en-wikipedia-org-7018 84 37 \displaystyle \displaystyle CD en-wikipedia-org-7018 84 38 y^{\prime y^{\prime NN en-wikipedia-org-7018 84 39 } } -RRB- en-wikipedia-org-7018 84 40 \in \in NNP en-wikipedia-org-7018 84 41 \mathbb \mathbb CD en-wikipedia-org-7018 84 42 { { -LRB- en-wikipedia-org-7018 84 43 R r NN en-wikipedia-org-7018 84 44 } } -RRB- en-wikipedia-org-7018 84 45 ^{m ^{m NN en-wikipedia-org-7018 84 46 } } -RRB- en-wikipedia-org-7018 84 47 } } -RRB- en-wikipedia-org-7018 84 48 , , , en-wikipedia-org-7018 84 49 written write VBN en-wikipedia-org-7018 84 50 as as IN en-wikipedia-org-7018 84 51 y y NNP en-wikipedia-org-7018 84 52 ′ ′ CD en-wikipedia-org-7018 84 53 ′ ′ ADD en-wikipedia-org-7018 84 54 ≻ ≻ CD en-wikipedia-org-7018 84 55 y y NNP en-wikipedia-org-7018 84 56 ′ ′ CD en-wikipedia-org-7018 84 57 { { -LRB- en-wikipedia-org-7018 84 58 \displaystyle \displaystyle CD en-wikipedia-org-7018 84 59 y^{\prime y^{\prime NN en-wikipedia-org-7018 84 60 \prime \prime CD en-wikipedia-org-7018 84 61 } } -RRB- en-wikipedia-org-7018 84 62 \succ \succ CD en-wikipedia-org-7018 84 63 y^{\prime y^{\prime NN en-wikipedia-org-7018 84 64 } } -RRB- en-wikipedia-org-7018 84 65 } } -RRB- en-wikipedia-org-7018 84 66 . . . en-wikipedia-org-7018 85 1 The the DT en-wikipedia-org-7018 85 2 Pareto Pareto NNP en-wikipedia-org-7018 85 3 frontier frontier NN en-wikipedia-org-7018 85 4 is be VBZ en-wikipedia-org-7018 85 5 thus thus RB en-wikipedia-org-7018 85 6 written write VBN en-wikipedia-org-7018 85 7 as as IN en-wikipedia-org-7018 85 8 : : : en-wikipedia-org-7018 85 9 P p NN en-wikipedia-org-7018 85 10 ( ( -LRB- en-wikipedia-org-7018 85 11 Y y NN en-wikipedia-org-7018 85 12 ) ) -RRB- en-wikipedia-org-7018 85 13 = = NFP en-wikipedia-org-7018 85 14 { { -LRB- en-wikipedia-org-7018 85 15 y y NNP en-wikipedia-org-7018 85 16 ′ ′ . en-wikipedia-org-7018 85 17 ∈ ∈ NNP en-wikipedia-org-7018 85 18 Y y NN en-wikipedia-org-7018 85 19 : : : en-wikipedia-org-7018 85 20 { { -LRB- en-wikipedia-org-7018 85 21 y y NNP en-wikipedia-org-7018 85 22 ′ ′ ADD en-wikipedia-org-7018 85 23 ′ ′ ADD en-wikipedia-org-7018 85 24 ∈ ∈ NNP en-wikipedia-org-7018 85 25 Y y NN en-wikipedia-org-7018 85 26 : : : en-wikipedia-org-7018 85 27 y y NNP en-wikipedia-org-7018 85 28 ′ ′ -RRB- en-wikipedia-org-7018 85 29 ′ ′ NNP en-wikipedia-org-7018 85 30 ≻ ≻ CD en-wikipedia-org-7018 85 31 y y NNP en-wikipedia-org-7018 85 32 ′ ′ NNP en-wikipedia-org-7018 85 33 , , , en-wikipedia-org-7018 85 34 y y NNP en-wikipedia-org-7018 85 35 ′ ′ ADD en-wikipedia-org-7018 85 36 ≠ ≠ XX en-wikipedia-org-7018 85 37 y y NNP en-wikipedia-org-7018 85 38 ′ ′ ADD en-wikipedia-org-7018 85 39 ′ ′ ADD en-wikipedia-org-7018 85 40 } } -RRB- en-wikipedia-org-7018 85 41 = = SYM en-wikipedia-org-7018 85 42 ∅ ∅ NN en-wikipedia-org-7018 85 43 } } -RRB- en-wikipedia-org-7018 85 44 . . . en-wikipedia-org-7018 86 1 { { -LRB- en-wikipedia-org-7018 86 2 \displaystyle \displaystyle CD en-wikipedia-org-7018 86 3 P(Y)=\{y^{\prime p(y)=\{y^{\prime UH en-wikipedia-org-7018 86 4 } } -RRB- en-wikipedia-org-7018 86 5 \in \in NNP en-wikipedia-org-7018 86 6 Y:\;\{y^{\prime Y:\;\{y^{\prime NNP en-wikipedia-org-7018 86 7 \prime \prime NFP en-wikipedia-org-7018 86 8 } } -RRB- en-wikipedia-org-7018 86 9 \in \in NNP en-wikipedia-org-7018 86 10 Y:\;y^{\prime y:\;y^{\prime NN en-wikipedia-org-7018 86 11 \prime \prime CD en-wikipedia-org-7018 86 12 } } -RRB- en-wikipedia-org-7018 86 13 \succ \succ CD en-wikipedia-org-7018 86 14 y^{\prime y^{\prime NN en-wikipedia-org-7018 86 15 } } -RRB- en-wikipedia-org-7018 86 16 , , , en-wikipedia-org-7018 86 17 y^{\prime y^{\prime NN en-wikipedia-org-7018 86 18 } } -RRB- en-wikipedia-org-7018 86 19 \neq \neq CD en-wikipedia-org-7018 86 20 y^{\prime y^{\prime NN en-wikipedia-org-7018 86 21 \prime \prime CD en-wikipedia-org-7018 86 22 } } -RRB- en-wikipedia-org-7018 86 23 \;\}=\emptyset \;\}=\emptyset NN en-wikipedia-org-7018 86 24 \ \ NNP en-wikipedia-org-7018 86 25 } } -RRB- en-wikipedia-org-7018 86 26 . . . en-wikipedia-org-7018 86 27 } } -RRB- en-wikipedia-org-7018 87 1 Marginal marginal JJ en-wikipedia-org-7018 87 2 rate rate NN en-wikipedia-org-7018 87 3 of of IN en-wikipedia-org-7018 87 4 substitution[edit substitution[edit LS en-wikipedia-org-7018 87 5 ] ] -RRB- en-wikipedia-org-7018 87 6 A a DT en-wikipedia-org-7018 87 7 significant significant JJ en-wikipedia-org-7018 87 8 aspect aspect NN en-wikipedia-org-7018 87 9 of of IN en-wikipedia-org-7018 87 10 the the DT en-wikipedia-org-7018 87 11 Pareto Pareto NNP en-wikipedia-org-7018 87 12 frontier frontier NN en-wikipedia-org-7018 87 13 in in IN en-wikipedia-org-7018 87 14 economics economic NNS en-wikipedia-org-7018 87 15 is be VBZ en-wikipedia-org-7018 87 16 that that IN en-wikipedia-org-7018 87 17 , , , en-wikipedia-org-7018 87 18 at at IN en-wikipedia-org-7018 87 19 a a DT en-wikipedia-org-7018 87 20 Pareto Pareto NNP en-wikipedia-org-7018 87 21 - - HYPH en-wikipedia-org-7018 87 22 efficient efficient JJ en-wikipedia-org-7018 87 23 allocation allocation NN en-wikipedia-org-7018 87 24 , , , en-wikipedia-org-7018 87 25 the the DT en-wikipedia-org-7018 87 26 marginal marginal JJ en-wikipedia-org-7018 87 27 rate rate NN en-wikipedia-org-7018 87 28 of of IN en-wikipedia-org-7018 87 29 substitution substitution NN en-wikipedia-org-7018 87 30 is be VBZ en-wikipedia-org-7018 87 31 the the DT en-wikipedia-org-7018 87 32 same same JJ en-wikipedia-org-7018 87 33 for for IN en-wikipedia-org-7018 87 34 all all DT en-wikipedia-org-7018 87 35 consumers consumer NNS en-wikipedia-org-7018 87 36 . . . en-wikipedia-org-7018 88 1 [ [ -LRB- en-wikipedia-org-7018 88 2 16 16 CD en-wikipedia-org-7018 88 3 ] ] -RRB- en-wikipedia-org-7018 88 4 A a DT en-wikipedia-org-7018 88 5 formal formal JJ en-wikipedia-org-7018 88 6 statement statement NN en-wikipedia-org-7018 88 7 can can MD en-wikipedia-org-7018 88 8 be be VB en-wikipedia-org-7018 88 9 derived derive VBN en-wikipedia-org-7018 88 10 by by IN en-wikipedia-org-7018 88 11 considering consider VBG en-wikipedia-org-7018 88 12 a a DT en-wikipedia-org-7018 88 13 system system NN en-wikipedia-org-7018 88 14 with with IN en-wikipedia-org-7018 88 15 m m NN en-wikipedia-org-7018 88 16 consumers consumer NNS en-wikipedia-org-7018 88 17 and and CC en-wikipedia-org-7018 88 18 n n CD en-wikipedia-org-7018 88 19 goods good NNS en-wikipedia-org-7018 88 20 , , , en-wikipedia-org-7018 88 21 and and CC en-wikipedia-org-7018 88 22 a a DT en-wikipedia-org-7018 88 23 utility utility NN en-wikipedia-org-7018 88 24 function function NN en-wikipedia-org-7018 88 25 of of IN en-wikipedia-org-7018 88 26 each each DT en-wikipedia-org-7018 88 27 consumer consumer NN en-wikipedia-org-7018 88 28 as as IN en-wikipedia-org-7018 88 29 z z NN en-wikipedia-org-7018 88 30 i i NN en-wikipedia-org-7018 88 31 = = SYM en-wikipedia-org-7018 88 32 f f XX en-wikipedia-org-7018 88 33 i i PRP en-wikipedia-org-7018 88 34 ( ( -LRB- en-wikipedia-org-7018 88 35 x x NNP en-wikipedia-org-7018 88 36 i i NN en-wikipedia-org-7018 88 37 ) ) -RRB- en-wikipedia-org-7018 88 38 { { -LRB- en-wikipedia-org-7018 88 39 \displaystyle \displaystyle CD en-wikipedia-org-7018 88 40 z_{i}=f^{i}(x^{i z_{i}=f^{i}(x^{i NNP en-wikipedia-org-7018 88 41 } } -RRB- en-wikipedia-org-7018 88 42 ) ) -RRB- en-wikipedia-org-7018 88 43 } } -RRB- en-wikipedia-org-7018 88 44 where where WRB en-wikipedia-org-7018 88 45 x x NN en-wikipedia-org-7018 88 46 i i NN en-wikipedia-org-7018 88 47 = = SYM en-wikipedia-org-7018 88 48 ( ( -LRB- en-wikipedia-org-7018 88 49 x x SYM en-wikipedia-org-7018 88 50 1 1 CD en-wikipedia-org-7018 88 51 i i CD en-wikipedia-org-7018 88 52 , , , en-wikipedia-org-7018 88 53 x x NNP en-wikipedia-org-7018 88 54 2 2 CD en-wikipedia-org-7018 88 55 i i PRP en-wikipedia-org-7018 88 56 , , , en-wikipedia-org-7018 88 57 … … NFP en-wikipedia-org-7018 88 58 , , , en-wikipedia-org-7018 88 59 x x SYM en-wikipedia-org-7018 88 60 n n CC en-wikipedia-org-7018 88 61 i i NN en-wikipedia-org-7018 88 62 ) ) -RRB- en-wikipedia-org-7018 88 63 { { -LRB- en-wikipedia-org-7018 88 64 \displaystyle \displaystyle CD en-wikipedia-org-7018 88 65 x^{i}=(x_{1}^{i},x_{2}^{i},\ldots x^{i}=(x_{1}^{i},x_{2}^{i},\ldot NNS en-wikipedia-org-7018 88 66 , , , en-wikipedia-org-7018 88 67 x_{n}^{i x_{n}^{i NNP en-wikipedia-org-7018 88 68 } } -RRB- en-wikipedia-org-7018 88 69 ) ) -RRB- en-wikipedia-org-7018 88 70 } } -RRB- en-wikipedia-org-7018 88 71 is be VBZ en-wikipedia-org-7018 88 72 the the DT en-wikipedia-org-7018 88 73 vector vector NN en-wikipedia-org-7018 88 74 of of IN en-wikipedia-org-7018 88 75 goods good NNS en-wikipedia-org-7018 88 76 , , , en-wikipedia-org-7018 88 77 both both CC en-wikipedia-org-7018 88 78 for for IN en-wikipedia-org-7018 88 79 all all DT en-wikipedia-org-7018 88 80 i. i. NN en-wikipedia-org-7018 89 1 The the DT en-wikipedia-org-7018 89 2 feasibility feasibility NN en-wikipedia-org-7018 89 3 constraint constraint NN en-wikipedia-org-7018 89 4 is be VBZ en-wikipedia-org-7018 89 5 ∑ ∑ . en-wikipedia-org-7018 89 6 i i NN en-wikipedia-org-7018 89 7 = = SYM en-wikipedia-org-7018 89 8 1 1 CD en-wikipedia-org-7018 89 9 m m NNP en-wikipedia-org-7018 89 10 x x NNP en-wikipedia-org-7018 89 11 j j NNP en-wikipedia-org-7018 89 12 i i NN en-wikipedia-org-7018 89 13 = = SYM en-wikipedia-org-7018 89 14 b b NNP en-wikipedia-org-7018 89 15 j j NNP en-wikipedia-org-7018 89 16 { { -LRB- en-wikipedia-org-7018 89 17 \displaystyle \displaystyle CD en-wikipedia-org-7018 89 18 \sum \sum CD en-wikipedia-org-7018 89 19 _ _ NNP en-wikipedia-org-7018 89 20 { { -LRB- en-wikipedia-org-7018 89 21 i=1}^{m}x_{j}^{i}=b_{j i=1}^{m}x_{j}^{i}=b_{j NN en-wikipedia-org-7018 89 22 } } -RRB- en-wikipedia-org-7018 89 23 } } -RRB- en-wikipedia-org-7018 89 24 for for IN en-wikipedia-org-7018 89 25 j j NNP en-wikipedia-org-7018 89 26 = = SYM en-wikipedia-org-7018 89 27 1 1 CD en-wikipedia-org-7018 89 28 , , , en-wikipedia-org-7018 89 29 … … NFP en-wikipedia-org-7018 89 30 , , , en-wikipedia-org-7018 89 31 n n CC en-wikipedia-org-7018 89 32 { { -LRB- en-wikipedia-org-7018 89 33 \displaystyle \displaystyle CD en-wikipedia-org-7018 89 34 j=1,\ldots j=1,\ldots CD en-wikipedia-org-7018 89 35 , , , en-wikipedia-org-7018 89 36 n n IN en-wikipedia-org-7018 89 37 } } -RRB- en-wikipedia-org-7018 89 38 . . . en-wikipedia-org-7018 90 1 To to TO en-wikipedia-org-7018 90 2 find find VB en-wikipedia-org-7018 90 3 the the DT en-wikipedia-org-7018 90 4 Pareto Pareto NNP en-wikipedia-org-7018 90 5 optimal optimal NN en-wikipedia-org-7018 90 6 allocation allocation NN en-wikipedia-org-7018 90 7 , , , en-wikipedia-org-7018 90 8 we -PRON- PRP en-wikipedia-org-7018 90 9 maximize maximize VBP en-wikipedia-org-7018 90 10 the the DT en-wikipedia-org-7018 90 11 Lagrangian Lagrangian NNP en-wikipedia-org-7018 90 12 : : : en-wikipedia-org-7018 90 13 L l NN en-wikipedia-org-7018 90 14 i i PRP en-wikipedia-org-7018 90 15 ( ( -LRB- en-wikipedia-org-7018 90 16 ( ( -LRB- en-wikipedia-org-7018 90 17 x x NNP en-wikipedia-org-7018 90 18 j j NNP en-wikipedia-org-7018 90 19 k k NNP en-wikipedia-org-7018 90 20 ) ) -RRB- en-wikipedia-org-7018 90 21 k k NNP en-wikipedia-org-7018 90 22 , , , en-wikipedia-org-7018 90 23 j j NNP en-wikipedia-org-7018 90 24 , , , en-wikipedia-org-7018 90 25 ( ( -LRB- en-wikipedia-org-7018 90 26 λ λ NNP en-wikipedia-org-7018 90 27 k k XX en-wikipedia-org-7018 90 28 ) ) -RRB- en-wikipedia-org-7018 90 29 k k NNP en-wikipedia-org-7018 90 30 , , , en-wikipedia-org-7018 90 31 ( ( -LRB- en-wikipedia-org-7018 90 32 μ μ NNP en-wikipedia-org-7018 90 33 j j NNP en-wikipedia-org-7018 90 34 ) ) -RRB- en-wikipedia-org-7018 90 35 j j NNP en-wikipedia-org-7018 90 36 ) ) -RRB- en-wikipedia-org-7018 90 37 = = SYM en-wikipedia-org-7018 90 38 f f NNP en-wikipedia-org-7018 90 39 i i PRP en-wikipedia-org-7018 90 40 ( ( -LRB- en-wikipedia-org-7018 90 41 x x NNP en-wikipedia-org-7018 90 42 i i NN en-wikipedia-org-7018 90 43 ) ) -RRB- en-wikipedia-org-7018 90 44 + + CC en-wikipedia-org-7018 90 45 ∑ ∑ . en-wikipedia-org-7018 90 46 k k NN en-wikipedia-org-7018 90 47 = = SYM en-wikipedia-org-7018 90 48 2 2 CD en-wikipedia-org-7018 90 49 m m NN en-wikipedia-org-7018 90 50 λ λ NNP en-wikipedia-org-7018 90 51 k k NN en-wikipedia-org-7018 90 52 ( ( -LRB- en-wikipedia-org-7018 90 53 z z NNP en-wikipedia-org-7018 90 54 k k NNP en-wikipedia-org-7018 90 55 − − NNP en-wikipedia-org-7018 90 56 f f NNP en-wikipedia-org-7018 90 57 k k NNP en-wikipedia-org-7018 90 58 ( ( -LRB- en-wikipedia-org-7018 90 59 x x NNP en-wikipedia-org-7018 90 60 k k NNP en-wikipedia-org-7018 90 61 ) ) -RRB- en-wikipedia-org-7018 90 62 ) ) -RRB- en-wikipedia-org-7018 90 63 + + NFP en-wikipedia-org-7018 90 64 ∑ ∑ . en-wikipedia-org-7018 90 65 j j NN en-wikipedia-org-7018 90 66 = = SYM en-wikipedia-org-7018 90 67 1 1 CD en-wikipedia-org-7018 90 68 n n NNP en-wikipedia-org-7018 90 69 μ μ NNP en-wikipedia-org-7018 90 70 j j NNP en-wikipedia-org-7018 90 71 ( ( -LRB- en-wikipedia-org-7018 90 72 b b NNP en-wikipedia-org-7018 90 73 j j NNP en-wikipedia-org-7018 90 74 − − NNP en-wikipedia-org-7018 90 75 ∑ ∑ . en-wikipedia-org-7018 90 76 k k NNP en-wikipedia-org-7018 90 77 = = SYM en-wikipedia-org-7018 90 78 1 1 CD en-wikipedia-org-7018 90 79 m m NNP en-wikipedia-org-7018 90 80 x x SYM en-wikipedia-org-7018 90 81 j j NNP en-wikipedia-org-7018 90 82 k k NNP en-wikipedia-org-7018 90 83 ) ) -RRB- en-wikipedia-org-7018 90 84 { { -LRB- en-wikipedia-org-7018 90 85 \displaystyle \displaystyle CD en-wikipedia-org-7018 90 86 L_{i}((x_{j}^{k})_{k l_{i}((x_{j}^{k})_{k UH en-wikipedia-org-7018 90 87 , , , en-wikipedia-org-7018 90 88 j},(\lambda j},(\lambda NNP en-wikipedia-org-7018 90 89 _ _ NNP en-wikipedia-org-7018 90 90 { { -LRB- en-wikipedia-org-7018 90 91 k})_{k},(\mu k})_{k},(\mu NN en-wikipedia-org-7018 90 92 _ _ NNP en-wikipedia-org-7018 90 93 { { -LRB- en-wikipedia-org-7018 90 94 j})_{j})=f^{i}(x^{i})+\sum j})_{j})=f^{i}(x^{i})+\sum NNP en-wikipedia-org-7018 90 95 _ _ NNP en-wikipedia-org-7018 90 96 { { -LRB- en-wikipedia-org-7018 90 97 k=2}^{m}\lambda k=2}^{m}\lambda NNP en-wikipedia-org-7018 90 98 _ _ NNP en-wikipedia-org-7018 90 99 { { -LRB- en-wikipedia-org-7018 90 100 k}(z_{k}-f^{k}(x^{k}))+\sum k}(z_{k}-f^{k}(x^{k}))+\sum NNP en-wikipedia-org-7018 90 101 _ _ NNP en-wikipedia-org-7018 90 102 { { -LRB- en-wikipedia-org-7018 90 103 j=1}^{n}\mu j=1}^{n}\mu NNP en-wikipedia-org-7018 90 104 _ _ NNP en-wikipedia-org-7018 90 105 { { -LRB- en-wikipedia-org-7018 90 106 j}\left(b_{j}-\sum j}\left(b_{j}-\sum NNP en-wikipedia-org-7018 90 107 _ _ NNP en-wikipedia-org-7018 90 108 { { -LRB- en-wikipedia-org-7018 90 109 k=1}^{m}x_{j}^{k}\right k=1}^{m}x_{j}^{k}\right NNP en-wikipedia-org-7018 90 110 ) ) -RRB- en-wikipedia-org-7018 90 111 } } -RRB- en-wikipedia-org-7018 90 112 where where WRB en-wikipedia-org-7018 90 113 ( ( -LRB- en-wikipedia-org-7018 90 114 λ λ NNP en-wikipedia-org-7018 90 115 k k XX en-wikipedia-org-7018 90 116 ) ) -RRB- en-wikipedia-org-7018 90 117 k k NN en-wikipedia-org-7018 90 118 { { -LRB- en-wikipedia-org-7018 90 119 \displaystyle \displaystyle CD en-wikipedia-org-7018 90 120 ( ( -LRB- en-wikipedia-org-7018 90 121 \lambda \lambda CD en-wikipedia-org-7018 90 122 _ _ NNP en-wikipedia-org-7018 90 123 { { -LRB- en-wikipedia-org-7018 90 124 k})_{k k})_{k NN en-wikipedia-org-7018 90 125 } } -RRB- en-wikipedia-org-7018 90 126 } } -RRB- en-wikipedia-org-7018 90 127 and and CC en-wikipedia-org-7018 90 128 ( ( -LRB- en-wikipedia-org-7018 90 129 μ μ NNP en-wikipedia-org-7018 90 130 j j NNP en-wikipedia-org-7018 90 131 ) ) -RRB- en-wikipedia-org-7018 90 132 j j NNP en-wikipedia-org-7018 90 133 { { -LRB- en-wikipedia-org-7018 90 134 \displaystyle \displaystyle CD en-wikipedia-org-7018 90 135 ( ( -LRB- en-wikipedia-org-7018 90 136 \mu \mu NNP en-wikipedia-org-7018 90 137 _ _ NNP en-wikipedia-org-7018 90 138 { { -LRB- en-wikipedia-org-7018 90 139 j})_{j j})_{j NNP en-wikipedia-org-7018 90 140 } } -RRB- en-wikipedia-org-7018 90 141 } } -RRB- en-wikipedia-org-7018 90 142 are be VBP en-wikipedia-org-7018 90 143 the the DT en-wikipedia-org-7018 90 144 vectors vector NNS en-wikipedia-org-7018 90 145 of of IN en-wikipedia-org-7018 90 146 multipliers multiplier NNS en-wikipedia-org-7018 90 147 . . . en-wikipedia-org-7018 91 1 Taking take VBG en-wikipedia-org-7018 91 2 the the DT en-wikipedia-org-7018 91 3 partial partial JJ en-wikipedia-org-7018 91 4 derivative derivative NN en-wikipedia-org-7018 91 5 of of IN en-wikipedia-org-7018 91 6 the the DT en-wikipedia-org-7018 91 7 Lagrangian Lagrangian NNP en-wikipedia-org-7018 91 8 with with IN en-wikipedia-org-7018 91 9 respect respect NN en-wikipedia-org-7018 91 10 to to IN en-wikipedia-org-7018 91 11 each each DT en-wikipedia-org-7018 91 12 good good JJ en-wikipedia-org-7018 91 13 x x SYM en-wikipedia-org-7018 91 14 j j NNP en-wikipedia-org-7018 91 15 k k NN en-wikipedia-org-7018 91 16 { { -LRB- en-wikipedia-org-7018 91 17 \displaystyle \displaystyle CD en-wikipedia-org-7018 91 18 x_{j}^{k x_{j}^{k XX en-wikipedia-org-7018 91 19 } } -RRB- en-wikipedia-org-7018 91 20 } } -RRB- en-wikipedia-org-7018 91 21 for for IN en-wikipedia-org-7018 91 22 j j NNP en-wikipedia-org-7018 91 23 = = SYM en-wikipedia-org-7018 91 24 1 1 CD en-wikipedia-org-7018 91 25 , , , en-wikipedia-org-7018 91 26 … … NFP en-wikipedia-org-7018 91 27 , , , en-wikipedia-org-7018 91 28 n n CC en-wikipedia-org-7018 91 29 { { -LRB- en-wikipedia-org-7018 91 30 \displaystyle \displaystyle CD en-wikipedia-org-7018 91 31 j=1,\ldots j=1,\ldots CD en-wikipedia-org-7018 91 32 , , , en-wikipedia-org-7018 91 33 n n CC en-wikipedia-org-7018 91 34 } } -RRB- en-wikipedia-org-7018 91 35 and and CC en-wikipedia-org-7018 91 36 k k NNP en-wikipedia-org-7018 91 37 = = SYM en-wikipedia-org-7018 91 38 1 1 CD en-wikipedia-org-7018 91 39 , , , en-wikipedia-org-7018 91 40 … … NFP en-wikipedia-org-7018 91 41 , , , en-wikipedia-org-7018 91 42 m m NN en-wikipedia-org-7018 91 43 { { -LRB- en-wikipedia-org-7018 91 44 \displaystyle \displaystyle CD en-wikipedia-org-7018 91 45 k=1,\ldots k=1,\ldot NNS en-wikipedia-org-7018 91 46 , , , en-wikipedia-org-7018 91 47 m m NNP en-wikipedia-org-7018 91 48 } } -RRB- en-wikipedia-org-7018 91 49 and and CC en-wikipedia-org-7018 91 50 gives give VBZ en-wikipedia-org-7018 91 51 the the DT en-wikipedia-org-7018 91 52 following follow VBG en-wikipedia-org-7018 91 53 system system NN en-wikipedia-org-7018 91 54 of of IN en-wikipedia-org-7018 91 55 first first JJ en-wikipedia-org-7018 91 56 - - HYPH en-wikipedia-org-7018 91 57 order order NN en-wikipedia-org-7018 91 58 conditions condition NNS en-wikipedia-org-7018 91 59 : : : en-wikipedia-org-7018 91 60 ∂ ∂ NNP en-wikipedia-org-7018 91 61 L L NNP en-wikipedia-org-7018 91 62 i i PRP en-wikipedia-org-7018 91 63 ∂ ∂ NNP en-wikipedia-org-7018 91 64 x x SYM en-wikipedia-org-7018 91 65 j j NNP en-wikipedia-org-7018 91 66 i i NN en-wikipedia-org-7018 91 67 = = SYM en-wikipedia-org-7018 91 68 f f NNP en-wikipedia-org-7018 91 69 x x NNP en-wikipedia-org-7018 91 70 j j NNP en-wikipedia-org-7018 91 71 i i NN en-wikipedia-org-7018 91 72 1 1 CD en-wikipedia-org-7018 91 73 − − NNP en-wikipedia-org-7018 91 74 μ μ NNP en-wikipedia-org-7018 91 75 j j NNP en-wikipedia-org-7018 91 76 = = SYM en-wikipedia-org-7018 91 77 0 0 CD en-wikipedia-org-7018 91 78   _SP en-wikipedia-org-7018 91 79 for for IN en-wikipedia-org-7018 91 80     _SP en-wikipedia-org-7018 91 81 j j NNP en-wikipedia-org-7018 91 82 = = SYM en-wikipedia-org-7018 91 83 1 1 CD en-wikipedia-org-7018 91 84 , , , en-wikipedia-org-7018 91 85 … … NFP en-wikipedia-org-7018 91 86 , , , en-wikipedia-org-7018 91 87 n n NN en-wikipedia-org-7018 91 88 , , , en-wikipedia-org-7018 91 89 { { -LRB- en-wikipedia-org-7018 91 90 \displaystyle \displaystyle CD en-wikipedia-org-7018 91 91 { { -LRB- en-wikipedia-org-7018 91 92 \frac \frac CD en-wikipedia-org-7018 91 93 { { -LRB- en-wikipedia-org-7018 91 94 \partial \partial CD en-wikipedia-org-7018 91 95 L_{i}}{\partial L_{i}}{\partial NNP en-wikipedia-org-7018 91 96 x_{j}^{i}}}=f_{x_{j}^{i}}^{1}-\mu x_{j}^{i}}}=f_{x_{j}^{i}}^{1}-\mu NNP en-wikipedia-org-7018 91 97 _ _ NNP en-wikipedia-org-7018 91 98 { { -LRB- en-wikipedia-org-7018 91 99 j}=0{\text j}=0{\text NN en-wikipedia-org-7018 91 100 { { -LRB- en-wikipedia-org-7018 91 101 for for IN en-wikipedia-org-7018 91 102 } } -RRB- en-wikipedia-org-7018 91 103 } } -RRB- en-wikipedia-org-7018 91 104 j=1,\ldots j=1,\ldots NN en-wikipedia-org-7018 91 105 , , , en-wikipedia-org-7018 91 106 n n CC en-wikipedia-org-7018 91 107 , , , en-wikipedia-org-7018 91 108 } } -RRB- en-wikipedia-org-7018 91 109 ∂ ∂ NNP en-wikipedia-org-7018 91 110 L L NNP en-wikipedia-org-7018 91 111 i i PRP en-wikipedia-org-7018 91 112 ∂ ∂ NNP en-wikipedia-org-7018 91 113 x x SYM en-wikipedia-org-7018 91 114 j j NNP en-wikipedia-org-7018 91 115 k k NNP en-wikipedia-org-7018 91 116 = = SYM en-wikipedia-org-7018 91 117 − − NNP en-wikipedia-org-7018 91 118 λ λ NNP en-wikipedia-org-7018 91 119 k k NNP en-wikipedia-org-7018 91 120 f f NNP en-wikipedia-org-7018 91 121 x x NNP en-wikipedia-org-7018 91 122 j j NNP en-wikipedia-org-7018 91 123 k k NNP en-wikipedia-org-7018 91 124 i i NNP en-wikipedia-org-7018 91 125 − − NNP en-wikipedia-org-7018 91 126 μ μ NNP en-wikipedia-org-7018 91 127 j j NNP en-wikipedia-org-7018 91 128 = = SYM en-wikipedia-org-7018 91 129 0 0 CD en-wikipedia-org-7018 91 130   _SP en-wikipedia-org-7018 91 131 for for IN en-wikipedia-org-7018 91 132     _SP en-wikipedia-org-7018 91 133 k k NNP en-wikipedia-org-7018 91 134 = = SYM en-wikipedia-org-7018 91 135 2 2 CD en-wikipedia-org-7018 91 136 , , , en-wikipedia-org-7018 91 137 … … NFP en-wikipedia-org-7018 91 138 , , , en-wikipedia-org-7018 91 139 m m NN en-wikipedia-org-7018 91 140   _SP en-wikipedia-org-7018 91 141 and and CC en-wikipedia-org-7018 91 142     _SP en-wikipedia-org-7018 91 143 j j NNP en-wikipedia-org-7018 91 144 = = SYM en-wikipedia-org-7018 91 145 1 1 CD en-wikipedia-org-7018 91 146 , , , en-wikipedia-org-7018 91 147 … … NFP en-wikipedia-org-7018 91 148 , , , en-wikipedia-org-7018 91 149 n n NN en-wikipedia-org-7018 91 150 , , , en-wikipedia-org-7018 91 151 { { -LRB- en-wikipedia-org-7018 91 152 \displaystyle \displaystyle CD en-wikipedia-org-7018 91 153 { { -LRB- en-wikipedia-org-7018 91 154 \frac \frac CD en-wikipedia-org-7018 91 155 { { -LRB- en-wikipedia-org-7018 91 156 \partial \partial CD en-wikipedia-org-7018 91 157 L_{i}}{\partial L_{i}}{\partial NNP en-wikipedia-org-7018 91 158 x_{j}^{k}}}=-\lambda x_{j}^{k}}}=-\lambda NN en-wikipedia-org-7018 91 159 _ _ NNP en-wikipedia-org-7018 91 160 { { -LRB- en-wikipedia-org-7018 91 161 k}f_{x_{j}^{k}}^{i}-\mu k}f_{x_{j}^{k}}^{i}-\mu NNP en-wikipedia-org-7018 91 162 _ _ NNP en-wikipedia-org-7018 91 163 { { -LRB- en-wikipedia-org-7018 91 164 j}=0{\text j}=0{\text NN en-wikipedia-org-7018 91 165 { { -LRB- en-wikipedia-org-7018 91 166 for for IN en-wikipedia-org-7018 91 167 } } -RRB- en-wikipedia-org-7018 91 168 } } -RRB- en-wikipedia-org-7018 91 169 k=2,\ldots k=2,\ldots NN en-wikipedia-org-7018 91 170 , , , en-wikipedia-org-7018 91 171 m{\text m{\text NN en-wikipedia-org-7018 91 172 { { -LRB- en-wikipedia-org-7018 91 173 and and CC en-wikipedia-org-7018 91 174 } } -RRB- en-wikipedia-org-7018 91 175 } } -RRB- en-wikipedia-org-7018 91 176 j=1,\ldots j=1,\ldots NN en-wikipedia-org-7018 91 177 , , , en-wikipedia-org-7018 91 178 n n CC en-wikipedia-org-7018 91 179 , , , en-wikipedia-org-7018 91 180 } } -RRB- en-wikipedia-org-7018 91 181 where where WRB en-wikipedia-org-7018 91 182 f f NNP en-wikipedia-org-7018 91 183 x x SYM en-wikipedia-org-7018 91 184 j j NNP en-wikipedia-org-7018 91 185 i i PRP en-wikipedia-org-7018 91 186 { { -LRB- en-wikipedia-org-7018 91 187 \displaystyle \displaystyle CD en-wikipedia-org-7018 91 188 f_{x_{j}^{i f_{x_{j}^{i NN en-wikipedia-org-7018 91 189 } } -RRB- en-wikipedia-org-7018 91 190 } } -RRB- en-wikipedia-org-7018 91 191 } } -RRB- en-wikipedia-org-7018 91 192 denotes denote VBZ en-wikipedia-org-7018 91 193 the the DT en-wikipedia-org-7018 91 194 partial partial JJ en-wikipedia-org-7018 91 195 derivative derivative NN en-wikipedia-org-7018 91 196 of of IN en-wikipedia-org-7018 91 197 f f NNP en-wikipedia-org-7018 91 198 { { -LRB- en-wikipedia-org-7018 91 199 \displaystyle \displaystyle CD en-wikipedia-org-7018 91 200 f f NN en-wikipedia-org-7018 91 201 } } -RRB- en-wikipedia-org-7018 91 202 with with IN en-wikipedia-org-7018 91 203 respect respect NN en-wikipedia-org-7018 91 204 to to IN en-wikipedia-org-7018 91 205 x x NNP en-wikipedia-org-7018 91 206 j j NNP en-wikipedia-org-7018 91 207 i i PRP en-wikipedia-org-7018 91 208 { { -LRB- en-wikipedia-org-7018 91 209 \displaystyle \displaystyle CD en-wikipedia-org-7018 91 210 x_{j}^{i x_{j}^{i NNP en-wikipedia-org-7018 91 211 } } -RRB- en-wikipedia-org-7018 91 212 } } -RRB- en-wikipedia-org-7018 91 213 . . . en-wikipedia-org-7018 92 1 Now now RB en-wikipedia-org-7018 92 2 , , , en-wikipedia-org-7018 92 3 fix fix VB en-wikipedia-org-7018 92 4 any any DT en-wikipedia-org-7018 92 5 k k NN en-wikipedia-org-7018 92 6 ≠ ≠ NN en-wikipedia-org-7018 92 7 i i PRP en-wikipedia-org-7018 92 8 { { -LRB- en-wikipedia-org-7018 92 9 \displaystyle \displaystyle CD en-wikipedia-org-7018 92 10 k\neq k\neq NNP en-wikipedia-org-7018 92 11 i i PRP en-wikipedia-org-7018 92 12 } } -RRB- en-wikipedia-org-7018 92 13 and and CC en-wikipedia-org-7018 92 14 j j NNP en-wikipedia-org-7018 92 15 , , , en-wikipedia-org-7018 92 16 s s NNP en-wikipedia-org-7018 92 17 ∈ ∈ NNP en-wikipedia-org-7018 92 18 { { -LRB- en-wikipedia-org-7018 92 19 1 1 CD en-wikipedia-org-7018 92 20 , , , en-wikipedia-org-7018 92 21 … … NFP en-wikipedia-org-7018 92 22 , , , en-wikipedia-org-7018 92 23 n n NN en-wikipedia-org-7018 92 24 } } -RRB- en-wikipedia-org-7018 92 25 { { -LRB- en-wikipedia-org-7018 92 26 \displaystyle \displaystyle CD en-wikipedia-org-7018 92 27 j j NNP en-wikipedia-org-7018 92 28 , , , en-wikipedia-org-7018 92 29 s\in s\in NNP en-wikipedia-org-7018 92 30 \{1,\ldots \{1,\ldots NNP en-wikipedia-org-7018 92 31 , , , en-wikipedia-org-7018 92 32 n\ n\ NNP en-wikipedia-org-7018 92 33 } } -RRB- en-wikipedia-org-7018 92 34 } } -RRB- en-wikipedia-org-7018 92 35 . . . en-wikipedia-org-7018 93 1 The the DT en-wikipedia-org-7018 93 2 above above JJ en-wikipedia-org-7018 93 3 first first JJ en-wikipedia-org-7018 93 4 - - HYPH en-wikipedia-org-7018 93 5 order order NN en-wikipedia-org-7018 93 6 condition condition NN en-wikipedia-org-7018 93 7 imply imply VBP en-wikipedia-org-7018 93 8 that that IN en-wikipedia-org-7018 93 9 f f NNP en-wikipedia-org-7018 93 10 x x SYM en-wikipedia-org-7018 93 11 j j NNP en-wikipedia-org-7018 93 12 i i NN en-wikipedia-org-7018 93 13 i i PRP en-wikipedia-org-7018 93 14 f f NNP en-wikipedia-org-7018 93 15 x x NNP en-wikipedia-org-7018 93 16 s s NNP en-wikipedia-org-7018 93 17 i i NN en-wikipedia-org-7018 93 18 i i NN en-wikipedia-org-7018 93 19 = = SYM en-wikipedia-org-7018 93 20 μ μ NNP en-wikipedia-org-7018 93 21 j j NNP en-wikipedia-org-7018 93 22 μ μ NNP en-wikipedia-org-7018 93 23 s s NNP en-wikipedia-org-7018 93 24 = = SYM en-wikipedia-org-7018 93 25 f f NNP en-wikipedia-org-7018 93 26 x x NNP en-wikipedia-org-7018 93 27 j j NNP en-wikipedia-org-7018 93 28 k k NNP en-wikipedia-org-7018 93 29 k k NNP en-wikipedia-org-7018 93 30 f f NNP en-wikipedia-org-7018 93 31 x x NNP en-wikipedia-org-7018 93 32 s s NNP en-wikipedia-org-7018 93 33 k k NNP en-wikipedia-org-7018 93 34 k k NNP en-wikipedia-org-7018 93 35 . . . en-wikipedia-org-7018 94 1 { { -LRB- en-wikipedia-org-7018 94 2 \displaystyle \displaystyle CD en-wikipedia-org-7018 94 3 { { -LRB- en-wikipedia-org-7018 94 4 \frac \frac CD en-wikipedia-org-7018 94 5 { { -LRB- en-wikipedia-org-7018 94 6 f_{x_{j}^{i}}^{i}}{f_{x_{s}^{i}}^{i}}}={\frac f_{x_{j}^{i}}^{i}}{f_{x_{s}^{i}}^{i}}}={\frac JJ en-wikipedia-org-7018 94 7 { { -LRB- en-wikipedia-org-7018 94 8 \mu \mu NNP en-wikipedia-org-7018 94 9 _ _ NNP en-wikipedia-org-7018 94 10 { { -LRB- en-wikipedia-org-7018 94 11 j}}{\mu j}}{\mu NNP en-wikipedia-org-7018 94 12 _ _ NNP en-wikipedia-org-7018 94 13 { { -LRB- en-wikipedia-org-7018 94 14 s}}}={\frac s}}}={\frac NN en-wikipedia-org-7018 94 15 { { -LRB- en-wikipedia-org-7018 94 16 f_{x_{j}^{k}}^{k}}{f_{x_{s}^{k}}^{k f_{x_{j}^{k}}^{k}}{f_{x_{s}^{k}}^{k NN en-wikipedia-org-7018 94 17 } } -RRB- en-wikipedia-org-7018 94 18 } } -RRB- en-wikipedia-org-7018 94 19 } } -RRB- en-wikipedia-org-7018 94 20 . . . en-wikipedia-org-7018 94 21 } } -RRB- en-wikipedia-org-7018 95 1 Thus thus RB en-wikipedia-org-7018 95 2 , , , en-wikipedia-org-7018 95 3 in in IN en-wikipedia-org-7018 95 4 a a DT en-wikipedia-org-7018 95 5 Pareto Pareto NNP en-wikipedia-org-7018 95 6 - - HYPH en-wikipedia-org-7018 95 7 optimal optimal NNP en-wikipedia-org-7018 95 8 allocation allocation NN en-wikipedia-org-7018 95 9 , , , en-wikipedia-org-7018 95 10 the the DT en-wikipedia-org-7018 95 11 marginal marginal JJ en-wikipedia-org-7018 95 12 rate rate NN en-wikipedia-org-7018 95 13 of of IN en-wikipedia-org-7018 95 14 substitution substitution NN en-wikipedia-org-7018 95 15 must must MD en-wikipedia-org-7018 95 16 be be VB en-wikipedia-org-7018 95 17 the the DT en-wikipedia-org-7018 95 18 same same JJ en-wikipedia-org-7018 95 19 for for IN en-wikipedia-org-7018 95 20 all all DT en-wikipedia-org-7018 95 21 consumers consumer NNS en-wikipedia-org-7018 95 22 . . . en-wikipedia-org-7018 96 1 [ [ -LRB- en-wikipedia-org-7018 96 2 citation citation NNP en-wikipedia-org-7018 96 3 needed need VBN en-wikipedia-org-7018 96 4 ] ] -RRB- en-wikipedia-org-7018 96 5 Computation[edit computation[edit NN en-wikipedia-org-7018 96 6 ] ] -RRB- en-wikipedia-org-7018 96 7 Algorithms Algorithms NNP en-wikipedia-org-7018 96 8 for for IN en-wikipedia-org-7018 96 9 computing compute VBG en-wikipedia-org-7018 96 10 the the DT en-wikipedia-org-7018 96 11 Pareto Pareto NNP en-wikipedia-org-7018 96 12 frontier frontier NN en-wikipedia-org-7018 96 13 of of IN en-wikipedia-org-7018 96 14 a a DT en-wikipedia-org-7018 96 15 finite finite JJ en-wikipedia-org-7018 96 16 set set NN en-wikipedia-org-7018 96 17 of of IN en-wikipedia-org-7018 96 18 alternatives alternative NNS en-wikipedia-org-7018 96 19 have have VBP en-wikipedia-org-7018 96 20 been be VBN en-wikipedia-org-7018 96 21 studied study VBN en-wikipedia-org-7018 96 22 in in IN en-wikipedia-org-7018 96 23 computer computer NN en-wikipedia-org-7018 96 24 science science NN en-wikipedia-org-7018 96 25 and and CC en-wikipedia-org-7018 96 26 power power NN en-wikipedia-org-7018 96 27 engineering engineering NN en-wikipedia-org-7018 96 28 . . . en-wikipedia-org-7018 97 1 [ [ -LRB- en-wikipedia-org-7018 97 2 17 17 CD en-wikipedia-org-7018 97 3 ] ] -RRB- en-wikipedia-org-7018 97 4 They -PRON- PRP en-wikipedia-org-7018 97 5 include include VBP en-wikipedia-org-7018 97 6 : : : en-wikipedia-org-7018 97 7 " " `` en-wikipedia-org-7018 97 8 The the DT en-wikipedia-org-7018 97 9 maximum maximum JJ en-wikipedia-org-7018 97 10 vector vector NN en-wikipedia-org-7018 97 11 problem problem NN en-wikipedia-org-7018 97 12 " " '' en-wikipedia-org-7018 97 13 or or CC en-wikipedia-org-7018 97 14 the the DT en-wikipedia-org-7018 97 15 skyline skyline NN en-wikipedia-org-7018 97 16 query query NN en-wikipedia-org-7018 97 17 . . . en-wikipedia-org-7018 98 1 [ [ -LRB- en-wikipedia-org-7018 98 2 18][19][20 18][19][20 CD en-wikipedia-org-7018 98 3 ] ] -RRB- en-wikipedia-org-7018 98 4 " " `` en-wikipedia-org-7018 98 5 The the DT en-wikipedia-org-7018 98 6 scalarization scalarization NN en-wikipedia-org-7018 98 7 algorithm algorithm NN en-wikipedia-org-7018 98 8 " " '' en-wikipedia-org-7018 98 9 or or CC en-wikipedia-org-7018 98 10 the the DT en-wikipedia-org-7018 98 11 method method NN en-wikipedia-org-7018 98 12 of of IN en-wikipedia-org-7018 98 13 weighted weighted JJ en-wikipedia-org-7018 98 14 sums sum NNS en-wikipedia-org-7018 98 15 . . . en-wikipedia-org-7018 99 1 [ [ -LRB- en-wikipedia-org-7018 99 2 21][22 21][22 CD en-wikipedia-org-7018 99 3 ] ] -RRB- en-wikipedia-org-7018 99 4 " " `` en-wikipedia-org-7018 99 5 The The NNP en-wikipedia-org-7018 99 6 ϵ ϵ NN en-wikipedia-org-7018 99 7 { { -LRB- en-wikipedia-org-7018 99 8 \displaystyle \displaystyle CD en-wikipedia-org-7018 99 9 \epsilon \epsilon CD en-wikipedia-org-7018 99 10 } } -RRB- en-wikipedia-org-7018 99 11 -constraints -constraints NN en-wikipedia-org-7018 99 12 method method NN en-wikipedia-org-7018 99 13 " " '' en-wikipedia-org-7018 99 14 . . . en-wikipedia-org-7018 100 1 [ [ -LRB- en-wikipedia-org-7018 100 2 23][24 23][24 CD en-wikipedia-org-7018 100 3 ] ] -RRB- en-wikipedia-org-7018 100 4 Use Use NNP en-wikipedia-org-7018 100 5 in in IN en-wikipedia-org-7018 100 6 public public JJ en-wikipedia-org-7018 100 7 policy[edit policy[edit NN en-wikipedia-org-7018 100 8 ] ] -RRB- en-wikipedia-org-7018 100 9 The the DT en-wikipedia-org-7018 100 10 modern modern JJ en-wikipedia-org-7018 100 11 microeconomic microeconomic JJ en-wikipedia-org-7018 100 12 theory theory NN en-wikipedia-org-7018 100 13 drew draw VBD en-wikipedia-org-7018 100 14 inspirations inspiration NNS en-wikipedia-org-7018 100 15 heavily heavily RB en-wikipedia-org-7018 100 16 from from IN en-wikipedia-org-7018 100 17 Pareto Pareto NNP en-wikipedia-org-7018 100 18 efficiency efficiency NN en-wikipedia-org-7018 100 19 . . . en-wikipedia-org-7018 101 1 Since since IN en-wikipedia-org-7018 101 2 Pareto Pareto NNP en-wikipedia-org-7018 101 3 showed show VBD en-wikipedia-org-7018 101 4 that that IN en-wikipedia-org-7018 101 5 the the DT en-wikipedia-org-7018 101 6 equilibrium equilibrium NN en-wikipedia-org-7018 101 7 achieved achieve VBN en-wikipedia-org-7018 101 8 through through IN en-wikipedia-org-7018 101 9 competition competition NN en-wikipedia-org-7018 101 10 would would MD en-wikipedia-org-7018 101 11 optimize optimize VB en-wikipedia-org-7018 101 12 resource resource NN en-wikipedia-org-7018 101 13 allocation allocation NN en-wikipedia-org-7018 101 14 , , , en-wikipedia-org-7018 101 15 it -PRON- PRP en-wikipedia-org-7018 101 16 is be VBZ en-wikipedia-org-7018 101 17 effectively effectively RB en-wikipedia-org-7018 101 18 corroborating corroborate VBG en-wikipedia-org-7018 101 19 Adam Adam NNP en-wikipedia-org-7018 101 20 Smith Smith NNP en-wikipedia-org-7018 101 21 's 's POS en-wikipedia-org-7018 101 22 " " `` en-wikipedia-org-7018 101 23 invisible invisible JJ en-wikipedia-org-7018 101 24 hand hand NN en-wikipedia-org-7018 101 25 " " '' en-wikipedia-org-7018 101 26 notion notion NN en-wikipedia-org-7018 101 27 . . . en-wikipedia-org-7018 102 1 More more RBR en-wikipedia-org-7018 102 2 specifically specifically RB en-wikipedia-org-7018 102 3 , , , en-wikipedia-org-7018 102 4 it -PRON- PRP en-wikipedia-org-7018 102 5 motivated motivate VBD en-wikipedia-org-7018 102 6 the the DT en-wikipedia-org-7018 102 7 debate debate NN en-wikipedia-org-7018 102 8 over over IN en-wikipedia-org-7018 102 9 " " `` en-wikipedia-org-7018 102 10 market market NN en-wikipedia-org-7018 102 11 socialism socialism NN en-wikipedia-org-7018 102 12 " " '' en-wikipedia-org-7018 102 13 in in IN en-wikipedia-org-7018 102 14 the the DT en-wikipedia-org-7018 102 15 1930s 1930 NNS en-wikipedia-org-7018 102 16 . . . en-wikipedia-org-7018 103 1 [ [ -LRB- en-wikipedia-org-7018 103 2 25 25 CD en-wikipedia-org-7018 103 3 ] ] -RRB- en-wikipedia-org-7018 103 4 Use Use NNP en-wikipedia-org-7018 103 5 in in IN en-wikipedia-org-7018 103 6 biology[edit biology[edit LS en-wikipedia-org-7018 103 7 ] ] -RRB- en-wikipedia-org-7018 103 8 Pareto Pareto NNP en-wikipedia-org-7018 103 9 optimisation optimisation NN en-wikipedia-org-7018 103 10 has have VBZ en-wikipedia-org-7018 103 11 also also RB en-wikipedia-org-7018 103 12 been be VBN en-wikipedia-org-7018 103 13 studied study VBN en-wikipedia-org-7018 103 14 in in IN en-wikipedia-org-7018 103 15 biological biological JJ en-wikipedia-org-7018 103 16 processes process NNS en-wikipedia-org-7018 103 17 . . . en-wikipedia-org-7018 104 1 [ [ -LRB- en-wikipedia-org-7018 104 2 26]:87–102 26]:87–102 CD en-wikipedia-org-7018 104 3 In in IN en-wikipedia-org-7018 104 4 bacteria bacteria NNS en-wikipedia-org-7018 104 5 , , , en-wikipedia-org-7018 104 6 genes gene NNS en-wikipedia-org-7018 104 7 were be VBD en-wikipedia-org-7018 104 8 shown show VBN en-wikipedia-org-7018 104 9 to to TO en-wikipedia-org-7018 104 10 be be VB en-wikipedia-org-7018 104 11 either either CC en-wikipedia-org-7018 104 12 inexpensive inexpensive JJ en-wikipedia-org-7018 104 13 to to TO en-wikipedia-org-7018 104 14 make make VB en-wikipedia-org-7018 104 15 ( ( -LRB- en-wikipedia-org-7018 104 16 resource resource VB en-wikipedia-org-7018 104 17 efficient efficient JJ en-wikipedia-org-7018 104 18 ) ) -RRB- en-wikipedia-org-7018 104 19 or or CC en-wikipedia-org-7018 104 20 easier easy JJR en-wikipedia-org-7018 104 21 to to TO en-wikipedia-org-7018 104 22 read read VB en-wikipedia-org-7018 104 23 ( ( -LRB- en-wikipedia-org-7018 104 24 translation translation NN en-wikipedia-org-7018 104 25 efficient efficient JJ en-wikipedia-org-7018 104 26 ) ) -RRB- en-wikipedia-org-7018 104 27 . . . en-wikipedia-org-7018 105 1 Natural natural JJ en-wikipedia-org-7018 105 2 selection selection NN en-wikipedia-org-7018 105 3 acts act VBZ en-wikipedia-org-7018 105 4 to to TO en-wikipedia-org-7018 105 5 push push VB en-wikipedia-org-7018 105 6 highly highly RB en-wikipedia-org-7018 105 7 expressed express VBN en-wikipedia-org-7018 105 8 genes gene NNS en-wikipedia-org-7018 105 9 towards towards IN en-wikipedia-org-7018 105 10 the the DT en-wikipedia-org-7018 105 11 Pareto Pareto NNP en-wikipedia-org-7018 105 12 frontier frontier NN en-wikipedia-org-7018 105 13 for for IN en-wikipedia-org-7018 105 14 resource resource NN en-wikipedia-org-7018 105 15 use use NN en-wikipedia-org-7018 105 16 and and CC en-wikipedia-org-7018 105 17 translational translational JJ en-wikipedia-org-7018 105 18 efficiency efficiency NN en-wikipedia-org-7018 105 19 . . . en-wikipedia-org-7018 106 1 [ [ -LRB- en-wikipedia-org-7018 106 2 27]:166–169 27]:166–169 CD en-wikipedia-org-7018 106 3 Genes gene NNS en-wikipedia-org-7018 106 4 near near IN en-wikipedia-org-7018 106 5 the the DT en-wikipedia-org-7018 106 6 Pareto Pareto NNP en-wikipedia-org-7018 106 7 frontier frontier NN en-wikipedia-org-7018 106 8 were be VBD en-wikipedia-org-7018 106 9 also also RB en-wikipedia-org-7018 106 10 shown show VBN en-wikipedia-org-7018 106 11 to to TO en-wikipedia-org-7018 106 12 evolve evolve VB en-wikipedia-org-7018 106 13 more more RBR en-wikipedia-org-7018 106 14 slowly slowly RB en-wikipedia-org-7018 106 15 ( ( -LRB- en-wikipedia-org-7018 106 16 indicating indicate VBG en-wikipedia-org-7018 106 17 that that IN en-wikipedia-org-7018 106 18 they -PRON- PRP en-wikipedia-org-7018 106 19 are be VBP en-wikipedia-org-7018 106 20 providing provide VBG en-wikipedia-org-7018 106 21 a a DT en-wikipedia-org-7018 106 22 selective selective JJ en-wikipedia-org-7018 106 23 advantage advantage NN en-wikipedia-org-7018 106 24 ) ) -RRB- en-wikipedia-org-7018 106 25 . . . en-wikipedia-org-7018 107 1 [ [ -LRB- en-wikipedia-org-7018 107 2 28 28 CD en-wikipedia-org-7018 107 3 ] ] -RRB- en-wikipedia-org-7018 107 4 Common common JJ en-wikipedia-org-7018 107 5 misconceptions[edit misconceptions[edit NFP en-wikipedia-org-7018 107 6 ] ] -RRB- en-wikipedia-org-7018 107 7 It -PRON- PRP en-wikipedia-org-7018 107 8 would would MD en-wikipedia-org-7018 107 9 be be VB en-wikipedia-org-7018 107 10 incorrect incorrect JJ en-wikipedia-org-7018 107 11 to to TO en-wikipedia-org-7018 107 12 treat treat VB en-wikipedia-org-7018 107 13 Pareto Pareto NNP en-wikipedia-org-7018 107 14 efficiency efficiency NN en-wikipedia-org-7018 107 15 as as IN en-wikipedia-org-7018 107 16 equivalent equivalent JJ en-wikipedia-org-7018 107 17 to to IN en-wikipedia-org-7018 107 18 societal societal JJ en-wikipedia-org-7018 107 19 optimization,[29]:358–364 optimization,[29]:358–364 NNP en-wikipedia-org-7018 107 20 as as IN en-wikipedia-org-7018 107 21 the the DT en-wikipedia-org-7018 107 22 latter latter NN en-wikipedia-org-7018 107 23 is be VBZ en-wikipedia-org-7018 107 24 a a DT en-wikipedia-org-7018 107 25 normative normative JJ en-wikipedia-org-7018 107 26 concept concept NN en-wikipedia-org-7018 107 27 that that WDT en-wikipedia-org-7018 107 28 is be VBZ en-wikipedia-org-7018 107 29 a a DT en-wikipedia-org-7018 107 30 matter matter NN en-wikipedia-org-7018 107 31 of of IN en-wikipedia-org-7018 107 32 interpretation interpretation NN en-wikipedia-org-7018 107 33 that that WDT en-wikipedia-org-7018 107 34 typically typically RB en-wikipedia-org-7018 107 35 would would MD en-wikipedia-org-7018 107 36 account account VB en-wikipedia-org-7018 107 37 for for IN en-wikipedia-org-7018 107 38 the the DT en-wikipedia-org-7018 107 39 consequence consequence NN en-wikipedia-org-7018 107 40 of of IN en-wikipedia-org-7018 107 41 degrees degree NNS en-wikipedia-org-7018 107 42 of of IN en-wikipedia-org-7018 107 43 inequality inequality NN en-wikipedia-org-7018 107 44 of of IN en-wikipedia-org-7018 107 45 distribution distribution NN en-wikipedia-org-7018 107 46 . . . en-wikipedia-org-7018 108 1 [ [ -LRB- en-wikipedia-org-7018 108 2 30]:10–15 30]:10–15 CD en-wikipedia-org-7018 108 3 An an DT en-wikipedia-org-7018 108 4 example example NN en-wikipedia-org-7018 108 5 would would MD en-wikipedia-org-7018 108 6 be be VB en-wikipedia-org-7018 108 7 the the DT en-wikipedia-org-7018 108 8 interpretation interpretation NN en-wikipedia-org-7018 108 9 of of IN en-wikipedia-org-7018 108 10 one one CD en-wikipedia-org-7018 108 11 school school NN en-wikipedia-org-7018 108 12 district district NN en-wikipedia-org-7018 108 13 with with IN en-wikipedia-org-7018 108 14 low low JJ en-wikipedia-org-7018 108 15 property property NN en-wikipedia-org-7018 108 16 tax tax NN en-wikipedia-org-7018 108 17 revenue revenue NN en-wikipedia-org-7018 108 18 versus versus IN en-wikipedia-org-7018 108 19 another another DT en-wikipedia-org-7018 108 20 with with IN en-wikipedia-org-7018 108 21 much much RB en-wikipedia-org-7018 108 22 higher high JJR en-wikipedia-org-7018 108 23 revenue revenue NN en-wikipedia-org-7018 108 24 as as IN en-wikipedia-org-7018 108 25 a a DT en-wikipedia-org-7018 108 26 sign sign NN en-wikipedia-org-7018 108 27 that that IN en-wikipedia-org-7018 108 28 more more RBR en-wikipedia-org-7018 108 29 equal equal JJ en-wikipedia-org-7018 108 30 distribution distribution NN en-wikipedia-org-7018 108 31 occurs occur VBZ en-wikipedia-org-7018 108 32 with with IN en-wikipedia-org-7018 108 33 the the DT en-wikipedia-org-7018 108 34 help help NN en-wikipedia-org-7018 108 35 of of IN en-wikipedia-org-7018 108 36 government government NN en-wikipedia-org-7018 108 37 redistribution redistribution NN en-wikipedia-org-7018 108 38 . . . en-wikipedia-org-7018 109 1 [ [ -LRB- en-wikipedia-org-7018 109 2 31]:95–132 31]:95–132 CD en-wikipedia-org-7018 109 3 Criticism[edit criticism[edit NN en-wikipedia-org-7018 109 4 ] ] -RRB- en-wikipedia-org-7018 109 5 This this DT en-wikipedia-org-7018 109 6 section section NN en-wikipedia-org-7018 109 7 will will MD en-wikipedia-org-7018 109 8 introduce introduce VB en-wikipedia-org-7018 109 9 criticisms criticism NNS en-wikipedia-org-7018 109 10 from from IN en-wikipedia-org-7018 109 11 the the DT en-wikipedia-org-7018 109 12 most most RBS en-wikipedia-org-7018 109 13 radical radical JJ en-wikipedia-org-7018 109 14 to to IN en-wikipedia-org-7018 109 15 more more RBR en-wikipedia-org-7018 109 16 moderate moderate JJ en-wikipedia-org-7018 109 17 ones one NNS en-wikipedia-org-7018 109 18 . . . en-wikipedia-org-7018 110 1 Some some DT en-wikipedia-org-7018 110 2 commentators commentator NNS en-wikipedia-org-7018 110 3 contest contest VBP en-wikipedia-org-7018 110 4 that that IN en-wikipedia-org-7018 110 5 Pareto Pareto NNP en-wikipedia-org-7018 110 6 efficiency efficiency NN en-wikipedia-org-7018 110 7 could could MD en-wikipedia-org-7018 110 8 potentially potentially RB en-wikipedia-org-7018 110 9 serve serve VB en-wikipedia-org-7018 110 10 as as IN en-wikipedia-org-7018 110 11 an an DT en-wikipedia-org-7018 110 12 ideological ideological JJ en-wikipedia-org-7018 110 13 tool tool NN en-wikipedia-org-7018 110 14 . . . en-wikipedia-org-7018 111 1 With with IN en-wikipedia-org-7018 111 2 it -PRON- PRP en-wikipedia-org-7018 111 3 implying imply VBG en-wikipedia-org-7018 111 4 that that IN en-wikipedia-org-7018 111 5 capitalism capitalism NN en-wikipedia-org-7018 111 6 is be VBZ en-wikipedia-org-7018 111 7 self self NN en-wikipedia-org-7018 111 8 - - HYPH en-wikipedia-org-7018 111 9 regulated regulated JJ en-wikipedia-org-7018 111 10 thereof thereof RB en-wikipedia-org-7018 111 11 , , , en-wikipedia-org-7018 111 12 it -PRON- PRP en-wikipedia-org-7018 111 13 is be VBZ en-wikipedia-org-7018 111 14 likely likely JJ en-wikipedia-org-7018 111 15 that that IN en-wikipedia-org-7018 111 16 the the DT en-wikipedia-org-7018 111 17 embedded embed VBN en-wikipedia-org-7018 111 18 structural structural JJ en-wikipedia-org-7018 111 19 problems problem NNS en-wikipedia-org-7018 111 20 such such JJ en-wikipedia-org-7018 111 21 as as IN en-wikipedia-org-7018 111 22 unemployment unemployment NN en-wikipedia-org-7018 111 23 would would MD en-wikipedia-org-7018 111 24 be be VB en-wikipedia-org-7018 111 25 treated treat VBN en-wikipedia-org-7018 111 26 as as IN en-wikipedia-org-7018 111 27 deviating deviate VBG en-wikipedia-org-7018 111 28 from from IN en-wikipedia-org-7018 111 29 the the DT en-wikipedia-org-7018 111 30 equilibrium equilibrium NN en-wikipedia-org-7018 111 31 or or CC en-wikipedia-org-7018 111 32 norm norm NN en-wikipedia-org-7018 111 33 , , , en-wikipedia-org-7018 111 34 and and CC en-wikipedia-org-7018 111 35 thus thus RB en-wikipedia-org-7018 111 36 neglected neglect VBD en-wikipedia-org-7018 111 37 or or CC en-wikipedia-org-7018 111 38 discounted discount VBN en-wikipedia-org-7018 111 39 . . . en-wikipedia-org-7018 112 1 [ [ -LRB- en-wikipedia-org-7018 112 2 32 32 CD en-wikipedia-org-7018 112 3 ] ] -RRB- en-wikipedia-org-7018 112 4 Pareto Pareto NNP en-wikipedia-org-7018 112 5 efficiency efficiency NN en-wikipedia-org-7018 112 6 does do VBZ en-wikipedia-org-7018 112 7 not not RB en-wikipedia-org-7018 112 8 require require VB en-wikipedia-org-7018 112 9 a a DT en-wikipedia-org-7018 112 10 totally totally RB en-wikipedia-org-7018 112 11 equitable equitable JJ en-wikipedia-org-7018 112 12 distribution distribution NN en-wikipedia-org-7018 112 13 of of IN en-wikipedia-org-7018 112 14 wealth wealth NN en-wikipedia-org-7018 112 15 , , , en-wikipedia-org-7018 112 16 which which WDT en-wikipedia-org-7018 112 17 is be VBZ en-wikipedia-org-7018 112 18 another another DT en-wikipedia-org-7018 112 19 aspect aspect NN en-wikipedia-org-7018 112 20 that that WDT en-wikipedia-org-7018 112 21 draws draw VBZ en-wikipedia-org-7018 112 22 in in IN en-wikipedia-org-7018 112 23 criticism criticism NN en-wikipedia-org-7018 112 24 . . . en-wikipedia-org-7018 113 1 [ [ -LRB- en-wikipedia-org-7018 113 2 33]:222 33]:222 CD en-wikipedia-org-7018 113 3 An an DT en-wikipedia-org-7018 113 4 economy economy NN en-wikipedia-org-7018 113 5 in in IN en-wikipedia-org-7018 113 6 which which WDT en-wikipedia-org-7018 113 7 a a DT en-wikipedia-org-7018 113 8 wealthy wealthy JJ en-wikipedia-org-7018 113 9 few few JJ en-wikipedia-org-7018 113 10 hold hold VBP en-wikipedia-org-7018 113 11 the the DT en-wikipedia-org-7018 113 12 vast vast JJ en-wikipedia-org-7018 113 13 majority majority NN en-wikipedia-org-7018 113 14 of of IN en-wikipedia-org-7018 113 15 resources resource NNS en-wikipedia-org-7018 113 16 can can MD en-wikipedia-org-7018 113 17 be be VB en-wikipedia-org-7018 113 18 Pareto Pareto NNP en-wikipedia-org-7018 113 19 efficient efficient JJ en-wikipedia-org-7018 113 20 . . . en-wikipedia-org-7018 114 1 A a DT en-wikipedia-org-7018 114 2 simple simple JJ en-wikipedia-org-7018 114 3 example example NN en-wikipedia-org-7018 114 4 is be VBZ en-wikipedia-org-7018 114 5 the the DT en-wikipedia-org-7018 114 6 distribution distribution NN en-wikipedia-org-7018 114 7 of of IN en-wikipedia-org-7018 114 8 a a DT en-wikipedia-org-7018 114 9 pie pie NN en-wikipedia-org-7018 114 10 among among IN en-wikipedia-org-7018 114 11 three three CD en-wikipedia-org-7018 114 12 people people NNS en-wikipedia-org-7018 114 13 . . . en-wikipedia-org-7018 115 1 The the DT en-wikipedia-org-7018 115 2 most most RBS en-wikipedia-org-7018 115 3 equitable equitable JJ en-wikipedia-org-7018 115 4 distribution distribution NN en-wikipedia-org-7018 115 5 would would MD en-wikipedia-org-7018 115 6 assign assign VB en-wikipedia-org-7018 115 7 one one CD en-wikipedia-org-7018 115 8 third third JJ en-wikipedia-org-7018 115 9 to to IN en-wikipedia-org-7018 115 10 each each DT en-wikipedia-org-7018 115 11 person person NN en-wikipedia-org-7018 115 12 . . . en-wikipedia-org-7018 116 1 However however RB en-wikipedia-org-7018 116 2 the the DT en-wikipedia-org-7018 116 3 assignment assignment NN en-wikipedia-org-7018 116 4 of of IN en-wikipedia-org-7018 116 5 , , , en-wikipedia-org-7018 116 6 say say VB en-wikipedia-org-7018 116 7 , , , en-wikipedia-org-7018 116 8 a a DT en-wikipedia-org-7018 116 9 half half JJ en-wikipedia-org-7018 116 10 section section NN en-wikipedia-org-7018 116 11 to to IN en-wikipedia-org-7018 116 12 each each DT en-wikipedia-org-7018 116 13 of of IN en-wikipedia-org-7018 116 14 two two CD en-wikipedia-org-7018 116 15 individuals individual NNS en-wikipedia-org-7018 116 16 and and CC en-wikipedia-org-7018 116 17 none none NN en-wikipedia-org-7018 116 18 to to IN en-wikipedia-org-7018 116 19 the the DT en-wikipedia-org-7018 116 20 third third JJ en-wikipedia-org-7018 116 21 is be VBZ en-wikipedia-org-7018 116 22 also also RB en-wikipedia-org-7018 116 23 Pareto Pareto NNP en-wikipedia-org-7018 116 24 optimal optimal JJ en-wikipedia-org-7018 116 25 despite despite IN en-wikipedia-org-7018 116 26 not not RB en-wikipedia-org-7018 116 27 being be VBG en-wikipedia-org-7018 116 28 equitable equitable JJ en-wikipedia-org-7018 116 29 , , , en-wikipedia-org-7018 116 30 because because IN en-wikipedia-org-7018 116 31 none none NN en-wikipedia-org-7018 116 32 of of IN en-wikipedia-org-7018 116 33 the the DT en-wikipedia-org-7018 116 34 recipients recipient NNS en-wikipedia-org-7018 116 35 could could MD en-wikipedia-org-7018 116 36 be be VB en-wikipedia-org-7018 116 37 made make VBN en-wikipedia-org-7018 116 38 better well RBR en-wikipedia-org-7018 116 39 off off RP en-wikipedia-org-7018 116 40 without without IN en-wikipedia-org-7018 116 41 decreasing decrease VBG en-wikipedia-org-7018 116 42 someone someone NN en-wikipedia-org-7018 116 43 else else RB en-wikipedia-org-7018 116 44 's 's POS en-wikipedia-org-7018 116 45 share share NN en-wikipedia-org-7018 116 46 ; ; : en-wikipedia-org-7018 116 47 and and CC en-wikipedia-org-7018 116 48 there there EX en-wikipedia-org-7018 116 49 are be VBP en-wikipedia-org-7018 116 50 many many JJ en-wikipedia-org-7018 116 51 other other JJ en-wikipedia-org-7018 116 52 such such JJ en-wikipedia-org-7018 116 53 distribution distribution NN en-wikipedia-org-7018 116 54 examples example NNS en-wikipedia-org-7018 116 55 . . . en-wikipedia-org-7018 117 1 An an DT en-wikipedia-org-7018 117 2 example example NN en-wikipedia-org-7018 117 3 of of IN en-wikipedia-org-7018 117 4 a a DT en-wikipedia-org-7018 117 5 Pareto Pareto NNP en-wikipedia-org-7018 117 6 inefficient inefficient JJ en-wikipedia-org-7018 117 7 distribution distribution NN en-wikipedia-org-7018 117 8 of of IN en-wikipedia-org-7018 117 9 the the DT en-wikipedia-org-7018 117 10 pie pie NN en-wikipedia-org-7018 117 11 would would MD en-wikipedia-org-7018 117 12 be be VB en-wikipedia-org-7018 117 13 allocation allocation NN en-wikipedia-org-7018 117 14 of of IN en-wikipedia-org-7018 117 15 a a DT en-wikipedia-org-7018 117 16 quarter quarter NN en-wikipedia-org-7018 117 17 of of IN en-wikipedia-org-7018 117 18 the the DT en-wikipedia-org-7018 117 19 pie pie NN en-wikipedia-org-7018 117 20 to to IN en-wikipedia-org-7018 117 21 each each DT en-wikipedia-org-7018 117 22 of of IN en-wikipedia-org-7018 117 23 the the DT en-wikipedia-org-7018 117 24 three three CD en-wikipedia-org-7018 117 25 , , , en-wikipedia-org-7018 117 26 with with IN en-wikipedia-org-7018 117 27 the the DT en-wikipedia-org-7018 117 28 remainder remainder NN en-wikipedia-org-7018 117 29 discarded discard VBN en-wikipedia-org-7018 117 30 . . . en-wikipedia-org-7018 118 1 [ [ -LRB- en-wikipedia-org-7018 118 2 34]:18 34]:18 CD en-wikipedia-org-7018 118 3 The the DT en-wikipedia-org-7018 118 4 liberal liberal JJ en-wikipedia-org-7018 118 5 paradox paradox NN en-wikipedia-org-7018 118 6 elaborated elaborate VBN en-wikipedia-org-7018 118 7 by by IN en-wikipedia-org-7018 118 8 Amartya Amartya NNP en-wikipedia-org-7018 118 9 Sen Sen NNP en-wikipedia-org-7018 118 10 shows show VBZ en-wikipedia-org-7018 118 11 that that IN en-wikipedia-org-7018 118 12 when when WRB en-wikipedia-org-7018 118 13 people people NNS en-wikipedia-org-7018 118 14 have have VBP en-wikipedia-org-7018 118 15 preferences preference NNS en-wikipedia-org-7018 118 16 about about IN en-wikipedia-org-7018 118 17 what what WP en-wikipedia-org-7018 118 18 other other JJ en-wikipedia-org-7018 118 19 people people NNS en-wikipedia-org-7018 118 20 do do VBP en-wikipedia-org-7018 118 21 , , , en-wikipedia-org-7018 118 22 the the DT en-wikipedia-org-7018 118 23 goal goal NN en-wikipedia-org-7018 118 24 of of IN en-wikipedia-org-7018 118 25 Pareto Pareto NNP en-wikipedia-org-7018 118 26 efficiency efficiency NN en-wikipedia-org-7018 118 27 can can MD en-wikipedia-org-7018 118 28 come come VB en-wikipedia-org-7018 118 29 into into IN en-wikipedia-org-7018 118 30 conflict conflict NN en-wikipedia-org-7018 118 31 with with IN en-wikipedia-org-7018 118 32 the the DT en-wikipedia-org-7018 118 33 goal goal NN en-wikipedia-org-7018 118 34 of of IN en-wikipedia-org-7018 118 35 individual individual JJ en-wikipedia-org-7018 118 36 liberty liberty NN en-wikipedia-org-7018 118 37 . . . en-wikipedia-org-7018 119 1 [ [ -LRB- en-wikipedia-org-7018 119 2 35]:92–94 35]:92–94 CD en-wikipedia-org-7018 119 3 Lastly Lastly NNP en-wikipedia-org-7018 119 4 , , , en-wikipedia-org-7018 119 5 it -PRON- PRP en-wikipedia-org-7018 119 6 is be VBZ en-wikipedia-org-7018 119 7 proposed propose VBN en-wikipedia-org-7018 119 8 that that IN en-wikipedia-org-7018 119 9 Pareto Pareto NNP en-wikipedia-org-7018 119 10 efficiency efficiency NN en-wikipedia-org-7018 119 11 to to IN en-wikipedia-org-7018 119 12 some some DT en-wikipedia-org-7018 119 13 extent extent NN en-wikipedia-org-7018 119 14 inhibited inhibit VBN en-wikipedia-org-7018 119 15 discussion discussion NN en-wikipedia-org-7018 119 16 of of IN en-wikipedia-org-7018 119 17 other other JJ en-wikipedia-org-7018 119 18 possible possible JJ en-wikipedia-org-7018 119 19 criteria criterion NNS en-wikipedia-org-7018 119 20 of of IN en-wikipedia-org-7018 119 21 efficiency efficiency NN en-wikipedia-org-7018 119 22 . . . en-wikipedia-org-7018 120 1 As as IN en-wikipedia-org-7018 120 2 the the DT en-wikipedia-org-7018 120 3 scholar scholar NN en-wikipedia-org-7018 120 4 Lockhood Lockhood NNP en-wikipedia-org-7018 120 5 argues argue VBZ en-wikipedia-org-7018 120 6 , , , en-wikipedia-org-7018 120 7 one one CD en-wikipedia-org-7018 120 8 possible possible JJ en-wikipedia-org-7018 120 9 reason reason NN en-wikipedia-org-7018 120 10 is be VBZ en-wikipedia-org-7018 120 11 that that IN en-wikipedia-org-7018 120 12 any any DT en-wikipedia-org-7018 120 13 other other JJ en-wikipedia-org-7018 120 14 efficiency efficiency NN en-wikipedia-org-7018 120 15 criteria criterion NNS en-wikipedia-org-7018 120 16 established establish VBN en-wikipedia-org-7018 120 17 in in IN en-wikipedia-org-7018 120 18 the the DT en-wikipedia-org-7018 120 19 neoclassical neoclassical JJ en-wikipedia-org-7018 120 20 domain domain NN en-wikipedia-org-7018 120 21 will will MD en-wikipedia-org-7018 120 22 reduce reduce VB en-wikipedia-org-7018 120 23 to to IN en-wikipedia-org-7018 120 24 Pareto Pareto NNP en-wikipedia-org-7018 120 25 efficiency efficiency NN en-wikipedia-org-7018 120 26 at at IN en-wikipedia-org-7018 120 27 the the DT en-wikipedia-org-7018 120 28 end end NN en-wikipedia-org-7018 120 29 . . . en-wikipedia-org-7018 121 1 [ [ -LRB- en-wikipedia-org-7018 121 2 36 36 CD en-wikipedia-org-7018 121 3 ] ] -RRB- en-wikipedia-org-7018 121 4 See see VB en-wikipedia-org-7018 121 5 also[edit also[edit CD en-wikipedia-org-7018 121 6 ] ] -RRB- en-wikipedia-org-7018 121 7 Admissible admissible JJ en-wikipedia-org-7018 121 8 decision decision NN en-wikipedia-org-7018 121 9 rule rule NN en-wikipedia-org-7018 121 10 , , , en-wikipedia-org-7018 121 11 analog analog VB en-wikipedia-org-7018 121 12 in in IN en-wikipedia-org-7018 121 13 decision decision NN en-wikipedia-org-7018 121 14 theory theory NN en-wikipedia-org-7018 121 15 Arrow Arrow NNP en-wikipedia-org-7018 121 16 's 's POS en-wikipedia-org-7018 121 17 impossibility impossibility NN en-wikipedia-org-7018 121 18 theorem theorem VBG en-wikipedia-org-7018 121 19 Bayesian bayesian JJ en-wikipedia-org-7018 121 20 efficiency efficiency NN en-wikipedia-org-7018 121 21 Fundamental fundamental JJ en-wikipedia-org-7018 121 22 theorems theorem NNS en-wikipedia-org-7018 121 23 of of IN en-wikipedia-org-7018 121 24 welfare welfare NN en-wikipedia-org-7018 121 25 economics economic NNS en-wikipedia-org-7018 121 26 Deadweight Deadweight NNP en-wikipedia-org-7018 121 27 loss loss NN en-wikipedia-org-7018 121 28 Economic economic JJ en-wikipedia-org-7018 121 29 efficiency efficiency NN en-wikipedia-org-7018 121 30 Highest Highest NNP en-wikipedia-org-7018 121 31 and and CC en-wikipedia-org-7018 121 32 best good JJS en-wikipedia-org-7018 121 33 use use VBP en-wikipedia-org-7018 121 34 Kaldor Kaldor NNP en-wikipedia-org-7018 121 35 – – : en-wikipedia-org-7018 121 36 Hicks Hicks NNP en-wikipedia-org-7018 121 37 efficiency efficiency NN en-wikipedia-org-7018 121 38 Market market NN en-wikipedia-org-7018 121 39 failure failure NN en-wikipedia-org-7018 121 40 , , , en-wikipedia-org-7018 121 41 when when WRB en-wikipedia-org-7018 121 42 a a DT en-wikipedia-org-7018 121 43 market market NN en-wikipedia-org-7018 121 44 result result NN en-wikipedia-org-7018 121 45 is be VBZ en-wikipedia-org-7018 121 46 not not RB en-wikipedia-org-7018 121 47 Pareto Pareto NNP en-wikipedia-org-7018 121 48 optimal optimal JJ en-wikipedia-org-7018 121 49 Maximal Maximal NNP en-wikipedia-org-7018 121 50 element element NN en-wikipedia-org-7018 121 51 , , , en-wikipedia-org-7018 121 52 concept concept NN en-wikipedia-org-7018 121 53 in in IN en-wikipedia-org-7018 121 54 order order NN en-wikipedia-org-7018 121 55 theory theory NN en-wikipedia-org-7018 121 56 Maxima Maxima NNP en-wikipedia-org-7018 121 57 of of IN en-wikipedia-org-7018 121 58 a a DT en-wikipedia-org-7018 121 59 point point NN en-wikipedia-org-7018 121 60 set set VBN en-wikipedia-org-7018 121 61 Multi multi JJ en-wikipedia-org-7018 121 62 - - JJ en-wikipedia-org-7018 121 63 objective objective JJ en-wikipedia-org-7018 121 64 optimization optimization NN en-wikipedia-org-7018 121 65 Pareto Pareto NNP en-wikipedia-org-7018 121 66 - - HYPH en-wikipedia-org-7018 121 67 efficient efficient JJ en-wikipedia-org-7018 121 68 envy envy NN en-wikipedia-org-7018 121 69 - - HYPH en-wikipedia-org-7018 121 70 free free JJ en-wikipedia-org-7018 121 71 division division NN en-wikipedia-org-7018 121 72 Social Social NNP en-wikipedia-org-7018 121 73 Choice Choice NNP en-wikipedia-org-7018 121 74 and and CC en-wikipedia-org-7018 121 75 Individual Individual NNP en-wikipedia-org-7018 121 76 Values value NNS en-wikipedia-org-7018 121 77 for for IN en-wikipedia-org-7018 121 78 the the DT en-wikipedia-org-7018 121 79 ' ' '' en-wikipedia-org-7018 121 80 ( ( -LRB- en-wikipedia-org-7018 121 81 weak weak JJ en-wikipedia-org-7018 121 82 ) ) -RRB- en-wikipedia-org-7018 121 83 Pareto Pareto NNP en-wikipedia-org-7018 121 84 principle principle NN en-wikipedia-org-7018 121 85 ' ' '' en-wikipedia-org-7018 121 86 TOTREP TOTREP NNP en-wikipedia-org-7018 121 87 Welfare Welfare NNP en-wikipedia-org-7018 121 88 economics economic NNS en-wikipedia-org-7018 121 89 References[edit references[edit NN en-wikipedia-org-7018 121 90 ] ] -RRB- en-wikipedia-org-7018 121 91 ^ ^ FW en-wikipedia-org-7018 121 92 proximedia proximedia NNP en-wikipedia-org-7018 121 93 . . . en-wikipedia-org-7018 122 1 " " `` en-wikipedia-org-7018 122 2 Pareto Pareto NNP en-wikipedia-org-7018 122 3 Front Front NNP en-wikipedia-org-7018 122 4 " " '' en-wikipedia-org-7018 122 5 . . . en-wikipedia-org-7018 123 1 www.cenaero.be www.cenaero.be NNP en-wikipedia-org-7018 123 2 . . . en-wikipedia-org-7018 124 1 Retrieved Retrieved NNP en-wikipedia-org-7018 124 2 October October NNP en-wikipedia-org-7018 124 3 8 8 CD en-wikipedia-org-7018 124 4 , , , en-wikipedia-org-7018 124 5 2018 2018 CD en-wikipedia-org-7018 124 6 . . . en-wikipedia-org-7018 125 1 ^ ^ NNP en-wikipedia-org-7018 125 2 Lockwood Lockwood NNP en-wikipedia-org-7018 125 3 , , , en-wikipedia-org-7018 125 4 B. B. NNP en-wikipedia-org-7018 126 1 ( ( -LRB- en-wikipedia-org-7018 126 2 2008 2008 CD en-wikipedia-org-7018 126 3 ) ) -RRB- en-wikipedia-org-7018 126 4 . . . en-wikipedia-org-7018 127 1 The the DT en-wikipedia-org-7018 127 2 New New NNP en-wikipedia-org-7018 127 3 Palgrave Palgrave NNP en-wikipedia-org-7018 127 4 Dictionary Dictionary NNP en-wikipedia-org-7018 127 5 of of IN en-wikipedia-org-7018 127 6 Economics Economics NNP en-wikipedia-org-7018 127 7 ( ( -LRB- en-wikipedia-org-7018 127 8 2nd 2nd NNP en-wikipedia-org-7018 127 9 ed ed NNP en-wikipedia-org-7018 127 10 . . . en-wikipedia-org-7018 127 11 ) ) -RRB- en-wikipedia-org-7018 127 12 . . . en-wikipedia-org-7018 128 1 London London NNP en-wikipedia-org-7018 128 2 : : : en-wikipedia-org-7018 128 3 Palgrave Palgrave NNP en-wikipedia-org-7018 128 4 Macmillan Macmillan NNP en-wikipedia-org-7018 128 5 . . . en-wikipedia-org-7018 129 1 ISBN ISBN NNP en-wikipedia-org-7018 129 2   _SP en-wikipedia-org-7018 129 3 978 978 CD en-wikipedia-org-7018 129 4 - - HYPH en-wikipedia-org-7018 129 5 1 1 CD en-wikipedia-org-7018 129 6 - - HYPH en-wikipedia-org-7018 129 7 349 349 CD en-wikipedia-org-7018 129 8 - - HYPH en-wikipedia-org-7018 129 9 95121 95121 CD en-wikipedia-org-7018 129 10 - - HYPH en-wikipedia-org-7018 129 11 5 5 CD en-wikipedia-org-7018 129 12 . . . en-wikipedia-org-7018 130 1 ^ ^ NNP en-wikipedia-org-7018 130 2 Black Black NNP en-wikipedia-org-7018 130 3 , , , en-wikipedia-org-7018 130 4 J. J. NNP en-wikipedia-org-7018 130 5 D. D. NNP en-wikipedia-org-7018 130 6 , , , en-wikipedia-org-7018 130 7 Hashimzade Hashimzade NNP en-wikipedia-org-7018 130 8 , , , en-wikipedia-org-7018 130 9 N. N. NNP en-wikipedia-org-7018 130 10 , , , en-wikipedia-org-7018 130 11 & & CC en-wikipedia-org-7018 130 12 Myles Myles NNP en-wikipedia-org-7018 130 13 , , , en-wikipedia-org-7018 130 14 G. G. NNP en-wikipedia-org-7018 130 15 , , , en-wikipedia-org-7018 130 16 eds eds NNP en-wikipedia-org-7018 130 17 . . NNP en-wikipedia-org-7018 130 18 , , , en-wikipedia-org-7018 130 19 A a DT en-wikipedia-org-7018 130 20 Dictionary Dictionary NNP en-wikipedia-org-7018 130 21 of of IN en-wikipedia-org-7018 130 22 Economics Economics NNP en-wikipedia-org-7018 130 23 , , , en-wikipedia-org-7018 130 24 5th 5th JJ en-wikipedia-org-7018 130 25 ed ed NN en-wikipedia-org-7018 130 26 . . . en-wikipedia-org-7018 131 1 ( ( -LRB- en-wikipedia-org-7018 131 2 Oxford Oxford NNP en-wikipedia-org-7018 131 3 : : : en-wikipedia-org-7018 131 4 Oxford Oxford NNP en-wikipedia-org-7018 131 5 University University NNP en-wikipedia-org-7018 131 6 Press Press NNP en-wikipedia-org-7018 131 7 , , , en-wikipedia-org-7018 131 8 2017 2017 CD en-wikipedia-org-7018 131 9 ) ) -RRB- en-wikipedia-org-7018 131 10 , , , en-wikipedia-org-7018 131 11 p. p. NN en-wikipedia-org-7018 131 12 459 459 CD en-wikipedia-org-7018 131 13 . . . en-wikipedia-org-7018 132 1 ^ ^ NNP en-wikipedia-org-7018 132 2 a a DT en-wikipedia-org-7018 132 3 b b NNP en-wikipedia-org-7018 132 4 Mas Mas NNP en-wikipedia-org-7018 132 5 - - HYPH en-wikipedia-org-7018 132 6 Colell Colell NNP en-wikipedia-org-7018 132 7 , , , en-wikipedia-org-7018 132 8 A. a. NN en-wikipedia-org-7018 132 9 ; ; : en-wikipedia-org-7018 132 10 Whinston Whinston NNP en-wikipedia-org-7018 132 11 , , , en-wikipedia-org-7018 132 12 Michael Michael NNP en-wikipedia-org-7018 132 13 D. D. NNP en-wikipedia-org-7018 132 14 ; ; : en-wikipedia-org-7018 132 15 Green Green NNP en-wikipedia-org-7018 132 16 , , , en-wikipedia-org-7018 132 17 Jerry Jerry NNP en-wikipedia-org-7018 132 18 R. R. NNP en-wikipedia-org-7018 132 19 ( ( -LRB- en-wikipedia-org-7018 132 20 1995 1995 CD en-wikipedia-org-7018 132 21 ) ) -RRB- en-wikipedia-org-7018 132 22 , , , en-wikipedia-org-7018 132 23 " " `` en-wikipedia-org-7018 132 24 Chapter chapter NN en-wikipedia-org-7018 132 25 16 16 CD en-wikipedia-org-7018 132 26 : : : en-wikipedia-org-7018 132 27 Equilibrium equilibrium NN en-wikipedia-org-7018 132 28 and and CC en-wikipedia-org-7018 132 29 its -PRON- PRP$ en-wikipedia-org-7018 132 30 Basic Basic NNP en-wikipedia-org-7018 132 31 Welfare Welfare NNP en-wikipedia-org-7018 132 32 Properties Properties NNPS en-wikipedia-org-7018 132 33 " " '' en-wikipedia-org-7018 132 34 , , , en-wikipedia-org-7018 132 35 Microeconomic Microeconomic NNP en-wikipedia-org-7018 132 36 Theory Theory NNP en-wikipedia-org-7018 132 37 , , , en-wikipedia-org-7018 132 38 Oxford Oxford NNP en-wikipedia-org-7018 132 39 University University NNP en-wikipedia-org-7018 132 40 Press Press NNP en-wikipedia-org-7018 132 41 , , , en-wikipedia-org-7018 132 42 ISBN ISBN NNP en-wikipedia-org-7018 132 43   _SP en-wikipedia-org-7018 132 44 978 978 CD en-wikipedia-org-7018 132 45 - - HYPH en-wikipedia-org-7018 132 46 0 0 CD en-wikipedia-org-7018 132 47 - - HYPH en-wikipedia-org-7018 132 48 19 19 CD en-wikipedia-org-7018 132 49 - - HYPH en-wikipedia-org-7018 132 50 510268 510268 CD en-wikipedia-org-7018 132 51 - - SYM en-wikipedia-org-7018 132 52 0 0 CD en-wikipedia-org-7018 132 53 ^ ^ . en-wikipedia-org-7018 132 54 Gerard Gerard NNP en-wikipedia-org-7018 132 55 , , , en-wikipedia-org-7018 132 56 Debreu Debreu NNP en-wikipedia-org-7018 132 57 ( ( -LRB- en-wikipedia-org-7018 132 58 1959 1959 CD en-wikipedia-org-7018 132 59 ) ) -RRB- en-wikipedia-org-7018 132 60 . . . en-wikipedia-org-7018 133 1 " " `` en-wikipedia-org-7018 133 2 VALUATION VALUATION NNP en-wikipedia-org-7018 133 3 EQUILIBRIUM EQUILIBRIUM NNP en-wikipedia-org-7018 133 4 AND and CC en-wikipedia-org-7018 133 5 PARETO PARETO NNP en-wikipedia-org-7018 133 6 OPTIMUM OPTIMUM NNP en-wikipedia-org-7018 133 7 * * NFP en-wikipedia-org-7018 133 8 " " '' en-wikipedia-org-7018 133 9 . . . en-wikipedia-org-7018 134 1 Proceedings proceeding NNS en-wikipedia-org-7018 134 2 of of IN en-wikipedia-org-7018 134 3 the the DT en-wikipedia-org-7018 134 4 National National NNP en-wikipedia-org-7018 134 5 Academy Academy NNP en-wikipedia-org-7018 134 6 of of IN en-wikipedia-org-7018 134 7 Sciences Sciences NNPS en-wikipedia-org-7018 134 8 of of IN en-wikipedia-org-7018 134 9 the the DT en-wikipedia-org-7018 134 10 United United NNP en-wikipedia-org-7018 134 11 States States NNP en-wikipedia-org-7018 134 12 of of IN en-wikipedia-org-7018 134 13 America America NNP en-wikipedia-org-7018 134 14 . . . en-wikipedia-org-7018 135 1 40 40 CD en-wikipedia-org-7018 135 2 ( ( -LRB- en-wikipedia-org-7018 135 3 7 7 CD en-wikipedia-org-7018 135 4 ) ) -RRB- en-wikipedia-org-7018 135 5 : : : en-wikipedia-org-7018 135 6 588–592 588–592 CD en-wikipedia-org-7018 135 7 . . . en-wikipedia-org-7018 136 1 doi:10.1073 doi:10.1073 NNP en-wikipedia-org-7018 136 2 / / SYM en-wikipedia-org-7018 136 3 pnas.40.7.588 pnas.40.7.588 NNS en-wikipedia-org-7018 136 4 . . . en-wikipedia-org-7018 137 1 ^ ^ NNP en-wikipedia-org-7018 137 2 Greenwald Greenwald NNP en-wikipedia-org-7018 137 3 , , , en-wikipedia-org-7018 137 4 B. B. NNP en-wikipedia-org-7018 137 5 ; ; : en-wikipedia-org-7018 137 6 Stiglitz Stiglitz NNP en-wikipedia-org-7018 137 7 , , , en-wikipedia-org-7018 137 8 J. J. NNP en-wikipedia-org-7018 137 9 E. E. NNP en-wikipedia-org-7018 137 10 ( ( -LRB- en-wikipedia-org-7018 137 11 1986 1986 CD en-wikipedia-org-7018 137 12 ) ) -RRB- en-wikipedia-org-7018 137 13 . . . en-wikipedia-org-7018 138 1 " " `` en-wikipedia-org-7018 138 2 Externalities externality NNS en-wikipedia-org-7018 138 3 in in IN en-wikipedia-org-7018 138 4 economies economy NNS en-wikipedia-org-7018 138 5 with with IN en-wikipedia-org-7018 138 6 imperfect imperfect JJ en-wikipedia-org-7018 138 7 information information NN en-wikipedia-org-7018 138 8 and and CC en-wikipedia-org-7018 138 9 incomplete incomplete JJ en-wikipedia-org-7018 138 10 markets market NNS en-wikipedia-org-7018 138 11 " " '' en-wikipedia-org-7018 138 12 . . . en-wikipedia-org-7018 139 1 Quarterly Quarterly NNP en-wikipedia-org-7018 139 2 Journal Journal NNP en-wikipedia-org-7018 139 3 of of IN en-wikipedia-org-7018 139 4 Economics Economics NNP en-wikipedia-org-7018 139 5 . . . en-wikipedia-org-7018 140 1 101 101 CD en-wikipedia-org-7018 140 2 ( ( -LRB- en-wikipedia-org-7018 140 3 2 2 CD en-wikipedia-org-7018 140 4 ) ) -RRB- en-wikipedia-org-7018 140 5 : : : en-wikipedia-org-7018 140 6 229–64 229–64 CD en-wikipedia-org-7018 140 7 . . . en-wikipedia-org-7018 141 1 doi:10.2307/1891114 doi:10.2307/1891114 NNP en-wikipedia-org-7018 141 2 . . . en-wikipedia-org-7018 142 1 JSTOR JSTOR NNP en-wikipedia-org-7018 142 2   _SP en-wikipedia-org-7018 142 3 1891114 1891114 CD en-wikipedia-org-7018 142 4 . . . en-wikipedia-org-7018 143 1 ^ ^ NNP en-wikipedia-org-7018 143 2 Mock Mock NNP en-wikipedia-org-7018 143 3 , , , en-wikipedia-org-7018 143 4 William William NNP en-wikipedia-org-7018 143 5 B B NNP en-wikipedia-org-7018 143 6 T. T. NNP en-wikipedia-org-7018 143 7 ( ( -LRB- en-wikipedia-org-7018 143 8 2011 2011 CD en-wikipedia-org-7018 143 9 ) ) -RRB- en-wikipedia-org-7018 143 10 . . . en-wikipedia-org-7018 144 1 " " `` en-wikipedia-org-7018 144 2 Pareto Pareto NNP en-wikipedia-org-7018 144 3 Optimality Optimality NNP en-wikipedia-org-7018 144 4 " " '' en-wikipedia-org-7018 144 5 . . . en-wikipedia-org-7018 145 1 Encyclopedia Encyclopedia NNP en-wikipedia-org-7018 145 2 of of IN en-wikipedia-org-7018 145 3 Global Global NNP en-wikipedia-org-7018 145 4 Justice Justice NNP en-wikipedia-org-7018 145 5 . . . en-wikipedia-org-7018 146 1 pp pp NNP en-wikipedia-org-7018 146 2 . . . en-wikipedia-org-7018 147 1 808–809 808–809 CD en-wikipedia-org-7018 147 2 . . . en-wikipedia-org-7018 148 1 doi:10.1007/978 doi:10.1007/978 NNP en-wikipedia-org-7018 148 2 - - HYPH en-wikipedia-org-7018 148 3 1 1 CD en-wikipedia-org-7018 148 4 - - HYPH en-wikipedia-org-7018 148 5 4020 4020 CD en-wikipedia-org-7018 148 6 - - HYPH en-wikipedia-org-7018 148 7 9160 9160 CD en-wikipedia-org-7018 148 8 - - HYPH en-wikipedia-org-7018 148 9 5_341 5_341 CD en-wikipedia-org-7018 148 10 . . . en-wikipedia-org-7018 149 1 ISBN ISBN NNP en-wikipedia-org-7018 149 2   _SP en-wikipedia-org-7018 149 3 978 978 CD en-wikipedia-org-7018 149 4 - - HYPH en-wikipedia-org-7018 149 5 1 1 CD en-wikipedia-org-7018 149 6 - - HYPH en-wikipedia-org-7018 149 7 4020 4020 CD en-wikipedia-org-7018 149 8 - - HYPH en-wikipedia-org-7018 149 9 9159 9159 CD en-wikipedia-org-7018 149 10 - - SYM en-wikipedia-org-7018 149 11 9 9 CD en-wikipedia-org-7018 149 12 . . . en-wikipedia-org-7018 150 1 ^ ^ NN en-wikipedia-org-7018 150 2 Markey‐Towler markey‐towler NN en-wikipedia-org-7018 150 3 , , , en-wikipedia-org-7018 150 4 Brendan Brendan NNP en-wikipedia-org-7018 150 5 and and CC en-wikipedia-org-7018 150 6 John John NNP en-wikipedia-org-7018 150 7 Foster Foster NNP en-wikipedia-org-7018 150 8 . . . en-wikipedia-org-7018 151 1 " " `` en-wikipedia-org-7018 151 2 Why why WRB en-wikipedia-org-7018 151 3 economic economic JJ en-wikipedia-org-7018 151 4 theory theory NN en-wikipedia-org-7018 151 5 has have VBZ en-wikipedia-org-7018 151 6 little little JJ en-wikipedia-org-7018 151 7 to to TO en-wikipedia-org-7018 151 8 say say VB en-wikipedia-org-7018 151 9 about about IN en-wikipedia-org-7018 151 10 the the DT en-wikipedia-org-7018 151 11 causes cause NNS en-wikipedia-org-7018 151 12 and and CC en-wikipedia-org-7018 151 13 effects effect NNS en-wikipedia-org-7018 151 14 of of IN en-wikipedia-org-7018 151 15 inequality inequality NN en-wikipedia-org-7018 151 16 " " '' en-wikipedia-org-7018 151 17 , , , en-wikipedia-org-7018 151 18 School School NNP en-wikipedia-org-7018 151 19 of of IN en-wikipedia-org-7018 151 20 Economics Economics NNP en-wikipedia-org-7018 151 21 , , , en-wikipedia-org-7018 151 22 University University NNP en-wikipedia-org-7018 151 23 of of IN en-wikipedia-org-7018 151 24 Queensland Queensland NNP en-wikipedia-org-7018 151 25 , , , en-wikipedia-org-7018 151 26 Australia Australia NNP en-wikipedia-org-7018 151 27 , , , en-wikipedia-org-7018 151 28 21 21 CD en-wikipedia-org-7018 151 29 February February NNP en-wikipedia-org-7018 151 30 2013 2013 CD en-wikipedia-org-7018 151 31 , , , en-wikipedia-org-7018 151 32 RePEc RePEc NNP en-wikipedia-org-7018 151 33 : : : en-wikipedia-org-7018 151 34 qld qld NNP en-wikipedia-org-7018 151 35 : : : en-wikipedia-org-7018 151 36 uq2004:476 uq2004:476 NNP en-wikipedia-org-7018 151 37 ^ ^ NN en-wikipedia-org-7018 151 38 Magill Magill NNP en-wikipedia-org-7018 151 39 , , , en-wikipedia-org-7018 151 40 M. M. NNP en-wikipedia-org-7018 151 41 , , , en-wikipedia-org-7018 151 42 & & CC en-wikipedia-org-7018 151 43 Quinzii Quinzii NNP en-wikipedia-org-7018 151 44 , , , en-wikipedia-org-7018 151 45 M. M. NNP en-wikipedia-org-7018 151 46 , , , en-wikipedia-org-7018 151 47 Theory Theory NNP en-wikipedia-org-7018 151 48 of of IN en-wikipedia-org-7018 151 49 Incomplete Incomplete NNP en-wikipedia-org-7018 151 50 Markets Markets NNPS en-wikipedia-org-7018 151 51 , , , en-wikipedia-org-7018 151 52 MIT MIT NNP en-wikipedia-org-7018 151 53 Press Press NNP en-wikipedia-org-7018 151 54 , , , en-wikipedia-org-7018 151 55 2002 2002 CD en-wikipedia-org-7018 151 56 , , , en-wikipedia-org-7018 151 57 p. p. NN en-wikipedia-org-7018 151 58 104 104 CD en-wikipedia-org-7018 151 59 . . . en-wikipedia-org-7018 152 1 ^ ^ NNP en-wikipedia-org-7018 152 2 Barman Barman NNP en-wikipedia-org-7018 152 3 , , , en-wikipedia-org-7018 152 4 S. S. NNP en-wikipedia-org-7018 152 5 , , , en-wikipedia-org-7018 152 6 Krishnamurthy Krishnamurthy NNP en-wikipedia-org-7018 152 7 , , , en-wikipedia-org-7018 152 8 S. S. NNP en-wikipedia-org-7018 152 9 K. K. NNP en-wikipedia-org-7018 152 10 , , , en-wikipedia-org-7018 152 11 & & CC en-wikipedia-org-7018 152 12 Vaish Vaish NNP en-wikipedia-org-7018 152 13 , , , en-wikipedia-org-7018 152 14 R. R. NNP en-wikipedia-org-7018 152 15 , , , en-wikipedia-org-7018 152 16 " " `` en-wikipedia-org-7018 152 17 Finding Finding NNP en-wikipedia-org-7018 152 18 Fair Fair NNP en-wikipedia-org-7018 152 19 and and CC en-wikipedia-org-7018 152 20 Efficient Efficient NNP en-wikipedia-org-7018 152 21 Allocations Allocations NNPS en-wikipedia-org-7018 152 22 " " '' en-wikipedia-org-7018 152 23 , , , en-wikipedia-org-7018 152 24 EC EC NNP en-wikipedia-org-7018 152 25 ' ' POS en-wikipedia-org-7018 152 26 18 18 CD en-wikipedia-org-7018 152 27 : : : en-wikipedia-org-7018 152 28 Proceedings proceeding NNS en-wikipedia-org-7018 152 29 of of IN en-wikipedia-org-7018 152 30 the the DT en-wikipedia-org-7018 152 31 2018 2018 CD en-wikipedia-org-7018 152 32 ACM ACM NNP en-wikipedia-org-7018 152 33 Conference Conference NNP en-wikipedia-org-7018 152 34 on on IN en-wikipedia-org-7018 152 35 Economics Economics NNP en-wikipedia-org-7018 152 36 and and CC en-wikipedia-org-7018 152 37 Computation Computation NNP en-wikipedia-org-7018 152 38 , , , en-wikipedia-org-7018 152 39 June June NNP en-wikipedia-org-7018 152 40 2018 2018 CD en-wikipedia-org-7018 152 41 . . . en-wikipedia-org-7018 153 1 ^ ^ NNP en-wikipedia-org-7018 153 2 Negishi Negishi NNP en-wikipedia-org-7018 153 3 , , , en-wikipedia-org-7018 153 4 Takashi Takashi NNP en-wikipedia-org-7018 153 5 ( ( -LRB- en-wikipedia-org-7018 153 6 1960 1960 CD en-wikipedia-org-7018 153 7 ) ) -RRB- en-wikipedia-org-7018 153 8 . . . en-wikipedia-org-7018 154 1 " " `` en-wikipedia-org-7018 154 2 Welfare Welfare NNP en-wikipedia-org-7018 154 3 Economics Economics NNP en-wikipedia-org-7018 154 4 and and CC en-wikipedia-org-7018 154 5 Existence Existence NNP en-wikipedia-org-7018 154 6 of of IN en-wikipedia-org-7018 154 7 an an DT en-wikipedia-org-7018 154 8 Equilibrium equilibrium NN en-wikipedia-org-7018 154 9 for for IN en-wikipedia-org-7018 154 10 a a DT en-wikipedia-org-7018 154 11 Competitive competitive JJ en-wikipedia-org-7018 154 12 Economy Economy NNP en-wikipedia-org-7018 154 13 " " '' en-wikipedia-org-7018 154 14 . . . en-wikipedia-org-7018 155 1 Metroeconomica Metroeconomica NNP en-wikipedia-org-7018 155 2 . . . en-wikipedia-org-7018 156 1 12 12 CD en-wikipedia-org-7018 156 2 ( ( -LRB- en-wikipedia-org-7018 156 3 2–3 2–3 CD en-wikipedia-org-7018 156 4 ) ) -RRB- en-wikipedia-org-7018 156 5 : : : en-wikipedia-org-7018 156 6 92–97 92–97 CD en-wikipedia-org-7018 156 7 . . . en-wikipedia-org-7018 157 1 doi:10.1111 doi:10.1111 NNP en-wikipedia-org-7018 157 2 / / SYM en-wikipedia-org-7018 157 3 j.1467 j.1467 NNP en-wikipedia-org-7018 157 4 - - HYPH en-wikipedia-org-7018 157 5 999X.1960.tb00275.x 999X.1960.tb00275.x NNP en-wikipedia-org-7018 157 6 . . . en-wikipedia-org-7018 158 1 ^ ^ NNP en-wikipedia-org-7018 158 2 Varian Varian NNP en-wikipedia-org-7018 158 3 , , , en-wikipedia-org-7018 158 4 Hal Hal NNP en-wikipedia-org-7018 158 5 R. R. NNP en-wikipedia-org-7018 158 6 ( ( -LRB- en-wikipedia-org-7018 158 7 1976 1976 CD en-wikipedia-org-7018 158 8 ) ) -RRB- en-wikipedia-org-7018 158 9 . . . en-wikipedia-org-7018 159 1 " " `` en-wikipedia-org-7018 159 2 Two two CD en-wikipedia-org-7018 159 3 problems problem NNS en-wikipedia-org-7018 159 4 in in IN en-wikipedia-org-7018 159 5 the the DT en-wikipedia-org-7018 159 6 theory theory NN en-wikipedia-org-7018 159 7 of of IN en-wikipedia-org-7018 159 8 fairness fairness NN en-wikipedia-org-7018 159 9 " " '' en-wikipedia-org-7018 159 10 . . . en-wikipedia-org-7018 160 1 Journal Journal NNP en-wikipedia-org-7018 160 2 of of IN en-wikipedia-org-7018 160 3 Public Public NNP en-wikipedia-org-7018 160 4 Economics Economics NNP en-wikipedia-org-7018 160 5 . . . en-wikipedia-org-7018 161 1 5 5 CD en-wikipedia-org-7018 161 2 ( ( -LRB- en-wikipedia-org-7018 161 3 3–4 3–4 CD en-wikipedia-org-7018 161 4 ) ) -RRB- en-wikipedia-org-7018 161 5 : : : en-wikipedia-org-7018 161 6 249–260 249–260 CD en-wikipedia-org-7018 161 7 . . . en-wikipedia-org-7018 162 1 doi:10.1016/0047 doi:10.1016/0047 NNS en-wikipedia-org-7018 162 2 - - HYPH en-wikipedia-org-7018 162 3 2727(76)90018 2727(76)90018 NNP en-wikipedia-org-7018 162 4 - - HYPH en-wikipedia-org-7018 162 5 9 9 CD en-wikipedia-org-7018 162 6 . . . en-wikipedia-org-7018 162 7 hdl:1721.1/64180 hdl:1721.1/64180 NNP en-wikipedia-org-7018 162 8 . . . en-wikipedia-org-7018 163 1 ^ ^ NNP en-wikipedia-org-7018 163 2 Goodarzi Goodarzi NNP en-wikipedia-org-7018 163 3 , , , en-wikipedia-org-7018 163 4 E. E. NNP en-wikipedia-org-7018 163 5 , , , en-wikipedia-org-7018 163 6 Ziaei Ziaei NNP en-wikipedia-org-7018 163 7 , , , en-wikipedia-org-7018 163 8 M. M. NNP en-wikipedia-org-7018 163 9 , , , en-wikipedia-org-7018 163 10 & & CC en-wikipedia-org-7018 163 11 Hosseinipour Hosseinipour NNP en-wikipedia-org-7018 163 12 , , , en-wikipedia-org-7018 163 13 E. E. NNP en-wikipedia-org-7018 163 14 Z. Z. NNP en-wikipedia-org-7018 163 15 , , , en-wikipedia-org-7018 163 16 Introduction introduction NN en-wikipedia-org-7018 163 17 to to IN en-wikipedia-org-7018 163 18 Optimization Optimization NNP en-wikipedia-org-7018 163 19 Analysis Analysis NNP en-wikipedia-org-7018 163 20 in in IN en-wikipedia-org-7018 163 21 Hydrosystem Hydrosystem NNP en-wikipedia-org-7018 163 22 Engineering Engineering NNP en-wikipedia-org-7018 163 23 ( ( -LRB- en-wikipedia-org-7018 163 24 Berlin Berlin NNP en-wikipedia-org-7018 163 25 / / SYM en-wikipedia-org-7018 163 26 Heidelberg Heidelberg NNP en-wikipedia-org-7018 163 27 : : : en-wikipedia-org-7018 163 28 Springer Springer NNP en-wikipedia-org-7018 163 29 , , , en-wikipedia-org-7018 163 30 2014 2014 CD en-wikipedia-org-7018 163 31 ) ) -RRB- en-wikipedia-org-7018 163 32 , , , en-wikipedia-org-7018 163 33 pp pp NNP en-wikipedia-org-7018 163 34 . . . en-wikipedia-org-7018 164 1 111–148 111–148 CD en-wikipedia-org-7018 164 2 . . . en-wikipedia-org-7018 165 1 ^ ^ NNP en-wikipedia-org-7018 165 2 Jahan Jahan NNP en-wikipedia-org-7018 165 3 , , , en-wikipedia-org-7018 165 4 A. A. NNP en-wikipedia-org-7018 165 5 , , , en-wikipedia-org-7018 165 6 Edwards Edwards NNP en-wikipedia-org-7018 165 7 , , , en-wikipedia-org-7018 165 8 K. K. NNP en-wikipedia-org-7018 165 9 L. L. NNP en-wikipedia-org-7018 165 10 , , , en-wikipedia-org-7018 165 11 & & CC en-wikipedia-org-7018 165 12 Bahraminasab Bahraminasab NNP en-wikipedia-org-7018 165 13 , , , en-wikipedia-org-7018 165 14 M. M. NNP en-wikipedia-org-7018 165 15 , , , en-wikipedia-org-7018 165 16 Multi Multi NNP en-wikipedia-org-7018 165 17 - - HYPH en-wikipedia-org-7018 165 18 criteria criterion NNS en-wikipedia-org-7018 165 19 Decision Decision NNP en-wikipedia-org-7018 165 20 Analysis Analysis NNP en-wikipedia-org-7018 165 21 , , , en-wikipedia-org-7018 165 22 2nd 2nd JJ en-wikipedia-org-7018 165 23 ed ed NN en-wikipedia-org-7018 165 24 . . . en-wikipedia-org-7018 166 1 ( ( -LRB- en-wikipedia-org-7018 166 2 Amsterdam Amsterdam NNP en-wikipedia-org-7018 166 3 : : : en-wikipedia-org-7018 166 4 Elsevier Elsevier NNP en-wikipedia-org-7018 166 5 , , , en-wikipedia-org-7018 166 6 2013 2013 CD en-wikipedia-org-7018 166 7 ) ) -RRB- en-wikipedia-org-7018 166 8 , , , en-wikipedia-org-7018 166 9 pp pp NNP en-wikipedia-org-7018 166 10 . . . en-wikipedia-org-7018 167 1 63–65 63–65 CD en-wikipedia-org-7018 167 2 . . . en-wikipedia-org-7018 168 1 ^ ^ NNP en-wikipedia-org-7018 168 2 Costa Costa NNP en-wikipedia-org-7018 168 3 , , , en-wikipedia-org-7018 168 4 N. N. NNP en-wikipedia-org-7018 168 5 R. R. NNP en-wikipedia-org-7018 168 6 , , , en-wikipedia-org-7018 168 7 & & CC en-wikipedia-org-7018 168 8 Lourenço Lourenço NNP en-wikipedia-org-7018 168 9 , , , en-wikipedia-org-7018 168 10 J. J. NNP en-wikipedia-org-7018 169 1 A. A. NNP en-wikipedia-org-7018 169 2 , , , en-wikipedia-org-7018 169 3 " " `` en-wikipedia-org-7018 169 4 Exploring explore VBG en-wikipedia-org-7018 169 5 Pareto Pareto NNP en-wikipedia-org-7018 169 6 Frontiers Frontiers NNPS en-wikipedia-org-7018 169 7 in in IN en-wikipedia-org-7018 169 8 the the DT en-wikipedia-org-7018 169 9 Response Response NNP en-wikipedia-org-7018 169 10 Surface Surface NNP en-wikipedia-org-7018 169 11 Methodology Methodology NNP en-wikipedia-org-7018 169 12 " " '' en-wikipedia-org-7018 169 13 , , , en-wikipedia-org-7018 169 14 in in IN en-wikipedia-org-7018 169 15 G.-C. G.-C. NNP en-wikipedia-org-7018 169 16 Yang Yang NNP en-wikipedia-org-7018 169 17 , , , en-wikipedia-org-7018 169 18 S.-I. s.-i. XX en-wikipedia-org-7018 170 1 Ao ao UH en-wikipedia-org-7018 170 2 , , , en-wikipedia-org-7018 170 3 & & CC en-wikipedia-org-7018 170 4 L. L. NNP en-wikipedia-org-7018 170 5 Gelman Gelman NNP en-wikipedia-org-7018 170 6 , , , en-wikipedia-org-7018 170 7 eds eds NNP en-wikipedia-org-7018 170 8 . . NNS en-wikipedia-org-7018 170 9 , , , en-wikipedia-org-7018 170 10 Transactions Transactions NNPS en-wikipedia-org-7018 170 11 on on IN en-wikipedia-org-7018 170 12 Engineering Engineering NNP en-wikipedia-org-7018 170 13 Technologies Technologies NNPS en-wikipedia-org-7018 170 14 : : : en-wikipedia-org-7018 170 15 World World NNP en-wikipedia-org-7018 170 16 Congress Congress NNP en-wikipedia-org-7018 170 17 on on IN en-wikipedia-org-7018 170 18 Engineering engineering NN en-wikipedia-org-7018 170 19 2014 2014 CD en-wikipedia-org-7018 170 20 ( ( -LRB- en-wikipedia-org-7018 170 21 Berlin Berlin NNP en-wikipedia-org-7018 170 22 / / SYM en-wikipedia-org-7018 170 23 Heidelberg Heidelberg NNP en-wikipedia-org-7018 170 24 : : : en-wikipedia-org-7018 170 25 Springer Springer NNP en-wikipedia-org-7018 170 26 , , , en-wikipedia-org-7018 170 27 2015 2015 CD en-wikipedia-org-7018 170 28 ) ) -RRB- en-wikipedia-org-7018 170 29 , , , en-wikipedia-org-7018 170 30 pp pp NNP en-wikipedia-org-7018 170 31 . . . en-wikipedia-org-7018 171 1 399–412 399–412 CD en-wikipedia-org-7018 171 2 . . . en-wikipedia-org-7018 172 1 ^ ^ NNP en-wikipedia-org-7018 172 2 Just just RB en-wikipedia-org-7018 172 3 , , , en-wikipedia-org-7018 172 4 Richard Richard NNP en-wikipedia-org-7018 172 5 E. E. NNP en-wikipedia-org-7018 172 6 ( ( -LRB- en-wikipedia-org-7018 172 7 2004 2004 CD en-wikipedia-org-7018 172 8 ) ) -RRB- en-wikipedia-org-7018 172 9 . . . en-wikipedia-org-7018 173 1 The the DT en-wikipedia-org-7018 173 2 welfare welfare NN en-wikipedia-org-7018 173 3 economics economic NNS en-wikipedia-org-7018 173 4 of of IN en-wikipedia-org-7018 173 5 public public JJ en-wikipedia-org-7018 173 6 policy policy NN en-wikipedia-org-7018 173 7   _SP en-wikipedia-org-7018 173 8 : : : en-wikipedia-org-7018 173 9 a a DT en-wikipedia-org-7018 173 10 practical practical JJ en-wikipedia-org-7018 173 11 approach approach NN en-wikipedia-org-7018 173 12 to to IN en-wikipedia-org-7018 173 13 project project NN en-wikipedia-org-7018 173 14 and and CC en-wikipedia-org-7018 173 15 policy policy NN en-wikipedia-org-7018 173 16 evaluation evaluation NN en-wikipedia-org-7018 173 17 . . . en-wikipedia-org-7018 174 1 Hueth Hueth NNP en-wikipedia-org-7018 174 2 , , , en-wikipedia-org-7018 174 3 Darrell Darrell NNP en-wikipedia-org-7018 174 4 L. L. NNP en-wikipedia-org-7018 174 5 , , , en-wikipedia-org-7018 174 6 Schmitz Schmitz NNP en-wikipedia-org-7018 174 7 , , , en-wikipedia-org-7018 174 8 Andrew Andrew NNP en-wikipedia-org-7018 174 9 . . . en-wikipedia-org-7018 175 1 Cheltenham Cheltenham NNP en-wikipedia-org-7018 175 2 , , , en-wikipedia-org-7018 175 3 UK UK NNP en-wikipedia-org-7018 175 4 : : : en-wikipedia-org-7018 175 5 E. E. NNP en-wikipedia-org-7018 175 6 Elgar Elgar NNP en-wikipedia-org-7018 175 7 . . . en-wikipedia-org-7018 176 1 pp pp NNP en-wikipedia-org-7018 176 2 . . . en-wikipedia-org-7018 177 1 18–21 18–21 NNP en-wikipedia-org-7018 177 2 . . . en-wikipedia-org-7018 178 1 ISBN ISBN NNP en-wikipedia-org-7018 178 2   _SP en-wikipedia-org-7018 178 3 1 1 CD en-wikipedia-org-7018 178 4 - - HYPH en-wikipedia-org-7018 178 5 84542 84542 CD en-wikipedia-org-7018 178 6 - - HYPH en-wikipedia-org-7018 178 7 157 157 CD en-wikipedia-org-7018 178 8 - - HYPH en-wikipedia-org-7018 178 9 4 4 CD en-wikipedia-org-7018 178 10 . . . en-wikipedia-org-7018 179 1 OCLC oclc NN en-wikipedia-org-7018 179 2   _SP en-wikipedia-org-7018 179 3 58538348 58538348 CD en-wikipedia-org-7018 179 4 . . . en-wikipedia-org-7018 180 1 ^ ^ NFP en-wikipedia-org-7018 180 2 Tomoiagă Tomoiagă NNP en-wikipedia-org-7018 180 3 , , , en-wikipedia-org-7018 180 4 Bogdan Bogdan NNP en-wikipedia-org-7018 180 5 ; ; : en-wikipedia-org-7018 180 6 Chindriş Chindriş NNP en-wikipedia-org-7018 180 7 , , , en-wikipedia-org-7018 180 8 Mircea Mircea NNP en-wikipedia-org-7018 180 9 ; ; : en-wikipedia-org-7018 180 10 Sumper Sumper NNP en-wikipedia-org-7018 180 11 , , , en-wikipedia-org-7018 180 12 Andreas Andreas NNP en-wikipedia-org-7018 180 13 ; ; : en-wikipedia-org-7018 180 14 Sudria Sudria NNP en-wikipedia-org-7018 180 15 - - HYPH en-wikipedia-org-7018 180 16 Andreu Andreu NNP en-wikipedia-org-7018 180 17 , , , en-wikipedia-org-7018 180 18 Antoni Antoni NNP en-wikipedia-org-7018 180 19 ; ; : en-wikipedia-org-7018 180 20 Villafafila Villafafila NNP en-wikipedia-org-7018 180 21 - - HYPH en-wikipedia-org-7018 180 22 Robles Robles NNP en-wikipedia-org-7018 180 23 , , , en-wikipedia-org-7018 180 24 Roberto Roberto NNP en-wikipedia-org-7018 180 25 ( ( -LRB- en-wikipedia-org-7018 180 26 2013 2013 CD en-wikipedia-org-7018 180 27 ) ) -RRB- en-wikipedia-org-7018 180 28 . . . en-wikipedia-org-7018 181 1 " " `` en-wikipedia-org-7018 181 2 Pareto Pareto NNP en-wikipedia-org-7018 181 3 Optimal Optimal NNP en-wikipedia-org-7018 181 4 Reconfiguration Reconfiguration NNP en-wikipedia-org-7018 181 5 of of IN en-wikipedia-org-7018 181 6 Power Power NNP en-wikipedia-org-7018 181 7 Distribution Distribution NNP en-wikipedia-org-7018 181 8 Systems Systems NNPS en-wikipedia-org-7018 181 9 Using use VBG en-wikipedia-org-7018 181 10 a a DT en-wikipedia-org-7018 181 11 Genetic genetic JJ en-wikipedia-org-7018 181 12 Algorithm algorithm NN en-wikipedia-org-7018 181 13 Based base VBN en-wikipedia-org-7018 181 14 on on IN en-wikipedia-org-7018 181 15 NSGA NSGA NNP en-wikipedia-org-7018 181 16 - - HYPH en-wikipedia-org-7018 181 17 II II NNP en-wikipedia-org-7018 181 18 " " '' en-wikipedia-org-7018 181 19 . . . en-wikipedia-org-7018 182 1 Energies energy NNS en-wikipedia-org-7018 182 2 . . . en-wikipedia-org-7018 183 1 6 6 CD en-wikipedia-org-7018 183 2 ( ( -LRB- en-wikipedia-org-7018 183 3 3 3 CD en-wikipedia-org-7018 183 4 ) ) -RRB- en-wikipedia-org-7018 183 5 : : : en-wikipedia-org-7018 183 6 1439–55 1439–55 LS en-wikipedia-org-7018 183 7 . . . en-wikipedia-org-7018 184 1 doi:10.3390 doi:10.3390 NNP en-wikipedia-org-7018 184 2 / / SYM en-wikipedia-org-7018 184 3 en6031439 en6031439 NNP en-wikipedia-org-7018 184 4 . . . en-wikipedia-org-7018 185 1 ^ ^ NNP en-wikipedia-org-7018 185 2 Nielsen Nielsen NNP en-wikipedia-org-7018 185 3 , , , en-wikipedia-org-7018 185 4 Frank Frank NNP en-wikipedia-org-7018 185 5 ( ( -LRB- en-wikipedia-org-7018 185 6 1996 1996 CD en-wikipedia-org-7018 185 7 ) ) -RRB- en-wikipedia-org-7018 185 8 . . . en-wikipedia-org-7018 186 1 " " `` en-wikipedia-org-7018 186 2 Output output NN en-wikipedia-org-7018 186 3 - - HYPH en-wikipedia-org-7018 186 4 sensitive sensitive JJ en-wikipedia-org-7018 186 5 peeling peeling NN en-wikipedia-org-7018 186 6 of of IN en-wikipedia-org-7018 186 7 convex convex NNS en-wikipedia-org-7018 186 8 and and CC en-wikipedia-org-7018 186 9 maximal maximal JJ en-wikipedia-org-7018 186 10 layers layer NNS en-wikipedia-org-7018 186 11 " " '' en-wikipedia-org-7018 186 12 . . . en-wikipedia-org-7018 187 1 Information Information NNP en-wikipedia-org-7018 187 2 Processing Processing NNP en-wikipedia-org-7018 187 3 Letters Letters NNPS en-wikipedia-org-7018 187 4 . . . en-wikipedia-org-7018 188 1 59 59 CD en-wikipedia-org-7018 188 2 ( ( -LRB- en-wikipedia-org-7018 188 3 5 5 CD en-wikipedia-org-7018 188 4 ) ) -RRB- en-wikipedia-org-7018 188 5 : : : en-wikipedia-org-7018 188 6 255–9 255–9 CD en-wikipedia-org-7018 188 7 . . . en-wikipedia-org-7018 189 1 CiteSeerX CiteSeerX NNS en-wikipedia-org-7018 189 2   _SP en-wikipedia-org-7018 189 3 10.1.1.259.1042 10.1.1.259.1042 CD en-wikipedia-org-7018 189 4 . . . en-wikipedia-org-7018 189 5 doi:10.1016/0020 doi:10.1016/0020 NNP en-wikipedia-org-7018 189 6 - - HYPH en-wikipedia-org-7018 189 7 0190(96)00116 0190(96)00116 NNP en-wikipedia-org-7018 189 8 - - HYPH en-wikipedia-org-7018 189 9 0 0 CD en-wikipedia-org-7018 189 10 . . . en-wikipedia-org-7018 190 1 ^ ^ NNP en-wikipedia-org-7018 190 2 Kung Kung NNP en-wikipedia-org-7018 190 3 , , , en-wikipedia-org-7018 190 4 H. H. NNP en-wikipedia-org-7018 190 5 T. T. NNP en-wikipedia-org-7018 190 6 ; ; : en-wikipedia-org-7018 190 7 Luccio Luccio NNP en-wikipedia-org-7018 190 8 , , , en-wikipedia-org-7018 190 9 F. F. NNP en-wikipedia-org-7018 190 10 ; ; : en-wikipedia-org-7018 190 11 Preparata Preparata NNP en-wikipedia-org-7018 190 12 , , , en-wikipedia-org-7018 190 13 F.P. F.P. NNP en-wikipedia-org-7018 191 1 ( ( -LRB- en-wikipedia-org-7018 191 2 1975 1975 CD en-wikipedia-org-7018 191 3 ) ) -RRB- en-wikipedia-org-7018 191 4 . . . en-wikipedia-org-7018 192 1 " " `` en-wikipedia-org-7018 192 2 On on IN en-wikipedia-org-7018 192 3 finding find VBG en-wikipedia-org-7018 192 4 the the DT en-wikipedia-org-7018 192 5 maxima maxima NN en-wikipedia-org-7018 192 6 of of IN en-wikipedia-org-7018 192 7 a a DT en-wikipedia-org-7018 192 8 set set NN en-wikipedia-org-7018 192 9 of of IN en-wikipedia-org-7018 192 10 vectors vector NNS en-wikipedia-org-7018 192 11 " " '' en-wikipedia-org-7018 192 12 . . . en-wikipedia-org-7018 193 1 Journal Journal NNP en-wikipedia-org-7018 193 2 of of IN en-wikipedia-org-7018 193 3 the the DT en-wikipedia-org-7018 193 4 ACM ACM NNP en-wikipedia-org-7018 193 5 . . . en-wikipedia-org-7018 194 1 22 22 CD en-wikipedia-org-7018 194 2 ( ( -LRB- en-wikipedia-org-7018 194 3 4 4 CD en-wikipedia-org-7018 194 4 ) ) -RRB- en-wikipedia-org-7018 194 5 : : : en-wikipedia-org-7018 194 6 469–76 469–76 CD en-wikipedia-org-7018 194 7 . . . en-wikipedia-org-7018 195 1 doi:10.1145/321906.321910 doi:10.1145/321906.321910 NNP en-wikipedia-org-7018 195 2 . . . en-wikipedia-org-7018 196 1 S2CID S2CID NNP en-wikipedia-org-7018 196 2   _SP en-wikipedia-org-7018 196 3 2698043 2698043 CD en-wikipedia-org-7018 196 4 . . . en-wikipedia-org-7018 197 1 ^ ^ NNP en-wikipedia-org-7018 197 2 Godfrey Godfrey NNP en-wikipedia-org-7018 197 3 , , , en-wikipedia-org-7018 197 4 P. P. NNP en-wikipedia-org-7018 197 5 ; ; : en-wikipedia-org-7018 197 6 Shipley Shipley NNP en-wikipedia-org-7018 197 7 , , , en-wikipedia-org-7018 197 8 R. R. NNP en-wikipedia-org-7018 197 9 ; ; : en-wikipedia-org-7018 197 10 Gryz Gryz NNP en-wikipedia-org-7018 197 11 , , , en-wikipedia-org-7018 197 12 J. J. NNP en-wikipedia-org-7018 198 1 ( ( -LRB- en-wikipedia-org-7018 198 2 2006 2006 CD en-wikipedia-org-7018 198 3 ) ) -RRB- en-wikipedia-org-7018 198 4 . . . en-wikipedia-org-7018 199 1 " " `` en-wikipedia-org-7018 199 2 Algorithms Algorithms NNP en-wikipedia-org-7018 199 3 and and CC en-wikipedia-org-7018 199 4 Analyses Analyses NNP en-wikipedia-org-7018 199 5 for for IN en-wikipedia-org-7018 199 6 Maximal Maximal NNP en-wikipedia-org-7018 199 7 Vector Vector NNP en-wikipedia-org-7018 199 8 Computation Computation NNP en-wikipedia-org-7018 199 9 " " '' en-wikipedia-org-7018 199 10 . . . en-wikipedia-org-7018 200 1 VLDB VLDB NNP en-wikipedia-org-7018 200 2 Journal Journal NNP en-wikipedia-org-7018 200 3 . . . en-wikipedia-org-7018 201 1 16 16 CD en-wikipedia-org-7018 201 2 : : : en-wikipedia-org-7018 201 3 5–28 5–28 CD en-wikipedia-org-7018 201 4 . . . en-wikipedia-org-7018 202 1 CiteSeerX CiteSeerX NNS en-wikipedia-org-7018 202 2   _SP en-wikipedia-org-7018 202 3 10.1.1.73.6344 10.1.1.73.6344 CD en-wikipedia-org-7018 202 4 . . . en-wikipedia-org-7018 202 5 doi:10.1007 doi:10.1007 NNP en-wikipedia-org-7018 202 6 / / SYM en-wikipedia-org-7018 202 7 s00778 s00778 NNP en-wikipedia-org-7018 202 8 - - HYPH en-wikipedia-org-7018 202 9 006 006 CD en-wikipedia-org-7018 202 10 - - HYPH en-wikipedia-org-7018 202 11 0029 0029 CD en-wikipedia-org-7018 202 12 - - SYM en-wikipedia-org-7018 202 13 7 7 CD en-wikipedia-org-7018 202 14 . . . en-wikipedia-org-7018 203 1 S2CID S2CID NNP en-wikipedia-org-7018 203 2   _SP en-wikipedia-org-7018 203 3 7374749 7374749 CD en-wikipedia-org-7018 203 4 . . . en-wikipedia-org-7018 204 1 ^ ^ NNP en-wikipedia-org-7018 204 2 Kim Kim NNP en-wikipedia-org-7018 204 3 , , , en-wikipedia-org-7018 204 4 I. I. NNP en-wikipedia-org-7018 204 5 Y. Y. NNP en-wikipedia-org-7018 204 6 ; ; : en-wikipedia-org-7018 204 7 de de NNP en-wikipedia-org-7018 204 8 Weck Weck NNP en-wikipedia-org-7018 204 9 , , , en-wikipedia-org-7018 204 10 O. O. NNP en-wikipedia-org-7018 204 11 L. L. NNP en-wikipedia-org-7018 204 12 ( ( -LRB- en-wikipedia-org-7018 204 13 2005 2005 CD en-wikipedia-org-7018 204 14 ) ) -RRB- en-wikipedia-org-7018 204 15 . . . en-wikipedia-org-7018 205 1 " " `` en-wikipedia-org-7018 205 2 Adaptive adaptive JJ en-wikipedia-org-7018 205 3 weighted weighted JJ en-wikipedia-org-7018 205 4 sum sum NN en-wikipedia-org-7018 205 5 method method NN en-wikipedia-org-7018 205 6 for for IN en-wikipedia-org-7018 205 7 multiobjective multiobjective JJ en-wikipedia-org-7018 205 8 optimization optimization NN en-wikipedia-org-7018 205 9 : : : en-wikipedia-org-7018 205 10 a a DT en-wikipedia-org-7018 205 11 new new JJ en-wikipedia-org-7018 205 12 method method NN en-wikipedia-org-7018 205 13 for for IN en-wikipedia-org-7018 205 14 Pareto Pareto NNP en-wikipedia-org-7018 205 15 front front JJ en-wikipedia-org-7018 205 16 generation generation NN en-wikipedia-org-7018 205 17 " " '' en-wikipedia-org-7018 205 18 . . . en-wikipedia-org-7018 206 1 Structural Structural NNP en-wikipedia-org-7018 206 2 and and CC en-wikipedia-org-7018 206 3 Multidisciplinary Multidisciplinary NNP en-wikipedia-org-7018 206 4 Optimization Optimization NNP en-wikipedia-org-7018 206 5 . . . en-wikipedia-org-7018 207 1 31 31 CD en-wikipedia-org-7018 207 2 ( ( -LRB- en-wikipedia-org-7018 207 3 2 2 CD en-wikipedia-org-7018 207 4 ) ) -RRB- en-wikipedia-org-7018 207 5 : : : en-wikipedia-org-7018 207 6 105–116 105–116 CD en-wikipedia-org-7018 207 7 . . . en-wikipedia-org-7018 208 1 doi:10.1007 doi:10.1007 NNP en-wikipedia-org-7018 208 2 / / SYM en-wikipedia-org-7018 208 3 s00158 s00158 NNP en-wikipedia-org-7018 208 4 - - HYPH en-wikipedia-org-7018 208 5 005 005 CD en-wikipedia-org-7018 208 6 - - HYPH en-wikipedia-org-7018 208 7 0557 0557 CD en-wikipedia-org-7018 208 8 - - HYPH en-wikipedia-org-7018 208 9 6 6 CD en-wikipedia-org-7018 208 10 . . . en-wikipedia-org-7018 209 1 ISSN issn NN en-wikipedia-org-7018 209 2   _SP en-wikipedia-org-7018 209 3 1615 1615 CD en-wikipedia-org-7018 209 4 - - HYPH en-wikipedia-org-7018 209 5 147X. 147x. CD en-wikipedia-org-7018 210 1 S2CID S2CID NNS en-wikipedia-org-7018 210 2   _SP en-wikipedia-org-7018 210 3 18237050 18237050 CD en-wikipedia-org-7018 210 4 . . . en-wikipedia-org-7018 211 1 ^ ^ NNP en-wikipedia-org-7018 211 2 Marler Marler NNP en-wikipedia-org-7018 211 3 , , , en-wikipedia-org-7018 211 4 R. R. NNP en-wikipedia-org-7018 211 5 Timothy Timothy NNP en-wikipedia-org-7018 211 6 ; ; : en-wikipedia-org-7018 211 7 Arora Arora NNP en-wikipedia-org-7018 211 8 , , , en-wikipedia-org-7018 211 9 Jasbir Jasbir NNP en-wikipedia-org-7018 211 10 S. S. NNP en-wikipedia-org-7018 211 11 ( ( -LRB- en-wikipedia-org-7018 211 12 2009 2009 CD en-wikipedia-org-7018 211 13 ) ) -RRB- en-wikipedia-org-7018 211 14 . . . en-wikipedia-org-7018 212 1 " " `` en-wikipedia-org-7018 212 2 The the DT en-wikipedia-org-7018 212 3 weighted weighted JJ en-wikipedia-org-7018 212 4 sum sum NN en-wikipedia-org-7018 212 5 method method NN en-wikipedia-org-7018 212 6 for for IN en-wikipedia-org-7018 212 7 multi multi JJ en-wikipedia-org-7018 212 8 - - JJ en-wikipedia-org-7018 212 9 objective objective JJ en-wikipedia-org-7018 212 10 optimization optimization NN en-wikipedia-org-7018 212 11 : : : en-wikipedia-org-7018 212 12 new new JJ en-wikipedia-org-7018 212 13 insights insight NNS en-wikipedia-org-7018 212 14 " " '' en-wikipedia-org-7018 212 15 . . . en-wikipedia-org-7018 213 1 Structural Structural NNP en-wikipedia-org-7018 213 2 and and CC en-wikipedia-org-7018 213 3 Multidisciplinary Multidisciplinary NNP en-wikipedia-org-7018 213 4 Optimization Optimization NNP en-wikipedia-org-7018 213 5 . . . en-wikipedia-org-7018 214 1 41 41 CD en-wikipedia-org-7018 214 2 ( ( -LRB- en-wikipedia-org-7018 214 3 6 6 CD en-wikipedia-org-7018 214 4 ) ) -RRB- en-wikipedia-org-7018 214 5 : : : en-wikipedia-org-7018 214 6 853–862 853–862 CD en-wikipedia-org-7018 214 7 . . . en-wikipedia-org-7018 215 1 doi:10.1007 doi:10.1007 NNP en-wikipedia-org-7018 215 2 / / SYM en-wikipedia-org-7018 215 3 s00158 s00158 NNP en-wikipedia-org-7018 215 4 - - HYPH en-wikipedia-org-7018 215 5 009 009 CD en-wikipedia-org-7018 215 6 - - HYPH en-wikipedia-org-7018 215 7 0460 0460 CD en-wikipedia-org-7018 215 8 - - HYPH en-wikipedia-org-7018 215 9 7 7 CD en-wikipedia-org-7018 215 10 . . . en-wikipedia-org-7018 216 1 ISSN issn NN en-wikipedia-org-7018 216 2   _SP en-wikipedia-org-7018 216 3 1615 1615 CD en-wikipedia-org-7018 216 4 - - HYPH en-wikipedia-org-7018 216 5 147X. 147x. CD en-wikipedia-org-7018 217 1 S2CID S2CID NNS en-wikipedia-org-7018 217 2   _SP en-wikipedia-org-7018 217 3 122325484 122325484 CD en-wikipedia-org-7018 217 4 . . . en-wikipedia-org-7018 218 1 ^ ^ FW en-wikipedia-org-7018 218 2 " " `` en-wikipedia-org-7018 218 3 On on IN en-wikipedia-org-7018 218 4 a a DT en-wikipedia-org-7018 218 5 Bicriterion Bicriterion NNP en-wikipedia-org-7018 218 6 Formulation Formulation NNP en-wikipedia-org-7018 218 7 of of IN en-wikipedia-org-7018 218 8 the the DT en-wikipedia-org-7018 218 9 Problems Problems NNPS en-wikipedia-org-7018 218 10 of of IN en-wikipedia-org-7018 218 11 Integrated Integrated NNP en-wikipedia-org-7018 218 12 System System NNP en-wikipedia-org-7018 218 13 Identification Identification NNP en-wikipedia-org-7018 218 14 and and CC en-wikipedia-org-7018 218 15 System System NNP en-wikipedia-org-7018 218 16 Optimization Optimization NNP en-wikipedia-org-7018 218 17 " " '' en-wikipedia-org-7018 218 18 . . . en-wikipedia-org-7018 219 1 IEEE IEEE NNP en-wikipedia-org-7018 219 2 Transactions transaction NNS en-wikipedia-org-7018 219 3 on on IN en-wikipedia-org-7018 219 4 Systems Systems NNPS en-wikipedia-org-7018 219 5 , , , en-wikipedia-org-7018 219 6 Man Man NNP en-wikipedia-org-7018 219 7 , , , en-wikipedia-org-7018 219 8 and and CC en-wikipedia-org-7018 219 9 Cybernetics cybernetic NNS en-wikipedia-org-7018 219 10 . . . en-wikipedia-org-7018 220 1 SMC-1 SMC-1 NNP en-wikipedia-org-7018 220 2 ( ( -LRB- en-wikipedia-org-7018 220 3 3 3 CD en-wikipedia-org-7018 220 4 ) ) -RRB- en-wikipedia-org-7018 220 5 : : : en-wikipedia-org-7018 220 6 296–297 296–297 CD en-wikipedia-org-7018 220 7 . . . en-wikipedia-org-7018 221 1 1971 1971 CD en-wikipedia-org-7018 221 2 . . . en-wikipedia-org-7018 221 3 doi:10.1109 doi:10.1109 NNP en-wikipedia-org-7018 221 4 / / SYM en-wikipedia-org-7018 221 5 TSMC.1971.4308298 TSMC.1971.4308298 NNP en-wikipedia-org-7018 221 6 . . . en-wikipedia-org-7018 222 1 ISSN issn NN en-wikipedia-org-7018 222 2   _SP en-wikipedia-org-7018 222 3 0018 0018 CD en-wikipedia-org-7018 222 4 - - SYM en-wikipedia-org-7018 222 5 9472 9472 CD en-wikipedia-org-7018 222 6 . . . en-wikipedia-org-7018 223 1 ^ ^ NNP en-wikipedia-org-7018 223 2 Mavrotas Mavrotas NNP en-wikipedia-org-7018 223 3 , , , en-wikipedia-org-7018 223 4 George George NNP en-wikipedia-org-7018 223 5 ( ( -LRB- en-wikipedia-org-7018 223 6 2009 2009 CD en-wikipedia-org-7018 223 7 ) ) -RRB- en-wikipedia-org-7018 223 8 . . . en-wikipedia-org-7018 224 1 " " `` en-wikipedia-org-7018 224 2 Effective effective JJ en-wikipedia-org-7018 224 3 implementation implementation NN en-wikipedia-org-7018 224 4 of of IN en-wikipedia-org-7018 224 5 the the DT en-wikipedia-org-7018 224 6 ε ε NN en-wikipedia-org-7018 224 7 - - HYPH en-wikipedia-org-7018 224 8 constraint constraint NN en-wikipedia-org-7018 224 9 method method NN en-wikipedia-org-7018 224 10 in in IN en-wikipedia-org-7018 224 11 Multi Multi NNP en-wikipedia-org-7018 224 12 - - JJ en-wikipedia-org-7018 224 13 Objective objective JJ en-wikipedia-org-7018 224 14 Mathematical Mathematical NNP en-wikipedia-org-7018 224 15 Programming Programming NNP en-wikipedia-org-7018 224 16 problems problem NNS en-wikipedia-org-7018 224 17 " " '' en-wikipedia-org-7018 224 18 . . . en-wikipedia-org-7018 225 1 Applied Applied NNP en-wikipedia-org-7018 225 2 Mathematics Mathematics NNP en-wikipedia-org-7018 225 3 and and CC en-wikipedia-org-7018 225 4 Computation Computation NNP en-wikipedia-org-7018 225 5 . . . en-wikipedia-org-7018 226 1 213 213 CD en-wikipedia-org-7018 226 2 ( ( -LRB- en-wikipedia-org-7018 226 3 2 2 CD en-wikipedia-org-7018 226 4 ) ) -RRB- en-wikipedia-org-7018 226 5 : : : en-wikipedia-org-7018 226 6 455–465 455–465 CD en-wikipedia-org-7018 226 7 . . . en-wikipedia-org-7018 227 1 doi:10.1016 doi:10.1016 NNP en-wikipedia-org-7018 227 2 / / SYM en-wikipedia-org-7018 227 3 j.amc.2009.03.037 j.amc.2009.03.037 JJ en-wikipedia-org-7018 227 4 . . . en-wikipedia-org-7018 228 1 ISSN issn NN en-wikipedia-org-7018 228 2   _SP en-wikipedia-org-7018 228 3 0096 0096 CD en-wikipedia-org-7018 228 4 - - SYM en-wikipedia-org-7018 228 5 3003 3003 CD en-wikipedia-org-7018 228 6 . . . en-wikipedia-org-7018 229 1 ^ ^ NNP en-wikipedia-org-7018 229 2 Lockwood Lockwood NNP en-wikipedia-org-7018 229 3 , , , en-wikipedia-org-7018 229 4 B. B. NNP en-wikipedia-org-7018 230 1 ( ( -LRB- en-wikipedia-org-7018 230 2 2008 2008 CD en-wikipedia-org-7018 230 3 ) ) -RRB- en-wikipedia-org-7018 230 4 . . . en-wikipedia-org-7018 231 1 The the DT en-wikipedia-org-7018 231 2 New New NNP en-wikipedia-org-7018 231 3 Palgrave Palgrave NNP en-wikipedia-org-7018 231 4 Dictionary Dictionary NNP en-wikipedia-org-7018 231 5 of of IN en-wikipedia-org-7018 231 6 Economics Economics NNP en-wikipedia-org-7018 231 7 ( ( -LRB- en-wikipedia-org-7018 231 8 2nd 2nd NNP en-wikipedia-org-7018 231 9 ed ed NNP en-wikipedia-org-7018 231 10 . . . en-wikipedia-org-7018 231 11 ) ) -RRB- en-wikipedia-org-7018 231 12 . . . en-wikipedia-org-7018 232 1 London London NNP en-wikipedia-org-7018 232 2 : : : en-wikipedia-org-7018 232 3 Palgrave Palgrave NNP en-wikipedia-org-7018 232 4 Macmillan Macmillan NNP en-wikipedia-org-7018 232 5 . . . en-wikipedia-org-7018 233 1 ISBN ISBN NNP en-wikipedia-org-7018 233 2   _SP en-wikipedia-org-7018 233 3 978 978 CD en-wikipedia-org-7018 233 4 - - HYPH en-wikipedia-org-7018 233 5 1 1 CD en-wikipedia-org-7018 233 6 - - HYPH en-wikipedia-org-7018 233 7 349 349 CD en-wikipedia-org-7018 233 8 - - HYPH en-wikipedia-org-7018 233 9 95121 95121 CD en-wikipedia-org-7018 233 10 - - HYPH en-wikipedia-org-7018 233 11 5 5 CD en-wikipedia-org-7018 233 12 . . . en-wikipedia-org-7018 234 1 ^ ^ NNP en-wikipedia-org-7018 234 2 Moore Moore NNP en-wikipedia-org-7018 234 3 , , , en-wikipedia-org-7018 234 4 J. J. NNP en-wikipedia-org-7018 234 5 H. H. NNP en-wikipedia-org-7018 234 6 , , , en-wikipedia-org-7018 234 7 Hill Hill NNP en-wikipedia-org-7018 234 8 , , , en-wikipedia-org-7018 234 9 D. D. NNP en-wikipedia-org-7018 234 10 P. P. NNP en-wikipedia-org-7018 234 11 , , , en-wikipedia-org-7018 234 12 Sulovari Sulovari NNP en-wikipedia-org-7018 234 13 , , , en-wikipedia-org-7018 234 14 A. A. NNP en-wikipedia-org-7018 234 15 , , , en-wikipedia-org-7018 234 16 & & CC en-wikipedia-org-7018 234 17 Kidd Kidd NNP en-wikipedia-org-7018 234 18 , , , en-wikipedia-org-7018 234 19 L. L. NNP en-wikipedia-org-7018 234 20 C. C. NNP en-wikipedia-org-7018 234 21 , , , en-wikipedia-org-7018 234 22 " " `` en-wikipedia-org-7018 234 23 Genetic genetic JJ en-wikipedia-org-7018 234 24 Analysis Analysis NNP en-wikipedia-org-7018 234 25 of of IN en-wikipedia-org-7018 234 26 Prostate Prostate NNP en-wikipedia-org-7018 234 27 Cancer Cancer NNP en-wikipedia-org-7018 234 28 Using Using NNP en-wikipedia-org-7018 234 29 Computational Computational NNP en-wikipedia-org-7018 234 30 Evolution Evolution NNP en-wikipedia-org-7018 234 31 , , , en-wikipedia-org-7018 234 32 Pareto Pareto NNP en-wikipedia-org-7018 234 33 - - HYPH en-wikipedia-org-7018 234 34 Optimization Optimization NNP en-wikipedia-org-7018 234 35 and and CC en-wikipedia-org-7018 234 36 Post Post NNP en-wikipedia-org-7018 234 37 - - JJ en-wikipedia-org-7018 234 38 processing processing NN en-wikipedia-org-7018 234 39 " " '' en-wikipedia-org-7018 234 40 , , , en-wikipedia-org-7018 234 41 in in IN en-wikipedia-org-7018 234 42 R. R. NNP en-wikipedia-org-7018 234 43 Riolo Riolo NNP en-wikipedia-org-7018 234 44 , , , en-wikipedia-org-7018 234 45 E. E. NNP en-wikipedia-org-7018 234 46 Vladislavleva Vladislavleva NNP en-wikipedia-org-7018 234 47 , , , en-wikipedia-org-7018 234 48 M. M. NNP en-wikipedia-org-7018 234 49 D. D. NNP en-wikipedia-org-7018 234 50 Ritchie Ritchie NNP en-wikipedia-org-7018 234 51 , , , en-wikipedia-org-7018 234 52 & & CC en-wikipedia-org-7018 234 53 J. J. NNP en-wikipedia-org-7018 234 54 H. H. NNP en-wikipedia-org-7018 234 55 Moore Moore NNP en-wikipedia-org-7018 234 56 , , , en-wikipedia-org-7018 234 57 eds eds NNP en-wikipedia-org-7018 234 58 . . JJ en-wikipedia-org-7018 234 59 , , , en-wikipedia-org-7018 234 60 Genetic genetic JJ en-wikipedia-org-7018 234 61 Programming Programming NNP en-wikipedia-org-7018 234 62 Theory Theory NNP en-wikipedia-org-7018 234 63 and and CC en-wikipedia-org-7018 234 64 Practice Practice NNP en-wikipedia-org-7018 234 65 X X NNP en-wikipedia-org-7018 234 66 ( ( -LRB- en-wikipedia-org-7018 234 67 Berlin Berlin NNP en-wikipedia-org-7018 234 68 / / SYM en-wikipedia-org-7018 234 69 Heidelberg Heidelberg NNP en-wikipedia-org-7018 234 70 : : : en-wikipedia-org-7018 234 71 Springer Springer NNP en-wikipedia-org-7018 234 72 , , , en-wikipedia-org-7018 234 73 2013 2013 CD en-wikipedia-org-7018 234 74 ) ) -RRB- en-wikipedia-org-7018 234 75 , , , en-wikipedia-org-7018 234 76 pp pp NNP en-wikipedia-org-7018 234 77 . . . en-wikipedia-org-7018 235 1 87–102 87–102 CD en-wikipedia-org-7018 235 2 . . . en-wikipedia-org-7018 236 1 ^ ^ NNP en-wikipedia-org-7018 236 2 Eiben Eiben NNP en-wikipedia-org-7018 236 3 , , , en-wikipedia-org-7018 236 4 A. A. NNP en-wikipedia-org-7018 236 5 E. E. NNP en-wikipedia-org-7018 236 6 , , , en-wikipedia-org-7018 236 7 & & CC en-wikipedia-org-7018 236 8 Smith Smith NNP en-wikipedia-org-7018 236 9 , , , en-wikipedia-org-7018 236 10 J. J. NNP en-wikipedia-org-7018 236 11 E. E. NNP en-wikipedia-org-7018 236 12 , , , en-wikipedia-org-7018 236 13 Introduction introduction NN en-wikipedia-org-7018 236 14 to to IN en-wikipedia-org-7018 236 15 Evolutionary Evolutionary NNP en-wikipedia-org-7018 236 16 Computing Computing NNP en-wikipedia-org-7018 236 17 ( ( -LRB- en-wikipedia-org-7018 236 18 Berlin Berlin NNP en-wikipedia-org-7018 236 19 / / SYM en-wikipedia-org-7018 236 20 Heidelberg Heidelberg NNP en-wikipedia-org-7018 236 21 : : : en-wikipedia-org-7018 236 22 Springer Springer NNP en-wikipedia-org-7018 236 23 , , , en-wikipedia-org-7018 236 24 2003 2003 CD en-wikipedia-org-7018 236 25 ) ) -RRB- en-wikipedia-org-7018 236 26 , , , en-wikipedia-org-7018 236 27 pp pp NNP en-wikipedia-org-7018 236 28 . . . en-wikipedia-org-7018 237 1 166–169 166–169 CD en-wikipedia-org-7018 237 2 . . . en-wikipedia-org-7018 238 1 ^ ^ NNP en-wikipedia-org-7018 238 2 Seward Seward NNP en-wikipedia-org-7018 238 3 , , , en-wikipedia-org-7018 238 4 E. E. NNP en-wikipedia-org-7018 238 5 A. A. NNP en-wikipedia-org-7018 238 6 , , , en-wikipedia-org-7018 238 7 & & CC en-wikipedia-org-7018 238 8 Kelly Kelly NNP en-wikipedia-org-7018 238 9 , , , en-wikipedia-org-7018 238 10 S. S. NNP en-wikipedia-org-7018 238 11 , , , en-wikipedia-org-7018 238 12 " " `` en-wikipedia-org-7018 238 13 Selection selection NN en-wikipedia-org-7018 238 14 - - HYPH en-wikipedia-org-7018 238 15 driven drive VBN en-wikipedia-org-7018 238 16 cost cost NN en-wikipedia-org-7018 238 17 - - HYPH en-wikipedia-org-7018 238 18 efficiency efficiency NN en-wikipedia-org-7018 238 19 optimization optimization NN en-wikipedia-org-7018 238 20 of of IN en-wikipedia-org-7018 238 21 transcripts transcript NNS en-wikipedia-org-7018 238 22 modulates modulate VBZ en-wikipedia-org-7018 238 23 gene gene NN en-wikipedia-org-7018 238 24 evolutionary evolutionary JJ en-wikipedia-org-7018 238 25 rate rate NN en-wikipedia-org-7018 238 26 in in IN en-wikipedia-org-7018 238 27 bacteria bacteria NNS en-wikipedia-org-7018 238 28 " " '' en-wikipedia-org-7018 238 29 , , , en-wikipedia-org-7018 238 30 Genome Genome NNP en-wikipedia-org-7018 238 31 Biology Biology NNP en-wikipedia-org-7018 238 32 , , , en-wikipedia-org-7018 238 33 Vol Vol NNP en-wikipedia-org-7018 238 34 . . . en-wikipedia-org-7018 239 1 19 19 CD en-wikipedia-org-7018 239 2 , , , en-wikipedia-org-7018 239 3 2018 2018 CD en-wikipedia-org-7018 239 4 . . . en-wikipedia-org-7018 240 1 ^ ^ NNP en-wikipedia-org-7018 240 2 Drèze Drèze NNP en-wikipedia-org-7018 240 3 , , , en-wikipedia-org-7018 240 4 J. J. NNP en-wikipedia-org-7018 240 5 , , , en-wikipedia-org-7018 240 6 Essays Essays NNP en-wikipedia-org-7018 240 7 on on IN en-wikipedia-org-7018 240 8 Economic economic JJ en-wikipedia-org-7018 240 9 Decisions decision NNS en-wikipedia-org-7018 240 10 Under under IN en-wikipedia-org-7018 240 11 Uncertainty Uncertainty NNP en-wikipedia-org-7018 240 12 ( ( -LRB- en-wikipedia-org-7018 240 13 Cambridge Cambridge NNP en-wikipedia-org-7018 240 14 : : : en-wikipedia-org-7018 240 15 Cambridge Cambridge NNP en-wikipedia-org-7018 240 16 University University NNP en-wikipedia-org-7018 240 17 Press Press NNP en-wikipedia-org-7018 240 18 , , , en-wikipedia-org-7018 240 19 1987 1987 CD en-wikipedia-org-7018 240 20 ) ) -RRB- en-wikipedia-org-7018 240 21 , , , en-wikipedia-org-7018 240 22 pp pp NNP en-wikipedia-org-7018 240 23 . . . en-wikipedia-org-7018 241 1 358–364 358–364 CD en-wikipedia-org-7018 241 2 ^ ^ FW en-wikipedia-org-7018 241 3 Backhaus Backhaus NNP en-wikipedia-org-7018 241 4 , , , en-wikipedia-org-7018 241 5 J. J. NNP en-wikipedia-org-7018 241 6 G. G. NNP en-wikipedia-org-7018 241 7 , , , en-wikipedia-org-7018 241 8 The the DT en-wikipedia-org-7018 241 9 Elgar Elgar NNP en-wikipedia-org-7018 241 10 Companion Companion NNP en-wikipedia-org-7018 241 11 to to IN en-wikipedia-org-7018 241 12 Law Law NNP en-wikipedia-org-7018 241 13 and and CC en-wikipedia-org-7018 241 14 Economics Economics NNP en-wikipedia-org-7018 241 15 ( ( -LRB- en-wikipedia-org-7018 241 16 Cheltenham Cheltenham NNP en-wikipedia-org-7018 241 17 , , , en-wikipedia-org-7018 241 18 UK UK NNP en-wikipedia-org-7018 241 19 / / SYM en-wikipedia-org-7018 241 20 Northampton Northampton NNP en-wikipedia-org-7018 241 21 , , , en-wikipedia-org-7018 241 22 MA MA NNP en-wikipedia-org-7018 241 23 : : : en-wikipedia-org-7018 241 24 Edward Edward NNP en-wikipedia-org-7018 241 25 Elgar Elgar NNP en-wikipedia-org-7018 241 26 , , , en-wikipedia-org-7018 241 27 2005 2005 CD en-wikipedia-org-7018 241 28 ) ) -RRB- en-wikipedia-org-7018 241 29 , , , en-wikipedia-org-7018 241 30 pp pp NNP en-wikipedia-org-7018 241 31 . . . en-wikipedia-org-7018 242 1 10–15 10–15 LS en-wikipedia-org-7018 242 2 . . . en-wikipedia-org-7018 243 1 ^ ^ NNP en-wikipedia-org-7018 243 2 Paulsen Paulsen NNP en-wikipedia-org-7018 243 3 , , , en-wikipedia-org-7018 243 4 M. M. NNP en-wikipedia-org-7018 243 5 B. B. NNP en-wikipedia-org-7018 243 6 , , , en-wikipedia-org-7018 243 7 " " `` en-wikipedia-org-7018 243 8 The the DT en-wikipedia-org-7018 243 9 Economics Economics NNP en-wikipedia-org-7018 243 10 of of IN en-wikipedia-org-7018 243 11 the the DT en-wikipedia-org-7018 243 12 Public Public NNP en-wikipedia-org-7018 243 13 Sector Sector NNP en-wikipedia-org-7018 243 14 : : : en-wikipedia-org-7018 243 15 The the DT en-wikipedia-org-7018 243 16 Nature Nature NNP en-wikipedia-org-7018 243 17 and and CC en-wikipedia-org-7018 243 18 Role Role NNP en-wikipedia-org-7018 243 19 of of IN en-wikipedia-org-7018 243 20 Public Public NNP en-wikipedia-org-7018 243 21 Policy Policy NNP en-wikipedia-org-7018 243 22 in in IN en-wikipedia-org-7018 243 23 the the DT en-wikipedia-org-7018 243 24 Finance Finance NNP en-wikipedia-org-7018 243 25 of of IN en-wikipedia-org-7018 243 26 Higher Higher NNP en-wikipedia-org-7018 243 27 Education Education NNP en-wikipedia-org-7018 243 28 " " '' en-wikipedia-org-7018 243 29 , , , en-wikipedia-org-7018 243 30 in in IN en-wikipedia-org-7018 243 31 M. M. NNP en-wikipedia-org-7018 243 32 B. B. NNP en-wikipedia-org-7018 243 33 Paulsen Paulsen NNP en-wikipedia-org-7018 243 34 , , , en-wikipedia-org-7018 243 35 J. J. NNP en-wikipedia-org-7018 243 36 C. C. NNP en-wikipedia-org-7018 243 37 Smart Smart NNP en-wikipedia-org-7018 243 38 , , , en-wikipedia-org-7018 243 39 eds eds XX en-wikipedia-org-7018 243 40 . . . en-wikipedia-org-7018 244 1 The the DT en-wikipedia-org-7018 244 2 Finance Finance NNP en-wikipedia-org-7018 244 3 of of IN en-wikipedia-org-7018 244 4 Higher Higher NNP en-wikipedia-org-7018 244 5 Education Education NNP en-wikipedia-org-7018 244 6 : : : en-wikipedia-org-7018 244 7 Theory theory NN en-wikipedia-org-7018 244 8 , , , en-wikipedia-org-7018 244 9 Research Research NNP en-wikipedia-org-7018 244 10 , , , en-wikipedia-org-7018 244 11 Policy Policy NNP en-wikipedia-org-7018 244 12 , , , en-wikipedia-org-7018 244 13 and and CC en-wikipedia-org-7018 244 14 Practice Practice NNP en-wikipedia-org-7018 244 15 ( ( -LRB- en-wikipedia-org-7018 244 16 New New NNP en-wikipedia-org-7018 244 17 York York NNP en-wikipedia-org-7018 244 18 : : : en-wikipedia-org-7018 244 19 Agathon Agathon NNP en-wikipedia-org-7018 244 20 Press Press NNP en-wikipedia-org-7018 244 21 , , , en-wikipedia-org-7018 244 22 2001 2001 CD en-wikipedia-org-7018 244 23 ) ) -RRB- en-wikipedia-org-7018 244 24 , , , en-wikipedia-org-7018 244 25 pp pp NNP en-wikipedia-org-7018 244 26 . . . en-wikipedia-org-7018 245 1 95–132 95–132 NN en-wikipedia-org-7018 245 2 . . . en-wikipedia-org-7018 246 1 ^ ^ NNP en-wikipedia-org-7018 246 2 Lockwood Lockwood NNP en-wikipedia-org-7018 246 3 , , , en-wikipedia-org-7018 246 4 B. B. NNP en-wikipedia-org-7018 247 1 ( ( -LRB- en-wikipedia-org-7018 247 2 2008 2008 CD en-wikipedia-org-7018 247 3 ) ) -RRB- en-wikipedia-org-7018 247 4 . . . en-wikipedia-org-7018 248 1 The the DT en-wikipedia-org-7018 248 2 New New NNP en-wikipedia-org-7018 248 3 Palgrave Palgrave NNP en-wikipedia-org-7018 248 4 Dictionary Dictionary NNP en-wikipedia-org-7018 248 5 of of IN en-wikipedia-org-7018 248 6 Economics Economics NNP en-wikipedia-org-7018 248 7 ( ( -LRB- en-wikipedia-org-7018 248 8 2nd 2nd NNP en-wikipedia-org-7018 248 9 ed ed NNP en-wikipedia-org-7018 248 10 . . . en-wikipedia-org-7018 248 11 ) ) -RRB- en-wikipedia-org-7018 248 12 . . . en-wikipedia-org-7018 249 1 London London NNP en-wikipedia-org-7018 249 2 : : : en-wikipedia-org-7018 249 3 Palgrave Palgrave NNP en-wikipedia-org-7018 249 4 Macmillan Macmillan NNP en-wikipedia-org-7018 249 5 . . . en-wikipedia-org-7018 250 1 ISBN ISBN NNP en-wikipedia-org-7018 250 2   _SP en-wikipedia-org-7018 250 3 978 978 CD en-wikipedia-org-7018 250 4 - - HYPH en-wikipedia-org-7018 250 5 1 1 CD en-wikipedia-org-7018 250 6 - - HYPH en-wikipedia-org-7018 250 7 349 349 CD en-wikipedia-org-7018 250 8 - - HYPH en-wikipedia-org-7018 250 9 95121 95121 CD en-wikipedia-org-7018 250 10 - - HYPH en-wikipedia-org-7018 250 11 5 5 CD en-wikipedia-org-7018 250 12 . . . en-wikipedia-org-7018 251 1 ^ ^ NNP en-wikipedia-org-7018 251 2 Bhushi Bhushi NNP en-wikipedia-org-7018 251 3 , , , en-wikipedia-org-7018 251 4 K. K. NNP en-wikipedia-org-7018 251 5 , , , en-wikipedia-org-7018 251 6 ed ed NNP en-wikipedia-org-7018 251 7 . . NNP en-wikipedia-org-7018 251 8 , , , en-wikipedia-org-7018 251 9 Farm Farm NNP en-wikipedia-org-7018 251 10 to to IN en-wikipedia-org-7018 251 11 Fingers finger NNS en-wikipedia-org-7018 251 12 : : : en-wikipedia-org-7018 251 13 The the DT en-wikipedia-org-7018 251 14 Culture Culture NNP en-wikipedia-org-7018 251 15 and and CC en-wikipedia-org-7018 251 16 Politics Politics NNPS en-wikipedia-org-7018 251 17 of of IN en-wikipedia-org-7018 251 18 Food Food NNP en-wikipedia-org-7018 251 19 in in IN en-wikipedia-org-7018 251 20 Contemporary Contemporary NNP en-wikipedia-org-7018 251 21 India India NNP en-wikipedia-org-7018 251 22 ( ( -LRB- en-wikipedia-org-7018 251 23 Cambridge Cambridge NNP en-wikipedia-org-7018 251 24 : : : en-wikipedia-org-7018 251 25 Cambridge Cambridge NNP en-wikipedia-org-7018 251 26 University University NNP en-wikipedia-org-7018 251 27 Press Press NNP en-wikipedia-org-7018 251 28 , , , en-wikipedia-org-7018 251 29 2018 2018 CD en-wikipedia-org-7018 251 30 ) ) -RRB- en-wikipedia-org-7018 251 31 , , , en-wikipedia-org-7018 251 32 p. p. NN en-wikipedia-org-7018 251 33 222 222 CD en-wikipedia-org-7018 251 34 . . . en-wikipedia-org-7018 252 1 ^ ^ NNP en-wikipedia-org-7018 252 2 Wittman Wittman NNP en-wikipedia-org-7018 252 3 , , , en-wikipedia-org-7018 252 4 D. D. NNP en-wikipedia-org-7018 252 5 , , , en-wikipedia-org-7018 252 6 Economic Economic NNP en-wikipedia-org-7018 252 7 Foundations Foundations NNPS en-wikipedia-org-7018 252 8 of of IN en-wikipedia-org-7018 252 9 Law Law NNP en-wikipedia-org-7018 252 10 and and CC en-wikipedia-org-7018 252 11 Organization Organization NNP en-wikipedia-org-7018 252 12 ( ( -LRB- en-wikipedia-org-7018 252 13 Cambridge Cambridge NNP en-wikipedia-org-7018 252 14 : : : en-wikipedia-org-7018 252 15 Cambridge Cambridge NNP en-wikipedia-org-7018 252 16 University University NNP en-wikipedia-org-7018 252 17 Press Press NNP en-wikipedia-org-7018 252 18 , , , en-wikipedia-org-7018 252 19 2006 2006 CD en-wikipedia-org-7018 252 20 ) ) -RRB- en-wikipedia-org-7018 252 21 , , , en-wikipedia-org-7018 252 22 p. p. NN en-wikipedia-org-7018 252 23 18 18 CD en-wikipedia-org-7018 252 24 . . . en-wikipedia-org-7018 253 1 ^ ^ NNP en-wikipedia-org-7018 253 2 Sen Sen NNP en-wikipedia-org-7018 253 3 , , , en-wikipedia-org-7018 253 4 A. A. NNP en-wikipedia-org-7018 253 5 , , , en-wikipedia-org-7018 253 6 Rationality Rationality NNP en-wikipedia-org-7018 253 7 and and CC en-wikipedia-org-7018 253 8 Freedom Freedom NNP en-wikipedia-org-7018 253 9 ( ( -LRB- en-wikipedia-org-7018 253 10 Cambridge Cambridge NNP en-wikipedia-org-7018 253 11 , , , en-wikipedia-org-7018 253 12 MA MA NNP en-wikipedia-org-7018 253 13 / / SYM en-wikipedia-org-7018 253 14 London London NNP en-wikipedia-org-7018 253 15 : : : en-wikipedia-org-7018 253 16 Belknep Belknep NNP en-wikipedia-org-7018 253 17 Press Press NNP en-wikipedia-org-7018 253 18 , , , en-wikipedia-org-7018 253 19 2004 2004 CD en-wikipedia-org-7018 253 20 ) ) -RRB- en-wikipedia-org-7018 253 21 , , , en-wikipedia-org-7018 253 22 pp pp NNP en-wikipedia-org-7018 253 23 . . . en-wikipedia-org-7018 254 1 92–94 92–94 LS en-wikipedia-org-7018 254 2 . . . en-wikipedia-org-7018 255 1 ^ ^ NNP en-wikipedia-org-7018 255 2 Lockwood Lockwood NNP en-wikipedia-org-7018 255 3 , , , en-wikipedia-org-7018 255 4 B. B. NNP en-wikipedia-org-7018 256 1 ( ( -LRB- en-wikipedia-org-7018 256 2 2008 2008 CD en-wikipedia-org-7018 256 3 ) ) -RRB- en-wikipedia-org-7018 256 4 . . . en-wikipedia-org-7018 257 1 The the DT en-wikipedia-org-7018 257 2 New New NNP en-wikipedia-org-7018 257 3 Palgrave Palgrave NNP en-wikipedia-org-7018 257 4 Dictionary Dictionary NNP en-wikipedia-org-7018 257 5 of of IN en-wikipedia-org-7018 257 6 Economics Economics NNP en-wikipedia-org-7018 257 7 ( ( -LRB- en-wikipedia-org-7018 257 8 2nd 2nd NNP en-wikipedia-org-7018 257 9 ed ed NNP en-wikipedia-org-7018 257 10 . . . en-wikipedia-org-7018 257 11 ) ) -RRB- en-wikipedia-org-7018 257 12 . . . en-wikipedia-org-7018 258 1 London London NNP en-wikipedia-org-7018 258 2 : : : en-wikipedia-org-7018 258 3 Palgrave Palgrave NNP en-wikipedia-org-7018 258 4 Macmillan Macmillan NNP en-wikipedia-org-7018 258 5 . . . en-wikipedia-org-7018 259 1 ISBN ISBN NNP en-wikipedia-org-7018 259 2   _SP en-wikipedia-org-7018 259 3 978 978 CD en-wikipedia-org-7018 259 4 - - HYPH en-wikipedia-org-7018 259 5 1 1 CD en-wikipedia-org-7018 259 6 - - HYPH en-wikipedia-org-7018 259 7 349 349 CD en-wikipedia-org-7018 259 8 - - HYPH en-wikipedia-org-7018 259 9 95121 95121 CD en-wikipedia-org-7018 259 10 - - HYPH en-wikipedia-org-7018 259 11 5 5 CD en-wikipedia-org-7018 259 12 . . . en-wikipedia-org-7018 260 1 Further further JJ en-wikipedia-org-7018 260 2 reading[edit reading[edit LS en-wikipedia-org-7018 260 3 ] ] -RRB- en-wikipedia-org-7018 260 4 Fudenberg Fudenberg NNP en-wikipedia-org-7018 260 5 , , , en-wikipedia-org-7018 260 6 Drew Drew NNP en-wikipedia-org-7018 260 7 ; ; . en-wikipedia-org-7018 260 8 Tirole Tirole NNP en-wikipedia-org-7018 260 9 , , , en-wikipedia-org-7018 260 10 Jean Jean NNP en-wikipedia-org-7018 260 11 ( ( -LRB- en-wikipedia-org-7018 260 12 1991 1991 CD en-wikipedia-org-7018 260 13 ) ) -RRB- en-wikipedia-org-7018 260 14 . . . en-wikipedia-org-7018 261 1 Game game NN en-wikipedia-org-7018 261 2 theory theory NN en-wikipedia-org-7018 261 3 . . . en-wikipedia-org-7018 262 1 Cambridge Cambridge NNP en-wikipedia-org-7018 262 2 , , , en-wikipedia-org-7018 262 3 Massachusetts Massachusetts NNP en-wikipedia-org-7018 262 4 : : : en-wikipedia-org-7018 262 5 MIT MIT NNP en-wikipedia-org-7018 262 6 Press Press NNP en-wikipedia-org-7018 262 7 . . . en-wikipedia-org-7018 263 1 pp pp NNP en-wikipedia-org-7018 263 2 . . . en-wikipedia-org-7018 264 1 18–23 18–23 CD en-wikipedia-org-7018 264 2 . . . en-wikipedia-org-7018 265 1 ISBN ISBN NNP en-wikipedia-org-7018 265 2   _SP en-wikipedia-org-7018 265 3 9780262061414 9780262061414 CD en-wikipedia-org-7018 265 4 . . . en-wikipedia-org-7018 266 1 Book book NN en-wikipedia-org-7018 266 2 preview preview NN en-wikipedia-org-7018 266 3 . . . en-wikipedia-org-7018 267 1 Bendor Bendor NNP en-wikipedia-org-7018 267 2 , , , en-wikipedia-org-7018 267 3 Jonathan Jonathan NNP en-wikipedia-org-7018 267 4 ; ; : en-wikipedia-org-7018 267 5 Mookherjee Mookherjee NNP en-wikipedia-org-7018 267 6 , , , en-wikipedia-org-7018 267 7 Dilip Dilip NNP en-wikipedia-org-7018 267 8 ( ( -LRB- en-wikipedia-org-7018 267 9 April April NNP en-wikipedia-org-7018 267 10 2008 2008 CD en-wikipedia-org-7018 267 11 ) ) -RRB- en-wikipedia-org-7018 267 12 . . . en-wikipedia-org-7018 268 1 " " `` en-wikipedia-org-7018 268 2 Communitarian communitarian JJ en-wikipedia-org-7018 268 3 versus versus IN en-wikipedia-org-7018 268 4 Universalistic universalistic JJ en-wikipedia-org-7018 268 5 norms norm NNS en-wikipedia-org-7018 268 6 " " '' en-wikipedia-org-7018 268 7 . . . en-wikipedia-org-7018 269 1 Quarterly Quarterly NNP en-wikipedia-org-7018 269 2 Journal Journal NNP en-wikipedia-org-7018 269 3 of of IN en-wikipedia-org-7018 269 4 Political Political NNP en-wikipedia-org-7018 269 5 Science Science NNP en-wikipedia-org-7018 269 6 . . . en-wikipedia-org-7018 270 1 3 3 CD en-wikipedia-org-7018 270 2 ( ( -LRB- en-wikipedia-org-7018 270 3 1 1 CD en-wikipedia-org-7018 270 4 ) ) -RRB- en-wikipedia-org-7018 270 5 : : : en-wikipedia-org-7018 270 6 33–61 33–61 CD en-wikipedia-org-7018 270 7 . . . en-wikipedia-org-7018 271 1 doi:10.1561/100.00007028.CS1 doi:10.1561/100.00007028.CS1 NNP en-wikipedia-org-7018 271 2 maint maint NN en-wikipedia-org-7018 271 3 : : : en-wikipedia-org-7018 271 4 ref ref NNP en-wikipedia-org-7018 271 5 = = SYM en-wikipedia-org-7018 271 6 harv harv NN en-wikipedia-org-7018 271 7 ( ( -LRB- en-wikipedia-org-7018 271 8 link link NN en-wikipedia-org-7018 271 9 ) ) -RRB- en-wikipedia-org-7018 271 10 Kanbur Kanbur NNP en-wikipedia-org-7018 271 11 , , , en-wikipedia-org-7018 271 12 Ravi Ravi NNP en-wikipedia-org-7018 271 13 ( ( -LRB- en-wikipedia-org-7018 271 14 January January NNP en-wikipedia-org-7018 271 15 – – : en-wikipedia-org-7018 271 16 June June NNP en-wikipedia-org-7018 271 17 2005 2005 CD en-wikipedia-org-7018 271 18 ) ) -RRB- en-wikipedia-org-7018 271 19 . . . en-wikipedia-org-7018 272 1 " " `` en-wikipedia-org-7018 272 2 Pareto Pareto NNP en-wikipedia-org-7018 272 3 's 's POS en-wikipedia-org-7018 272 4 revenge revenge NN en-wikipedia-org-7018 272 5 " " '' en-wikipedia-org-7018 272 6 ( ( -LRB- en-wikipedia-org-7018 272 7 PDF PDF NNP en-wikipedia-org-7018 272 8 ) ) -RRB- en-wikipedia-org-7018 272 9 . . . en-wikipedia-org-7018 273 1 Journal Journal NNP en-wikipedia-org-7018 273 2 of of IN en-wikipedia-org-7018 273 3 Social Social NNP en-wikipedia-org-7018 273 4 and and CC en-wikipedia-org-7018 273 5 Economic Economic NNP en-wikipedia-org-7018 273 6 Development Development NNP en-wikipedia-org-7018 273 7 . . . en-wikipedia-org-7018 274 1 7 7 CD en-wikipedia-org-7018 274 2 ( ( -LRB- en-wikipedia-org-7018 274 3 1 1 CD en-wikipedia-org-7018 274 4 ) ) -RRB- en-wikipedia-org-7018 274 5 : : : en-wikipedia-org-7018 274 6 1–11.CS1 1–11.cs1 CD en-wikipedia-org-7018 274 7 maint maint NN en-wikipedia-org-7018 274 8 : : : en-wikipedia-org-7018 274 9 ref ref NN en-wikipedia-org-7018 274 10 = = SYM en-wikipedia-org-7018 274 11 harv harv NN en-wikipedia-org-7018 274 12 ( ( -LRB- en-wikipedia-org-7018 274 13 link link NN en-wikipedia-org-7018 274 14 ) ) -RRB- en-wikipedia-org-7018 274 15 Ng ng RB en-wikipedia-org-7018 274 16 , , , en-wikipedia-org-7018 274 17 Yew Yew NNP en-wikipedia-org-7018 274 18 - - HYPH en-wikipedia-org-7018 274 19 Kwang Kwang NNP en-wikipedia-org-7018 274 20 ( ( -LRB- en-wikipedia-org-7018 274 21 2004 2004 CD en-wikipedia-org-7018 274 22 ) ) -RRB- en-wikipedia-org-7018 274 23 . . . en-wikipedia-org-7018 275 1 Welfare welfare NN en-wikipedia-org-7018 275 2 economics economic NNS en-wikipedia-org-7018 275 3 towards towards IN en-wikipedia-org-7018 275 4 a a DT en-wikipedia-org-7018 275 5 more more RBR en-wikipedia-org-7018 275 6 complete complete JJ en-wikipedia-org-7018 275 7 analysis analysis NN en-wikipedia-org-7018 275 8 . . . en-wikipedia-org-7018 276 1 Basingstoke basingstoke VB en-wikipedia-org-7018 276 2 , , , en-wikipedia-org-7018 276 3 Hampshire Hampshire NNP en-wikipedia-org-7018 276 4 New New NNP en-wikipedia-org-7018 276 5 York York NNP en-wikipedia-org-7018 276 6 : : : en-wikipedia-org-7018 276 7 Palgrave Palgrave NNP en-wikipedia-org-7018 276 8 Macmillan Macmillan NNP en-wikipedia-org-7018 276 9 . . . en-wikipedia-org-7018 277 1 ISBN ISBN NNP en-wikipedia-org-7018 277 2   _SP en-wikipedia-org-7018 277 3 9780333971215 9780333971215 CD en-wikipedia-org-7018 277 4 . . . en-wikipedia-org-7018 278 1 Rubinstein Rubinstein NNP en-wikipedia-org-7018 278 2 , , , en-wikipedia-org-7018 278 3 Ariel Ariel NNP en-wikipedia-org-7018 278 4 ; ; : en-wikipedia-org-7018 278 5 Osborne Osborne NNP en-wikipedia-org-7018 278 6 , , , en-wikipedia-org-7018 278 7 Martin Martin NNP en-wikipedia-org-7018 278 8 J. J. NNP en-wikipedia-org-7018 279 1 ( ( -LRB- en-wikipedia-org-7018 279 2 1994 1994 CD en-wikipedia-org-7018 279 3 ) ) -RRB- en-wikipedia-org-7018 279 4 , , , en-wikipedia-org-7018 279 5 " " `` en-wikipedia-org-7018 279 6 Introduction introduction NN en-wikipedia-org-7018 279 7 " " '' en-wikipedia-org-7018 279 8 , , , en-wikipedia-org-7018 279 9 in in IN en-wikipedia-org-7018 279 10 Rubinstein Rubinstein NNP en-wikipedia-org-7018 279 11 , , , en-wikipedia-org-7018 279 12 Ariel Ariel NNP en-wikipedia-org-7018 279 13 ; ; : en-wikipedia-org-7018 279 14 Osborne Osborne NNP en-wikipedia-org-7018 279 15 , , , en-wikipedia-org-7018 279 16 Martin Martin NNP en-wikipedia-org-7018 279 17 J. J. NNP en-wikipedia-org-7018 280 1 ( ( -LRB- en-wikipedia-org-7018 280 2 eds eds PRP$ en-wikipedia-org-7018 280 3 . . . en-wikipedia-org-7018 281 1 ) ) -RRB- en-wikipedia-org-7018 281 2 , , , en-wikipedia-org-7018 281 3 A a DT en-wikipedia-org-7018 281 4 course course NN en-wikipedia-org-7018 281 5 in in IN en-wikipedia-org-7018 281 6 game game NN en-wikipedia-org-7018 281 7 theory theory NN en-wikipedia-org-7018 281 8 , , , en-wikipedia-org-7018 281 9 Cambridge Cambridge NNP en-wikipedia-org-7018 281 10 , , , en-wikipedia-org-7018 281 11 Massachusetts Massachusetts NNP en-wikipedia-org-7018 281 12 : : : en-wikipedia-org-7018 281 13 MIT MIT NNP en-wikipedia-org-7018 281 14 Press Press NNP en-wikipedia-org-7018 281 15 , , , en-wikipedia-org-7018 281 16 pp pp NNP en-wikipedia-org-7018 281 17 . . . en-wikipedia-org-7018 282 1 6–7 6–7 LS en-wikipedia-org-7018 282 2 , , , en-wikipedia-org-7018 282 3 ISBN ISBN NNP en-wikipedia-org-7018 282 4   _SP en-wikipedia-org-7018 282 5 9780262650403 9780262650403 CD en-wikipedia-org-7018 282 6 Book Book NNP en-wikipedia-org-7018 282 7 preview preview NN en-wikipedia-org-7018 282 8 . . . en-wikipedia-org-7018 283 1 Mathur Mathur NNP en-wikipedia-org-7018 283 2 , , , en-wikipedia-org-7018 283 3 Vijay Vijay NNP en-wikipedia-org-7018 283 4 K. K. NNP en-wikipedia-org-7018 283 5 ( ( -LRB- en-wikipedia-org-7018 283 6 Spring Spring NNP en-wikipedia-org-7018 283 7 1991 1991 CD en-wikipedia-org-7018 283 8 ) ) -RRB- en-wikipedia-org-7018 283 9 . . . en-wikipedia-org-7018 284 1 " " `` en-wikipedia-org-7018 284 2 How how WRB en-wikipedia-org-7018 284 3 well well RB en-wikipedia-org-7018 284 4 do do VBP en-wikipedia-org-7018 284 5 we -PRON- PRP en-wikipedia-org-7018 284 6 know know VB en-wikipedia-org-7018 284 7 Pareto Pareto NNP en-wikipedia-org-7018 284 8 optimality optimality NN en-wikipedia-org-7018 284 9 ? ? . en-wikipedia-org-7018 284 10 " " '' en-wikipedia-org-7018 284 11 . . . en-wikipedia-org-7018 285 1 The the DT en-wikipedia-org-7018 285 2 Journal Journal NNP en-wikipedia-org-7018 285 3 of of IN en-wikipedia-org-7018 285 4 Economic Economic NNP en-wikipedia-org-7018 285 5 Education Education NNP en-wikipedia-org-7018 285 6 . . . en-wikipedia-org-7018 286 1 22 22 CD en-wikipedia-org-7018 286 2 ( ( -LRB- en-wikipedia-org-7018 286 3 2 2 CD en-wikipedia-org-7018 286 4 ) ) -RRB- en-wikipedia-org-7018 286 5 : : : en-wikipedia-org-7018 286 6 172–178 172–178 CD en-wikipedia-org-7018 286 7 . . . en-wikipedia-org-7018 287 1 doi:10.2307/1182422 doi:10.2307/1182422 FW en-wikipedia-org-7018 287 2 . . . en-wikipedia-org-7018 288 1 JSTOR JSTOR NNP en-wikipedia-org-7018 288 2   _SP en-wikipedia-org-7018 288 3 1182422.CS1 1182422.CS1 NNP en-wikipedia-org-7018 288 4 maint maint NN en-wikipedia-org-7018 288 5 : : : en-wikipedia-org-7018 288 6 ref ref NN en-wikipedia-org-7018 288 7 = = SYM en-wikipedia-org-7018 288 8 harv harv NN en-wikipedia-org-7018 288 9 ( ( -LRB- en-wikipedia-org-7018 288 10 link link NN en-wikipedia-org-7018 288 11 ) ) -RRB- en-wikipedia-org-7018 288 12 Newbery Newbery NNP en-wikipedia-org-7018 288 13 , , , en-wikipedia-org-7018 288 14 David David NNP en-wikipedia-org-7018 288 15 M.G. M.G. NNP en-wikipedia-org-7018 289 1 ; ; : en-wikipedia-org-7018 289 2 Stiglitz Stiglitz NNP en-wikipedia-org-7018 289 3 , , , en-wikipedia-org-7018 289 4 Joseph Joseph NNP en-wikipedia-org-7018 289 5 E. E. NNP en-wikipedia-org-7018 289 6 ( ( -LRB- en-wikipedia-org-7018 289 7 January January NNP en-wikipedia-org-7018 289 8 1984 1984 CD en-wikipedia-org-7018 289 9 ) ) -RRB- en-wikipedia-org-7018 289 10 . . . en-wikipedia-org-7018 290 1 " " `` en-wikipedia-org-7018 290 2 Pareto Pareto NNP en-wikipedia-org-7018 290 3 inferior inferior JJ en-wikipedia-org-7018 290 4 trade trade NN en-wikipedia-org-7018 290 5 " " '' en-wikipedia-org-7018 290 6 . . . en-wikipedia-org-7018 291 1 The the DT en-wikipedia-org-7018 291 2 Review Review NNP en-wikipedia-org-7018 291 3 of of IN en-wikipedia-org-7018 291 4 Economic Economic NNP en-wikipedia-org-7018 291 5 Studies Studies NNPS en-wikipedia-org-7018 291 6 . . . en-wikipedia-org-7018 292 1 51 51 CD en-wikipedia-org-7018 292 2 ( ( -LRB- en-wikipedia-org-7018 292 3 1 1 CD en-wikipedia-org-7018 292 4 ) ) -RRB- en-wikipedia-org-7018 292 5 : : : en-wikipedia-org-7018 292 6 1–12 1–12 CD en-wikipedia-org-7018 292 7 . . . en-wikipedia-org-7018 293 1 doi:10.2307/2297701 doi:10.2307/2297701 NNP en-wikipedia-org-7018 293 2 . . . en-wikipedia-org-7018 294 1 JSTOR JSTOR NNP en-wikipedia-org-7018 294 2   _SP en-wikipedia-org-7018 294 3 2297701.CS1 2297701.cs1 CD en-wikipedia-org-7018 294 4 maint maint NN en-wikipedia-org-7018 294 5 : : : en-wikipedia-org-7018 294 6 ref ref NN en-wikipedia-org-7018 294 7 = = SYM en-wikipedia-org-7018 294 8 harv harv NNP en-wikipedia-org-7018 294 9 ( ( -LRB- en-wikipedia-org-7018 294 10 link link NN en-wikipedia-org-7018 294 11 ) ) -RRB- en-wikipedia-org-7018 294 12 v v NNP en-wikipedia-org-7018 294 13 t t NNP en-wikipedia-org-7018 294 14 e e NNP en-wikipedia-org-7018 294 15 Economics Economics NNP en-wikipedia-org-7018 294 16 Economic Economic NNP en-wikipedia-org-7018 294 17 theory theory NN en-wikipedia-org-7018 294 18 Political political JJ en-wikipedia-org-7018 294 19 economy economy NN en-wikipedia-org-7018 294 20 Applied applied JJ en-wikipedia-org-7018 294 21 economics economic NNS en-wikipedia-org-7018 294 22 Methodology Methodology NNP en-wikipedia-org-7018 294 23 Economic economic JJ en-wikipedia-org-7018 294 24 model model NN en-wikipedia-org-7018 294 25 Economic economic JJ en-wikipedia-org-7018 294 26 systems system NNS en-wikipedia-org-7018 294 27 Microfoundations microfoundation NNS en-wikipedia-org-7018 294 28 Mathematical mathematical JJ en-wikipedia-org-7018 294 29 economics economic NNS en-wikipedia-org-7018 294 30 Econometrics Econometrics NNP en-wikipedia-org-7018 294 31 Computational Computational NNP en-wikipedia-org-7018 294 32 economics economic NNS en-wikipedia-org-7018 294 33 Experimental experimental JJ en-wikipedia-org-7018 294 34 economics economic NNS en-wikipedia-org-7018 294 35 Publications Publications NNP en-wikipedia-org-7018 294 36 Microeconomics Microeconomics NNPS en-wikipedia-org-7018 294 37 Aggregation Aggregation NNP en-wikipedia-org-7018 294 38 problem problem NN en-wikipedia-org-7018 294 39 Budget Budget NNP en-wikipedia-org-7018 294 40 set set VBD en-wikipedia-org-7018 294 41 Consumer Consumer NNP en-wikipedia-org-7018 294 42 choice choice NN en-wikipedia-org-7018 294 43 Convexity convexity NN en-wikipedia-org-7018 294 44 Cost Cost VBD en-wikipedia-org-7018 294 45 Average average JJ en-wikipedia-org-7018 294 46 Marginal marginal JJ en-wikipedia-org-7018 294 47 Opportunity opportunity NN en-wikipedia-org-7018 294 48 Social Social NNP en-wikipedia-org-7018 294 49 Sunk Sunk NNP en-wikipedia-org-7018 294 50 Transaction Transaction NNP en-wikipedia-org-7018 294 51 Cost cost NN en-wikipedia-org-7018 294 52 – – : en-wikipedia-org-7018 294 53 benefit benefit NN en-wikipedia-org-7018 294 54 analysis analysis NN en-wikipedia-org-7018 294 55 Deadweight Deadweight NNP en-wikipedia-org-7018 294 56 loss loss NN en-wikipedia-org-7018 294 57 Distribution Distribution NNP en-wikipedia-org-7018 294 58 Economies Economies NNPS en-wikipedia-org-7018 294 59 of of IN en-wikipedia-org-7018 294 60 scale scale NN en-wikipedia-org-7018 294 61 Economies economy NNS en-wikipedia-org-7018 294 62 of of IN en-wikipedia-org-7018 294 63 scope scope NN en-wikipedia-org-7018 294 64 Elasticity Elasticity NNP en-wikipedia-org-7018 294 65 Equilibrium Equilibrium NNP en-wikipedia-org-7018 294 66 General General NNP en-wikipedia-org-7018 294 67 Externality Externality NNP en-wikipedia-org-7018 294 68 Firm Firm NNP en-wikipedia-org-7018 294 69 Goods Goods NNPS en-wikipedia-org-7018 294 70 and and CC en-wikipedia-org-7018 294 71 services service NNS en-wikipedia-org-7018 294 72 Goods Goods NNPS en-wikipedia-org-7018 294 73 Service Service NNP en-wikipedia-org-7018 294 74 Indifference Indifference NNP en-wikipedia-org-7018 294 75 curve curve NN en-wikipedia-org-7018 294 76 Interest Interest NNP en-wikipedia-org-7018 294 77 Intertemporal Intertemporal NNP en-wikipedia-org-7018 294 78 choice choice NN en-wikipedia-org-7018 294 79 Market Market NNP en-wikipedia-org-7018 294 80 Market Market NNP en-wikipedia-org-7018 294 81 failure failure NN en-wikipedia-org-7018 294 82 Market market NN en-wikipedia-org-7018 294 83 structure structure NN en-wikipedia-org-7018 294 84 Competition Competition NNP en-wikipedia-org-7018 294 85 Monopolistic monopolistic JJ en-wikipedia-org-7018 294 86 Perfect Perfect NNP en-wikipedia-org-7018 294 87 Monopoly Monopoly NNP en-wikipedia-org-7018 294 88 Bilateral Bilateral NNP en-wikipedia-org-7018 294 89 Monopsony Monopsony NNP en-wikipedia-org-7018 294 90 Oligopoly Oligopoly NNP en-wikipedia-org-7018 294 91 Oligopsony Oligopsony NNP en-wikipedia-org-7018 294 92 Non Non NNP en-wikipedia-org-7018 294 93 - - JJ en-wikipedia-org-7018 294 94 convexity convexity JJ en-wikipedia-org-7018 294 95 Pareto Pareto NNP en-wikipedia-org-7018 294 96 efficiency efficiency NN en-wikipedia-org-7018 294 97 Preference Preference NNP en-wikipedia-org-7018 294 98 Price Price NNP en-wikipedia-org-7018 294 99 Production Production NNP en-wikipedia-org-7018 294 100 set set VBD en-wikipedia-org-7018 294 101 Profit Profit NNP en-wikipedia-org-7018 294 102 Public public JJ en-wikipedia-org-7018 294 103 good good JJ en-wikipedia-org-7018 294 104 Rate rate NN en-wikipedia-org-7018 294 105 of of IN en-wikipedia-org-7018 294 106 profit profit NN en-wikipedia-org-7018 294 107 Rationing ration VBG en-wikipedia-org-7018 294 108 Rent rent NN en-wikipedia-org-7018 294 109 Returns return NNS en-wikipedia-org-7018 294 110 to to TO en-wikipedia-org-7018 294 111 scale scale VB en-wikipedia-org-7018 294 112 Risk risk NN en-wikipedia-org-7018 294 113 aversion aversion NN en-wikipedia-org-7018 294 114 Scarcity Scarcity NNP en-wikipedia-org-7018 294 115 Shortage Shortage NNP en-wikipedia-org-7018 294 116 Surplus surplus JJ en-wikipedia-org-7018 294 117 Social social JJ en-wikipedia-org-7018 294 118 choice choice NN en-wikipedia-org-7018 294 119 Supply supply NN en-wikipedia-org-7018 294 120 and and CC en-wikipedia-org-7018 294 121 demand demand VB en-wikipedia-org-7018 294 122 Trade Trade NNP en-wikipedia-org-7018 294 123 Uncertainty Uncertainty NNP en-wikipedia-org-7018 294 124 Utility utility NN en-wikipedia-org-7018 294 125 Expected expect VBD en-wikipedia-org-7018 294 126 Marginal Marginal NNP en-wikipedia-org-7018 294 127 Value Value NNP en-wikipedia-org-7018 294 128 Wage Wage NNP en-wikipedia-org-7018 294 129 Publications Publications NNPS en-wikipedia-org-7018 294 130 Macroeconomics Macroeconomics NNP en-wikipedia-org-7018 294 131 Aggregate aggregate JJ en-wikipedia-org-7018 294 132 demand demand NN en-wikipedia-org-7018 294 133 Balance balance NN en-wikipedia-org-7018 294 134 of of IN en-wikipedia-org-7018 294 135 payments payment NNS en-wikipedia-org-7018 294 136 Business business NN en-wikipedia-org-7018 294 137 cycle cycle NN en-wikipedia-org-7018 294 138 Capacity capacity NN en-wikipedia-org-7018 294 139 utilization utilization NN en-wikipedia-org-7018 294 140 Capital capital NN en-wikipedia-org-7018 294 141 flight flight NN en-wikipedia-org-7018 294 142 Central central JJ en-wikipedia-org-7018 294 143 bank bank NN en-wikipedia-org-7018 294 144 Consumer Consumer NNP en-wikipedia-org-7018 294 145 confidence confidence NN en-wikipedia-org-7018 294 146 Currency Currency NNP en-wikipedia-org-7018 294 147 Deflation Deflation NNP en-wikipedia-org-7018 294 148 Demand Demand NNP en-wikipedia-org-7018 294 149 shock shock NN en-wikipedia-org-7018 294 150 Depression depression NN en-wikipedia-org-7018 294 151 Great Great NNP en-wikipedia-org-7018 294 152 Disinflation Disinflation NNP en-wikipedia-org-7018 294 153 DSGE DSGE VBZ en-wikipedia-org-7018 294 154 Effective effective JJ en-wikipedia-org-7018 294 155 demand demand NN en-wikipedia-org-7018 294 156 Expectations Expectations NNPS en-wikipedia-org-7018 294 157 Adaptive Adaptive NNP en-wikipedia-org-7018 294 158 Rational Rational NNP en-wikipedia-org-7018 294 159 Fiscal fiscal JJ en-wikipedia-org-7018 294 160 policy policy NN en-wikipedia-org-7018 294 161 General General NNP en-wikipedia-org-7018 294 162 Theory Theory NNP en-wikipedia-org-7018 294 163 of of IN en-wikipedia-org-7018 294 164 Keynes Keynes NNP en-wikipedia-org-7018 294 165 Growth Growth NNP en-wikipedia-org-7018 294 166 Indicators Indicators NNPS en-wikipedia-org-7018 294 167 Inflation Inflation NNP en-wikipedia-org-7018 294 168 Hyperinflation Hyperinflation NNP en-wikipedia-org-7018 294 169 Interest Interest NNP en-wikipedia-org-7018 294 170 rate rate NN en-wikipedia-org-7018 294 171 Investment investment NN en-wikipedia-org-7018 294 172 IS be VBZ en-wikipedia-org-7018 294 173 – – : en-wikipedia-org-7018 294 174 LM LM NNP en-wikipedia-org-7018 294 175 model model NN en-wikipedia-org-7018 294 176 Measures measure NNS en-wikipedia-org-7018 294 177 of of IN en-wikipedia-org-7018 294 178 national national JJ en-wikipedia-org-7018 294 179 income income NN en-wikipedia-org-7018 294 180 and and CC en-wikipedia-org-7018 294 181 output output NN en-wikipedia-org-7018 294 182 Models Models NNP en-wikipedia-org-7018 294 183 Money Money NNP en-wikipedia-org-7018 294 184 Creation Creation NNP en-wikipedia-org-7018 294 185 Demand demand NN en-wikipedia-org-7018 294 186 Supply Supply NNP en-wikipedia-org-7018 294 187 Monetary monetary JJ en-wikipedia-org-7018 294 188 policy policy NN en-wikipedia-org-7018 294 189 NAIRU NAIRU NNP en-wikipedia-org-7018 294 190 National national JJ en-wikipedia-org-7018 294 191 accounts account VBZ en-wikipedia-org-7018 294 192 Price price NN en-wikipedia-org-7018 294 193 level level NN en-wikipedia-org-7018 294 194 PPP ppp NN en-wikipedia-org-7018 294 195 Recession recession NN en-wikipedia-org-7018 294 196 Saving Saving NNP en-wikipedia-org-7018 294 197 Shrinkflation Shrinkflation NNP en-wikipedia-org-7018 294 198 Stagflation Stagflation NNP en-wikipedia-org-7018 294 199 Supply Supply NNP en-wikipedia-org-7018 294 200 shock shock NN en-wikipedia-org-7018 294 201 Unemployment Unemployment NNP en-wikipedia-org-7018 294 202 Publications Publications NNP en-wikipedia-org-7018 294 203 Mathematical Mathematical NNP en-wikipedia-org-7018 294 204 economics economic NNS en-wikipedia-org-7018 294 205 Contract contract NN en-wikipedia-org-7018 294 206 theory theory NN en-wikipedia-org-7018 294 207 Decision decision NN en-wikipedia-org-7018 294 208 theory theory NN en-wikipedia-org-7018 294 209 Econometrics Econometrics NNP en-wikipedia-org-7018 294 210 Game Game NNP en-wikipedia-org-7018 294 211 theory theory NN en-wikipedia-org-7018 294 212 Input input NN en-wikipedia-org-7018 294 213 – – : en-wikipedia-org-7018 294 214 output output NN en-wikipedia-org-7018 294 215 model model NN en-wikipedia-org-7018 294 216 Mathematical mathematical JJ en-wikipedia-org-7018 294 217 finance finance NN en-wikipedia-org-7018 294 218 Mechanism Mechanism NNP en-wikipedia-org-7018 294 219 design design NN en-wikipedia-org-7018 294 220 Operations operation NNS en-wikipedia-org-7018 294 221 research research NN en-wikipedia-org-7018 294 222 Applied Applied NNP en-wikipedia-org-7018 294 223 fields field NNS en-wikipedia-org-7018 294 224 Agricultural Agricultural NNP en-wikipedia-org-7018 294 225 Business Business NNP en-wikipedia-org-7018 294 226 Demographic Demographic NNP en-wikipedia-org-7018 294 227 Development Development NNP en-wikipedia-org-7018 294 228 Economic economic JJ en-wikipedia-org-7018 294 229 geography geography NN en-wikipedia-org-7018 294 230 Economic economic JJ en-wikipedia-org-7018 294 231 history history NN en-wikipedia-org-7018 294 232 Education Education NNP en-wikipedia-org-7018 294 233 Industrial Industrial NNP en-wikipedia-org-7018 294 234 Engineering Engineering NNP en-wikipedia-org-7018 294 235 Civil Civil NNP en-wikipedia-org-7018 294 236 Engineering Engineering NNP en-wikipedia-org-7018 294 237 Environmental Environmental NNP en-wikipedia-org-7018 294 238 Financial Financial NNP en-wikipedia-org-7018 294 239 Health Health NNP en-wikipedia-org-7018 294 240 Industrial Industrial NNP en-wikipedia-org-7018 294 241 organization organization NN en-wikipedia-org-7018 294 242 International International NNP en-wikipedia-org-7018 294 243 Knowledge Knowledge NNP en-wikipedia-org-7018 294 244 Labour Labour NNP en-wikipedia-org-7018 294 245 Law Law NNP en-wikipedia-org-7018 294 246 and and CC en-wikipedia-org-7018 294 247 economics economic NNS en-wikipedia-org-7018 294 248 Monetary Monetary NNP en-wikipedia-org-7018 294 249 Natural Natural NNP en-wikipedia-org-7018 294 250 resource resource NN en-wikipedia-org-7018 294 251 Economic economic JJ en-wikipedia-org-7018 294 252 planning plan VBG en-wikipedia-org-7018 294 253 Economic economic JJ en-wikipedia-org-7018 294 254 policy policy NN en-wikipedia-org-7018 294 255 Public public JJ en-wikipedia-org-7018 294 256 economics economic NNS en-wikipedia-org-7018 294 257 Public public JJ en-wikipedia-org-7018 294 258 choice choice NN en-wikipedia-org-7018 294 259 Regional Regional NNP en-wikipedia-org-7018 294 260 Service Service NNP en-wikipedia-org-7018 294 261 Socioeconomics Socioeconomics NNPS en-wikipedia-org-7018 294 262 Economic economic JJ en-wikipedia-org-7018 294 263 sociology sociology NN en-wikipedia-org-7018 294 264 Economic economic JJ en-wikipedia-org-7018 294 265 statistics statistic NNS en-wikipedia-org-7018 294 266 Transportation Transportation NNP en-wikipedia-org-7018 294 267 Urban Urban NNP en-wikipedia-org-7018 294 268 Welfare Welfare NNP en-wikipedia-org-7018 294 269 Schools Schools NNP en-wikipedia-org-7018 294 270 ( ( -LRB- en-wikipedia-org-7018 294 271 history history NN en-wikipedia-org-7018 294 272 ) ) -RRB- en-wikipedia-org-7018 294 273 of of IN en-wikipedia-org-7018 294 274 economic economic JJ en-wikipedia-org-7018 294 275 thought thought NN en-wikipedia-org-7018 294 276 American American NNP en-wikipedia-org-7018 294 277 ( ( -LRB- en-wikipedia-org-7018 294 278 National National NNP en-wikipedia-org-7018 294 279 ) ) -RRB- en-wikipedia-org-7018 294 280 Ancient Ancient NNP en-wikipedia-org-7018 294 281 thought think VBD en-wikipedia-org-7018 294 282 Anarchist Anarchist NNP en-wikipedia-org-7018 294 283 Mutualism Mutualism NNP en-wikipedia-org-7018 294 284 Austrian austrian JJ en-wikipedia-org-7018 294 285 Behavioral behavioral JJ en-wikipedia-org-7018 294 286 Buddhist buddhist NN en-wikipedia-org-7018 294 287 Chartalism chartalism NN en-wikipedia-org-7018 294 288 Modern Modern NNP en-wikipedia-org-7018 294 289 Monetary Monetary NNP en-wikipedia-org-7018 294 290 Theory Theory NNP en-wikipedia-org-7018 294 291 Chicago Chicago NNP en-wikipedia-org-7018 294 292 Classical Classical NNP en-wikipedia-org-7018 294 293 Disequilibrium Disequilibrium NNP en-wikipedia-org-7018 294 294 Ecological Ecological NNP en-wikipedia-org-7018 294 295 Evolutionary Evolutionary NNP en-wikipedia-org-7018 294 296 Feminist Feminist NNP en-wikipedia-org-7018 294 297 Georgism Georgism NNP en-wikipedia-org-7018 294 298 Heterodox Heterodox NNP en-wikipedia-org-7018 294 299 Historical Historical NNP en-wikipedia-org-7018 294 300 Institutional Institutional NNP en-wikipedia-org-7018 294 301 Keynesian Keynesian NNP en-wikipedia-org-7018 294 302 Neo- neo- XX en-wikipedia-org-7018 294 303 ( ( -LRB- en-wikipedia-org-7018 294 304 neoclassical neoclassical JJ en-wikipedia-org-7018 294 305 – – : en-wikipedia-org-7018 294 306 Keynesian keynesian JJ en-wikipedia-org-7018 294 307 synthesis synthesis NN en-wikipedia-org-7018 294 308 ) ) -RRB- en-wikipedia-org-7018 294 309 New New NNP en-wikipedia-org-7018 294 310 Post- Post- NNP en-wikipedia-org-7018 294 311 Circuitism Circuitism NNP en-wikipedia-org-7018 294 312 Mainstream Mainstream NNP en-wikipedia-org-7018 294 313 Malthusianism Malthusianism NNP en-wikipedia-org-7018 294 314 Marginalism Marginalism NNP en-wikipedia-org-7018 294 315 Marxian Marxian NNP en-wikipedia-org-7018 294 316 Neo Neo NNP en-wikipedia-org-7018 294 317 Mercantilism Mercantilism NNP en-wikipedia-org-7018 294 318 Neoclassical Neoclassical NNP en-wikipedia-org-7018 294 319 Lausanne Lausanne NNP en-wikipedia-org-7018 294 320 New New NNP en-wikipedia-org-7018 294 321 classical classical JJ en-wikipedia-org-7018 294 322 Real real JJ en-wikipedia-org-7018 294 323 business business NN en-wikipedia-org-7018 294 324 - - HYPH en-wikipedia-org-7018 294 325 cycle cycle NN en-wikipedia-org-7018 294 326 theory theory NN en-wikipedia-org-7018 294 327 New New NNP en-wikipedia-org-7018 294 328 institutional institutional JJ en-wikipedia-org-7018 294 329 Physiocracy Physiocracy NNP en-wikipedia-org-7018 294 330 Socialist Socialist NNP en-wikipedia-org-7018 294 331 Stockholm Stockholm NNP en-wikipedia-org-7018 294 332 Supply supply NN en-wikipedia-org-7018 294 333 - - HYPH en-wikipedia-org-7018 294 334 side side NN en-wikipedia-org-7018 294 335 Thermoeconomics Thermoeconomics NNP en-wikipedia-org-7018 294 336 Notable notable JJ en-wikipedia-org-7018 294 337 economists economist NNS en-wikipedia-org-7018 294 338 and and CC en-wikipedia-org-7018 294 339 thinkers thinker NNS en-wikipedia-org-7018 294 340 within within IN en-wikipedia-org-7018 294 341 economics economic NNS en-wikipedia-org-7018 294 342 François François NNP en-wikipedia-org-7018 294 343 Quesnay Quesnay NNP en-wikipedia-org-7018 294 344 Adam Adam NNP en-wikipedia-org-7018 294 345 Smith Smith NNP en-wikipedia-org-7018 294 346 David David NNP en-wikipedia-org-7018 294 347 Ricardo Ricardo NNP en-wikipedia-org-7018 294 348 Thomas Thomas NNP en-wikipedia-org-7018 294 349 Robert Robert NNP en-wikipedia-org-7018 294 350 Malthus Malthus NNP en-wikipedia-org-7018 294 351 Johann Johann NNP en-wikipedia-org-7018 294 352 Heinrich Heinrich NNP en-wikipedia-org-7018 294 353 von von NNP en-wikipedia-org-7018 294 354 Thünen Thünen NNP en-wikipedia-org-7018 294 355 Friedrich Friedrich NNP en-wikipedia-org-7018 294 356 List List NNP en-wikipedia-org-7018 294 357 Hermann Hermann NNP en-wikipedia-org-7018 294 358 Heinrich Heinrich NNP en-wikipedia-org-7018 294 359 Gossen Gossen NNP en-wikipedia-org-7018 294 360 Jules Jules NNP en-wikipedia-org-7018 294 361 Dupuit Dupuit NNP en-wikipedia-org-7018 294 362 Antoine Antoine NNP en-wikipedia-org-7018 294 363 Augustin Augustin NNP en-wikipedia-org-7018 294 364 Cournot Cournot NNP en-wikipedia-org-7018 294 365 John John NNP en-wikipedia-org-7018 294 366 Stuart Stuart NNP en-wikipedia-org-7018 294 367 Mill Mill NNP en-wikipedia-org-7018 294 368 Karl Karl NNP en-wikipedia-org-7018 294 369 Marx Marx NNP en-wikipedia-org-7018 294 370 William William NNP en-wikipedia-org-7018 294 371 Stanley Stanley NNP en-wikipedia-org-7018 294 372 Jevons Jevons NNPS en-wikipedia-org-7018 294 373 Henry Henry NNP en-wikipedia-org-7018 294 374 George George NNP en-wikipedia-org-7018 294 375 Léon Léon NNP en-wikipedia-org-7018 294 376 Walras Walras NNP en-wikipedia-org-7018 294 377 Alfred Alfred NNP en-wikipedia-org-7018 294 378 Marshall Marshall NNP en-wikipedia-org-7018 294 379 Georg Georg NNP en-wikipedia-org-7018 294 380 Friedrich Friedrich NNP en-wikipedia-org-7018 294 381 Knapp Knapp NNP en-wikipedia-org-7018 294 382 Francis Francis NNP en-wikipedia-org-7018 294 383 Ysidro Ysidro NNP en-wikipedia-org-7018 294 384 Edgeworth Edgeworth NNP en-wikipedia-org-7018 294 385 Vilfredo Vilfredo NNP en-wikipedia-org-7018 294 386 Pareto Pareto NNP en-wikipedia-org-7018 294 387 Friedrich Friedrich NNP en-wikipedia-org-7018 294 388 von von NNP en-wikipedia-org-7018 294 389 Wieser Wieser NNP en-wikipedia-org-7018 294 390 John John NNP en-wikipedia-org-7018 294 391 Bates Bates NNP en-wikipedia-org-7018 294 392 Clark Clark NNP en-wikipedia-org-7018 294 393 Thorstein Thorstein NNP en-wikipedia-org-7018 294 394 Veblen Veblen NNP en-wikipedia-org-7018 294 395 John John NNP en-wikipedia-org-7018 294 396 R. R. NNP en-wikipedia-org-7018 294 397 Commons Commons NNP en-wikipedia-org-7018 294 398 Irving Irving NNP en-wikipedia-org-7018 294 399 Fisher Fisher NNP en-wikipedia-org-7018 294 400 Wesley Wesley NNP en-wikipedia-org-7018 294 401 Clair Clair NNP en-wikipedia-org-7018 294 402 Mitchell Mitchell NNP en-wikipedia-org-7018 294 403 John John NNP en-wikipedia-org-7018 294 404 Maynard Maynard NNP en-wikipedia-org-7018 294 405 Keynes Keynes NNP en-wikipedia-org-7018 294 406 Joseph Joseph NNP en-wikipedia-org-7018 294 407 Schumpeter Schumpeter NNP en-wikipedia-org-7018 294 408 Arthur Arthur NNP en-wikipedia-org-7018 294 409 Cecil Cecil NNP en-wikipedia-org-7018 294 410 Pigou Pigou NNP en-wikipedia-org-7018 294 411 Frank Frank NNP en-wikipedia-org-7018 294 412 Knight Knight NNP en-wikipedia-org-7018 294 413 John John NNP en-wikipedia-org-7018 294 414 von von NNP en-wikipedia-org-7018 294 415 Neumann Neumann NNP en-wikipedia-org-7018 294 416 Alvin Alvin NNP en-wikipedia-org-7018 294 417 Hansen Hansen NNP en-wikipedia-org-7018 294 418 Jacob Jacob NNP en-wikipedia-org-7018 294 419 Viner Viner NNP en-wikipedia-org-7018 294 420 Edward Edward NNP en-wikipedia-org-7018 294 421 Chamberlin Chamberlin NNP en-wikipedia-org-7018 294 422 Ragnar Ragnar NNP en-wikipedia-org-7018 294 423 Frisch Frisch NNP en-wikipedia-org-7018 294 424 Harold Harold NNP en-wikipedia-org-7018 294 425 Hotelling hotelle VBG en-wikipedia-org-7018 294 426 Michał Michał NNP en-wikipedia-org-7018 294 427 Kalecki Kalecki NNP en-wikipedia-org-7018 294 428 Oskar Oskar NNP en-wikipedia-org-7018 294 429 R. R. NNP en-wikipedia-org-7018 294 430 Lange Lange NNP en-wikipedia-org-7018 294 431 Jacob Jacob NNP en-wikipedia-org-7018 294 432 Marschak Marschak NNP en-wikipedia-org-7018 294 433 Gunnar Gunnar NNP en-wikipedia-org-7018 294 434 Myrdal Myrdal NNP en-wikipedia-org-7018 294 435 Abba Abba NNP en-wikipedia-org-7018 294 436 P. P. NNP en-wikipedia-org-7018 294 437 Lerner Lerner NNP en-wikipedia-org-7018 294 438 Roy Roy NNP en-wikipedia-org-7018 294 439 Harrod Harrod NNP en-wikipedia-org-7018 294 440 Piero Piero NNP en-wikipedia-org-7018 294 441 Sraffa Sraffa NNP en-wikipedia-org-7018 294 442 Simon Simon NNP en-wikipedia-org-7018 294 443 Kuznets Kuznets NNP en-wikipedia-org-7018 294 444 Joan Joan NNP en-wikipedia-org-7018 294 445 Robinson Robinson NNP en-wikipedia-org-7018 294 446 E. E. NNP en-wikipedia-org-7018 294 447 F. F. NNP en-wikipedia-org-7018 294 448 Schumacher Schumacher NNP en-wikipedia-org-7018 294 449 Friedrich Friedrich NNP en-wikipedia-org-7018 294 450 Hayek Hayek NNP en-wikipedia-org-7018 294 451 John John NNP en-wikipedia-org-7018 294 452 Hicks Hicks NNP en-wikipedia-org-7018 294 453 Tjalling tjalle VBG en-wikipedia-org-7018 294 454 Koopmans Koopmans NNPS en-wikipedia-org-7018 294 455 Nicholas Nicholas NNP en-wikipedia-org-7018 294 456 Georgescu Georgescu NNP en-wikipedia-org-7018 294 457 - - HYPH en-wikipedia-org-7018 294 458 Roegen Roegen NNP en-wikipedia-org-7018 294 459 Wassily Wassily NNP en-wikipedia-org-7018 294 460 Leontief Leontief NNP en-wikipedia-org-7018 294 461 John John NNP en-wikipedia-org-7018 294 462 Kenneth Kenneth NNP en-wikipedia-org-7018 294 463 Galbraith Galbraith NNP en-wikipedia-org-7018 294 464 Hyman Hyman NNP en-wikipedia-org-7018 294 465 Minsky Minsky NNP en-wikipedia-org-7018 294 466 Herbert Herbert NNP en-wikipedia-org-7018 294 467 A. a. NN en-wikipedia-org-7018 294 468 Simon Simon NNP en-wikipedia-org-7018 294 469 Milton Milton NNP en-wikipedia-org-7018 294 470 Friedman Friedman NNP en-wikipedia-org-7018 294 471 Paul Paul NNP en-wikipedia-org-7018 294 472 Samuelson Samuelson NNP en-wikipedia-org-7018 294 473 Kenneth Kenneth NNP en-wikipedia-org-7018 294 474 Arrow Arrow NNP en-wikipedia-org-7018 294 475 William William NNP en-wikipedia-org-7018 294 476 Baumol Baumol NNP en-wikipedia-org-7018 294 477 Gary Gary NNP en-wikipedia-org-7018 294 478 Becker Becker NNP en-wikipedia-org-7018 294 479 Elinor Elinor NNP en-wikipedia-org-7018 294 480 Ostrom Ostrom NNP en-wikipedia-org-7018 294 481 Robert Robert NNP en-wikipedia-org-7018 294 482 Solow Solow NNP en-wikipedia-org-7018 294 483 Amartya Amartya NNP en-wikipedia-org-7018 294 484 Sen Sen NNP en-wikipedia-org-7018 294 485 Robert Robert NNP en-wikipedia-org-7018 294 486 Lucas Lucas NNP en-wikipedia-org-7018 294 487 Jr. Jr. NNP en-wikipedia-org-7018 294 488 Joseph Joseph NNP en-wikipedia-org-7018 294 489 Stiglitz Stiglitz NNP en-wikipedia-org-7018 294 490 Richard Richard NNP en-wikipedia-org-7018 294 491 Thaler Thaler NNP en-wikipedia-org-7018 294 492 Paul Paul NNP en-wikipedia-org-7018 294 493 Krugman Krugman NNP en-wikipedia-org-7018 294 494 Thomas Thomas NNP en-wikipedia-org-7018 294 495 Piketty Piketty NNP en-wikipedia-org-7018 294 496 more more JJR en-wikipedia-org-7018 294 497 International international JJ en-wikipedia-org-7018 294 498 organizations organization NNS en-wikipedia-org-7018 294 499 Asia Asia NNP en-wikipedia-org-7018 294 500 - - HYPH en-wikipedia-org-7018 294 501 Pacific Pacific NNP en-wikipedia-org-7018 294 502 Economic Economic NNP en-wikipedia-org-7018 294 503 Cooperation Cooperation NNP en-wikipedia-org-7018 294 504 Economic Economic NNP en-wikipedia-org-7018 294 505 Cooperation Cooperation NNP en-wikipedia-org-7018 294 506 Organization Organization NNP en-wikipedia-org-7018 294 507 European European NNP en-wikipedia-org-7018 294 508 Free Free NNP en-wikipedia-org-7018 294 509 Trade Trade NNP en-wikipedia-org-7018 294 510 Association Association NNP en-wikipedia-org-7018 294 511 International International NNP en-wikipedia-org-7018 294 512 Monetary Monetary NNP en-wikipedia-org-7018 294 513 Fund Fund NNP en-wikipedia-org-7018 294 514 Organisation Organisation NNP en-wikipedia-org-7018 294 515 for for IN en-wikipedia-org-7018 294 516 Economic Economic NNP en-wikipedia-org-7018 294 517 Co Co NNP en-wikipedia-org-7018 294 518 - - NN en-wikipedia-org-7018 294 519 operation operation NN en-wikipedia-org-7018 294 520 and and CC en-wikipedia-org-7018 294 521 Development Development NNP en-wikipedia-org-7018 294 522 World World NNP en-wikipedia-org-7018 294 523 Bank Bank NNP en-wikipedia-org-7018 294 524 World World NNP en-wikipedia-org-7018 294 525 Trade Trade NNP en-wikipedia-org-7018 294 526 Organization Organization NNP en-wikipedia-org-7018 294 527 Category Category NNP en-wikipedia-org-7018 294 528 Index Index NNP en-wikipedia-org-7018 294 529 Lists Lists NNPS en-wikipedia-org-7018 294 530 Outline Outline NNP en-wikipedia-org-7018 294 531 Publications Publications NNPS en-wikipedia-org-7018 294 532 Business Business NNP en-wikipedia-org-7018 294 533 portal portal JJ en-wikipedia-org-7018 294 534 v v NN en-wikipedia-org-7018 294 535 t t NN en-wikipedia-org-7018 294 536 e e NNP en-wikipedia-org-7018 294 537 Topics Topics NNP en-wikipedia-org-7018 294 538 in in IN en-wikipedia-org-7018 294 539 game game NN en-wikipedia-org-7018 294 540 theory theory NN en-wikipedia-org-7018 294 541 Definitions definition NNS en-wikipedia-org-7018 294 542 Cooperative cooperative JJ en-wikipedia-org-7018 294 543 game game NN en-wikipedia-org-7018 294 544 Determinacy Determinacy NNP en-wikipedia-org-7018 294 545 Escalation Escalation NNP en-wikipedia-org-7018 294 546 of of IN en-wikipedia-org-7018 294 547 commitment commitment JJ en-wikipedia-org-7018 294 548 Extensive extensive JJ en-wikipedia-org-7018 294 549 - - HYPH en-wikipedia-org-7018 294 550 form form NN en-wikipedia-org-7018 294 551 game game NN en-wikipedia-org-7018 294 552 First first JJ en-wikipedia-org-7018 294 553 - - HYPH en-wikipedia-org-7018 294 554 player player NN en-wikipedia-org-7018 294 555 and and CC en-wikipedia-org-7018 294 556 second second JJ en-wikipedia-org-7018 294 557 - - HYPH en-wikipedia-org-7018 294 558 player player NN en-wikipedia-org-7018 294 559 win win NN en-wikipedia-org-7018 294 560 Game Game NNP en-wikipedia-org-7018 294 561 complexity complexity NN en-wikipedia-org-7018 294 562 Graphical graphical JJ en-wikipedia-org-7018 294 563 game game NN en-wikipedia-org-7018 294 564 Hierarchy Hierarchy NNP en-wikipedia-org-7018 294 565 of of IN en-wikipedia-org-7018 294 566 beliefs belief NNS en-wikipedia-org-7018 294 567 Information information NN en-wikipedia-org-7018 294 568 set set VBD en-wikipedia-org-7018 294 569 Normal normal JJ en-wikipedia-org-7018 294 570 - - HYPH en-wikipedia-org-7018 294 571 form form NN en-wikipedia-org-7018 294 572 game game NN en-wikipedia-org-7018 294 573 Preference Preference NNP en-wikipedia-org-7018 294 574 Sequential Sequential NNP en-wikipedia-org-7018 294 575 game game NN en-wikipedia-org-7018 294 576 Simultaneous simultaneous JJ en-wikipedia-org-7018 294 577 game game NN en-wikipedia-org-7018 294 578 Simultaneous simultaneous JJ en-wikipedia-org-7018 294 579 action action NN en-wikipedia-org-7018 294 580 selection selection NN en-wikipedia-org-7018 294 581 Solved solved JJ en-wikipedia-org-7018 294 582 game game NN en-wikipedia-org-7018 294 583 Succinct succinct JJ en-wikipedia-org-7018 294 584 game game NN en-wikipedia-org-7018 294 585 Equilibrium Equilibrium NNP en-wikipedia-org-7018 294 586 concepts concept VBZ en-wikipedia-org-7018 294 587 Nash Nash NNP en-wikipedia-org-7018 294 588 equilibrium equilibrium NN en-wikipedia-org-7018 294 589 Subgame subgame NN en-wikipedia-org-7018 294 590 perfection perfection NN en-wikipedia-org-7018 294 591 Mertens Mertens NNP en-wikipedia-org-7018 294 592 - - HYPH en-wikipedia-org-7018 294 593 stable stable JJ en-wikipedia-org-7018 294 594 equilibrium equilibrium NN en-wikipedia-org-7018 294 595 Bayesian Bayesian NNP en-wikipedia-org-7018 294 596 Nash Nash NNP en-wikipedia-org-7018 294 597 equilibrium equilibrium NN en-wikipedia-org-7018 294 598 Perfect perfect JJ en-wikipedia-org-7018 294 599 Bayesian bayesian JJ en-wikipedia-org-7018 294 600 equilibrium equilibrium NN en-wikipedia-org-7018 294 601 Trembling tremble VBG en-wikipedia-org-7018 294 602 hand hand NN en-wikipedia-org-7018 294 603 Proper proper JJ en-wikipedia-org-7018 294 604 equilibrium equilibrium NN en-wikipedia-org-7018 294 605 Epsilon epsilon NN en-wikipedia-org-7018 294 606 - - HYPH en-wikipedia-org-7018 294 607 equilibrium equilibrium NN en-wikipedia-org-7018 294 608 Correlated correlate VBN en-wikipedia-org-7018 294 609 equilibrium equilibrium NN en-wikipedia-org-7018 294 610 Sequential sequential JJ en-wikipedia-org-7018 294 611 equilibrium equilibrium NN en-wikipedia-org-7018 294 612 Quasi Quasi NNP en-wikipedia-org-7018 294 613 - - HYPH en-wikipedia-org-7018 294 614 perfect perfect JJ en-wikipedia-org-7018 294 615 equilibrium equilibrium NN en-wikipedia-org-7018 294 616 Evolutionarily evolutionarily RB en-wikipedia-org-7018 294 617 stable stable JJ en-wikipedia-org-7018 294 618 strategy strategy NN en-wikipedia-org-7018 294 619 Risk risk NN en-wikipedia-org-7018 294 620 dominance dominance NN en-wikipedia-org-7018 294 621 Core Core NNP en-wikipedia-org-7018 294 622 Shapley Shapley NNP en-wikipedia-org-7018 294 623 value value NN en-wikipedia-org-7018 294 624 Pareto Pareto NNP en-wikipedia-org-7018 294 625 efficiency efficiency NN en-wikipedia-org-7018 294 626 Gibbs Gibbs NNPS en-wikipedia-org-7018 294 627 equilibrium equilibrium NN en-wikipedia-org-7018 294 628 Quantal quantal JJ en-wikipedia-org-7018 294 629 response response NN en-wikipedia-org-7018 294 630 equilibrium equilibrium NN en-wikipedia-org-7018 294 631 Self self NN en-wikipedia-org-7018 294 632 - - HYPH en-wikipedia-org-7018 294 633 confirming confirm VBG en-wikipedia-org-7018 294 634 equilibrium equilibrium NN en-wikipedia-org-7018 294 635 Strong Strong NNP en-wikipedia-org-7018 294 636 Nash Nash NNP en-wikipedia-org-7018 294 637 equilibrium equilibrium NN en-wikipedia-org-7018 294 638 Markov Markov NNP en-wikipedia-org-7018 294 639 perfect perfect JJ en-wikipedia-org-7018 294 640 equilibrium equilibrium NN en-wikipedia-org-7018 294 641 Strategies strategy NNS en-wikipedia-org-7018 294 642 Dominant dominant JJ en-wikipedia-org-7018 294 643 strategies strategy NNS en-wikipedia-org-7018 294 644 Pure pure JJ en-wikipedia-org-7018 294 645 strategy strategy NN en-wikipedia-org-7018 294 646 Mixed mixed JJ en-wikipedia-org-7018 294 647 strategy strategy NN en-wikipedia-org-7018 294 648 Strategy strategy NN en-wikipedia-org-7018 294 649 - - HYPH en-wikipedia-org-7018 294 650 stealing steal VBG en-wikipedia-org-7018 294 651 argument argument NN en-wikipedia-org-7018 294 652 Tit Tit NNP en-wikipedia-org-7018 294 653 for for IN en-wikipedia-org-7018 294 654 tat tat NNP en-wikipedia-org-7018 294 655 Grim Grim NNP en-wikipedia-org-7018 294 656 trigger trigger NN en-wikipedia-org-7018 294 657 Collusion Collusion NNP en-wikipedia-org-7018 294 658 Backward Backward NNP en-wikipedia-org-7018 294 659 induction induction NN en-wikipedia-org-7018 294 660 Forward Forward NNP en-wikipedia-org-7018 294 661 induction induction NN en-wikipedia-org-7018 294 662 Markov Markov NNP en-wikipedia-org-7018 294 663 strategy strategy NN en-wikipedia-org-7018 294 664 Bid Bid NNP en-wikipedia-org-7018 294 665 shading shade VBG en-wikipedia-org-7018 294 666 Classes class NNS en-wikipedia-org-7018 294 667 of of IN en-wikipedia-org-7018 294 668 games game NNS en-wikipedia-org-7018 294 669 Symmetric symmetric JJ en-wikipedia-org-7018 294 670 game game NN en-wikipedia-org-7018 294 671 Perfect perfect JJ en-wikipedia-org-7018 294 672 information information NN en-wikipedia-org-7018 294 673 Repeated repeat VBN en-wikipedia-org-7018 294 674 game game NN en-wikipedia-org-7018 294 675 Signaling signal VBG en-wikipedia-org-7018 294 676 game game NN en-wikipedia-org-7018 294 677 Screening screening NN en-wikipedia-org-7018 294 678 game game NN en-wikipedia-org-7018 294 679 Cheap cheap JJ en-wikipedia-org-7018 294 680 talk talk NN en-wikipedia-org-7018 294 681 Zero zero CD en-wikipedia-org-7018 294 682 - - HYPH en-wikipedia-org-7018 294 683 sum sum NN en-wikipedia-org-7018 294 684 game game NN en-wikipedia-org-7018 294 685 Mechanism Mechanism NNP en-wikipedia-org-7018 294 686 design design NN en-wikipedia-org-7018 294 687 Bargaining bargaining NN en-wikipedia-org-7018 294 688 problem problem NN en-wikipedia-org-7018 294 689 Stochastic stochastic JJ en-wikipedia-org-7018 294 690 game game NN en-wikipedia-org-7018 294 691 Mean mean JJ en-wikipedia-org-7018 294 692 field field NN en-wikipedia-org-7018 294 693 game game NN en-wikipedia-org-7018 294 694 n n NN en-wikipedia-org-7018 294 695 - - HYPH en-wikipedia-org-7018 294 696 player player NN en-wikipedia-org-7018 294 697 game game NN en-wikipedia-org-7018 294 698 Large large JJ en-wikipedia-org-7018 294 699 Poisson Poisson NNP en-wikipedia-org-7018 294 700 game game NN en-wikipedia-org-7018 294 701 Nontransitive Nontransitive NNP en-wikipedia-org-7018 294 702 game game NN en-wikipedia-org-7018 294 703 Global global JJ en-wikipedia-org-7018 294 704 game game NN en-wikipedia-org-7018 294 705 Strictly strictly RB en-wikipedia-org-7018 294 706 determined determine VBN en-wikipedia-org-7018 294 707 game game NN en-wikipedia-org-7018 294 708 Potential potential JJ en-wikipedia-org-7018 294 709 game game NN en-wikipedia-org-7018 294 710 Games Games NNPS en-wikipedia-org-7018 294 711 Go Go NNP en-wikipedia-org-7018 294 712 Chess Chess NNP en-wikipedia-org-7018 294 713 Infinite Infinite NNP en-wikipedia-org-7018 294 714 chess chess NN en-wikipedia-org-7018 294 715 Checkers Checkers NNP en-wikipedia-org-7018 294 716 Tic Tic NNP en-wikipedia-org-7018 294 717 - - HYPH en-wikipedia-org-7018 294 718 tac tac NN en-wikipedia-org-7018 294 719 - - HYPH en-wikipedia-org-7018 294 720 toe toe NNP en-wikipedia-org-7018 294 721 Prisoner Prisoner NNP en-wikipedia-org-7018 294 722 's 's POS en-wikipedia-org-7018 294 723 dilemma dilemma NN en-wikipedia-org-7018 294 724 Gift Gift NNP en-wikipedia-org-7018 294 725 - - HYPH en-wikipedia-org-7018 294 726 exchange exchange NN en-wikipedia-org-7018 294 727 game game NN en-wikipedia-org-7018 294 728 Optional optional JJ en-wikipedia-org-7018 294 729 prisoner prisoner NN en-wikipedia-org-7018 294 730 's 's POS en-wikipedia-org-7018 294 731 dilemma dilemma NN en-wikipedia-org-7018 294 732 Traveler Traveler NNP en-wikipedia-org-7018 294 733 's 's POS en-wikipedia-org-7018 294 734 dilemma dilemma NN en-wikipedia-org-7018 294 735 Coordination Coordination NNP en-wikipedia-org-7018 294 736 game game NN en-wikipedia-org-7018 294 737 Chicken Chicken NNP en-wikipedia-org-7018 294 738 Centipede Centipede NNP en-wikipedia-org-7018 294 739 game game NN en-wikipedia-org-7018 294 740 Volunteer Volunteer NNP en-wikipedia-org-7018 294 741 's 's POS en-wikipedia-org-7018 294 742 dilemma dilemma NN en-wikipedia-org-7018 294 743 Dollar Dollar NNP en-wikipedia-org-7018 294 744 auction auction NN en-wikipedia-org-7018 294 745 Battle Battle NNP en-wikipedia-org-7018 294 746 of of IN en-wikipedia-org-7018 294 747 the the DT en-wikipedia-org-7018 294 748 sexes sex NNS en-wikipedia-org-7018 294 749 Stag stag JJ en-wikipedia-org-7018 294 750 hunt hunt NN en-wikipedia-org-7018 294 751 Matching Matching NNP en-wikipedia-org-7018 294 752 pennies penny NNS en-wikipedia-org-7018 294 753 Ultimatum Ultimatum NNP en-wikipedia-org-7018 294 754 game game NN en-wikipedia-org-7018 294 755 Rock Rock NNP en-wikipedia-org-7018 294 756 paper paper NN en-wikipedia-org-7018 294 757 scissors scissor NNS en-wikipedia-org-7018 294 758 Pirate Pirate NNP en-wikipedia-org-7018 294 759 game game NN en-wikipedia-org-7018 294 760 Dictator Dictator NNP en-wikipedia-org-7018 294 761 game game NN en-wikipedia-org-7018 294 762 Public public JJ en-wikipedia-org-7018 294 763 goods good NNS en-wikipedia-org-7018 294 764 game game NN en-wikipedia-org-7018 294 765 Blotto Blotto NNP en-wikipedia-org-7018 294 766 game game NN en-wikipedia-org-7018 294 767 War War NNP en-wikipedia-org-7018 294 768 of of IN en-wikipedia-org-7018 294 769 attrition attrition NN en-wikipedia-org-7018 294 770 El El NNP en-wikipedia-org-7018 294 771 Farol Farol NNP en-wikipedia-org-7018 294 772 Bar Bar NNP en-wikipedia-org-7018 294 773 problem problem NN en-wikipedia-org-7018 294 774 Fair Fair NNP en-wikipedia-org-7018 294 775 division division NN en-wikipedia-org-7018 294 776 Fair fair JJ en-wikipedia-org-7018 294 777 cake cake NN en-wikipedia-org-7018 294 778 - - HYPH en-wikipedia-org-7018 294 779 cutting cut VBG en-wikipedia-org-7018 294 780 Cournot Cournot NNP en-wikipedia-org-7018 294 781 game game NN en-wikipedia-org-7018 294 782 Deadlock Deadlock NNP en-wikipedia-org-7018 294 783 Diner Diner NNP en-wikipedia-org-7018 294 784 's 's POS en-wikipedia-org-7018 294 785 dilemma dilemma NN en-wikipedia-org-7018 294 786 Guess Guess NNP en-wikipedia-org-7018 294 787 2/3 2/3 CD en-wikipedia-org-7018 294 788 of of IN en-wikipedia-org-7018 294 789 the the DT en-wikipedia-org-7018 294 790 average average JJ en-wikipedia-org-7018 294 791 Kuhn Kuhn NNP en-wikipedia-org-7018 294 792 poker poker NN en-wikipedia-org-7018 294 793 Nash Nash NNP en-wikipedia-org-7018 294 794 bargaining bargaining NN en-wikipedia-org-7018 294 795 game game NN en-wikipedia-org-7018 294 796 Induction Induction NNP en-wikipedia-org-7018 294 797 puzzles puzzle NNS en-wikipedia-org-7018 294 798 Trust Trust NNP en-wikipedia-org-7018 294 799 game game NN en-wikipedia-org-7018 294 800 Princess Princess NNP en-wikipedia-org-7018 294 801 and and CC en-wikipedia-org-7018 294 802 Monster Monster NNP en-wikipedia-org-7018 294 803 game game NN en-wikipedia-org-7018 294 804 Rendezvous rendezvous JJ en-wikipedia-org-7018 294 805 problem problem NN en-wikipedia-org-7018 294 806 Theorems Theorems NNPS en-wikipedia-org-7018 294 807 Arrow Arrow NNP en-wikipedia-org-7018 294 808 's 's POS en-wikipedia-org-7018 294 809 impossibility impossibility NN en-wikipedia-org-7018 294 810 theorem theorem NN en-wikipedia-org-7018 294 811 Aumann Aumann NNP en-wikipedia-org-7018 294 812 's 's POS en-wikipedia-org-7018 294 813 agreement agreement NN en-wikipedia-org-7018 294 814 theorem theorem NN en-wikipedia-org-7018 294 815 Folk Folk NNP en-wikipedia-org-7018 294 816 theorem theorem NN en-wikipedia-org-7018 294 817 Minimax Minimax NNP en-wikipedia-org-7018 294 818 theorem theorem NN en-wikipedia-org-7018 294 819 Nash Nash NNP en-wikipedia-org-7018 294 820 's 's POS en-wikipedia-org-7018 294 821 theorem theorem JJ en-wikipedia-org-7018 294 822 Purification Purification NNP en-wikipedia-org-7018 294 823 theorem theorem JJ en-wikipedia-org-7018 294 824 Revelation Revelation NNP en-wikipedia-org-7018 294 825 principle principle NN en-wikipedia-org-7018 294 826 Zermelo Zermelo NNP en-wikipedia-org-7018 294 827 's 's POS en-wikipedia-org-7018 294 828 theorem theorem JJ en-wikipedia-org-7018 294 829 Key key JJ en-wikipedia-org-7018 294 830 figures figure NNS en-wikipedia-org-7018 294 831 Albert Albert NNP en-wikipedia-org-7018 294 832 W. W. NNP en-wikipedia-org-7018 294 833 Tucker Tucker NNP en-wikipedia-org-7018 294 834 Amos Amos NNP en-wikipedia-org-7018 294 835 Tversky Tversky NNP en-wikipedia-org-7018 294 836 Antoine Antoine NNP en-wikipedia-org-7018 294 837 Augustin Augustin NNP en-wikipedia-org-7018 294 838 Cournot Cournot NNP en-wikipedia-org-7018 294 839 Ariel Ariel NNP en-wikipedia-org-7018 294 840 Rubinstein Rubinstein NNP en-wikipedia-org-7018 294 841 Claude Claude NNP en-wikipedia-org-7018 294 842 Shannon Shannon NNP en-wikipedia-org-7018 294 843 Daniel Daniel NNP en-wikipedia-org-7018 294 844 Kahneman Kahneman NNP en-wikipedia-org-7018 294 845 David David NNP en-wikipedia-org-7018 294 846 K. K. NNP en-wikipedia-org-7018 294 847 Levine Levine NNP en-wikipedia-org-7018 294 848 David David NNP en-wikipedia-org-7018 294 849 M. M. NNP en-wikipedia-org-7018 294 850 Kreps Kreps NNP en-wikipedia-org-7018 294 851 Donald Donald NNP en-wikipedia-org-7018 294 852 B. B. NNP en-wikipedia-org-7018 294 853 Gillies Gillies NNP en-wikipedia-org-7018 294 854 Drew Drew NNP en-wikipedia-org-7018 294 855 Fudenberg Fudenberg NNP en-wikipedia-org-7018 294 856 Eric Eric NNP en-wikipedia-org-7018 294 857 Maskin Maskin NNP en-wikipedia-org-7018 294 858 Harold Harold NNP en-wikipedia-org-7018 294 859 W. W. NNP en-wikipedia-org-7018 294 860 Kuhn Kuhn NNP en-wikipedia-org-7018 294 861 Herbert Herbert NNP en-wikipedia-org-7018 294 862 Simon Simon NNP en-wikipedia-org-7018 294 863 Hervé Hervé NNP en-wikipedia-org-7018 294 864 Moulin Moulin NNP en-wikipedia-org-7018 294 865 Jean Jean NNP en-wikipedia-org-7018 294 866 Tirole Tirole NNP en-wikipedia-org-7018 294 867 Jean Jean NNP en-wikipedia-org-7018 294 868 - - HYPH en-wikipedia-org-7018 294 869 François François NNP en-wikipedia-org-7018 294 870 Mertens Mertens NNPS en-wikipedia-org-7018 294 871 Jennifer Jennifer NNP en-wikipedia-org-7018 294 872 Tour Tour NNP en-wikipedia-org-7018 294 873 Chayes Chayes NNP en-wikipedia-org-7018 294 874 John John NNP en-wikipedia-org-7018 294 875 Harsanyi Harsanyi NNP en-wikipedia-org-7018 294 876 John John NNP en-wikipedia-org-7018 294 877 Maynard Maynard NNP en-wikipedia-org-7018 294 878 Smith Smith NNP en-wikipedia-org-7018 294 879 John John NNP en-wikipedia-org-7018 294 880 Nash Nash NNP en-wikipedia-org-7018 294 881 John John NNP en-wikipedia-org-7018 294 882 von von NNP en-wikipedia-org-7018 294 883 Neumann Neumann NNP en-wikipedia-org-7018 294 884 Kenneth Kenneth NNP en-wikipedia-org-7018 294 885 Arrow Arrow NNP en-wikipedia-org-7018 294 886 Kenneth Kenneth NNP en-wikipedia-org-7018 294 887 Binmore Binmore NNP en-wikipedia-org-7018 294 888 Leonid Leonid NNP en-wikipedia-org-7018 294 889 Hurwicz Hurwicz NNP en-wikipedia-org-7018 294 890 Lloyd Lloyd NNP en-wikipedia-org-7018 294 891 Shapley Shapley NNP en-wikipedia-org-7018 294 892 Melvin Melvin NNP en-wikipedia-org-7018 294 893 Dresher Dresher NNP en-wikipedia-org-7018 294 894 Merrill Merrill NNP en-wikipedia-org-7018 294 895 M. M. NNP en-wikipedia-org-7018 294 896 Flood Flood NNP en-wikipedia-org-7018 294 897 Olga Olga NNP en-wikipedia-org-7018 294 898 Bondareva Bondareva NNP en-wikipedia-org-7018 294 899 Oskar Oskar NNP en-wikipedia-org-7018 294 900 Morgenstern Morgenstern NNP en-wikipedia-org-7018 294 901 Paul Paul NNP en-wikipedia-org-7018 294 902 Milgrom Milgrom NNP en-wikipedia-org-7018 294 903 Peyton Peyton NNP en-wikipedia-org-7018 294 904 Young Young NNP en-wikipedia-org-7018 294 905 Reinhard Reinhard NNP en-wikipedia-org-7018 294 906 Selten Selten NNP en-wikipedia-org-7018 294 907 Robert Robert NNP en-wikipedia-org-7018 294 908 Axelrod Axelrod NNP en-wikipedia-org-7018 294 909 Robert Robert NNP en-wikipedia-org-7018 294 910 Aumann Aumann NNP en-wikipedia-org-7018 294 911 Robert Robert NNP en-wikipedia-org-7018 294 912 B. B. NNP en-wikipedia-org-7018 294 913 Wilson Wilson NNP en-wikipedia-org-7018 294 914 Roger Roger NNP en-wikipedia-org-7018 294 915 Myerson Myerson NNP en-wikipedia-org-7018 294 916 Samuel Samuel NNP en-wikipedia-org-7018 294 917 Bowles Bowles NNP en-wikipedia-org-7018 294 918 Suzanne Suzanne NNP en-wikipedia-org-7018 294 919 Scotchmer Scotchmer NNP en-wikipedia-org-7018 294 920 Thomas Thomas NNP en-wikipedia-org-7018 294 921 Schelling Schelling NNP en-wikipedia-org-7018 294 922 William William NNP en-wikipedia-org-7018 294 923 Vickrey Vickrey NNP en-wikipedia-org-7018 294 924 See see VB en-wikipedia-org-7018 294 925 also also RB en-wikipedia-org-7018 294 926 All all DT en-wikipedia-org-7018 294 927 - - HYPH en-wikipedia-org-7018 294 928 pay pay VB en-wikipedia-org-7018 294 929 auction auction NN en-wikipedia-org-7018 294 930 Alpha alpha NN en-wikipedia-org-7018 294 931 – – : en-wikipedia-org-7018 294 932 beta beta NN en-wikipedia-org-7018 294 933 pruning prune VBG en-wikipedia-org-7018 294 934 Bertrand Bertrand NNP en-wikipedia-org-7018 294 935 paradox paradox NN en-wikipedia-org-7018 294 936 Bounded bound VBN en-wikipedia-org-7018 294 937 rationality rationality NN en-wikipedia-org-7018 294 938 Combinatorial combinatorial JJ en-wikipedia-org-7018 294 939 game game NN en-wikipedia-org-7018 294 940 theory theory NN en-wikipedia-org-7018 294 941 Confrontation Confrontation NNP en-wikipedia-org-7018 294 942 analysis analysis NN en-wikipedia-org-7018 294 943 Coopetition Coopetition NNP en-wikipedia-org-7018 294 944 Evolutionary Evolutionary NNP en-wikipedia-org-7018 294 945 game game NN en-wikipedia-org-7018 294 946 theory theory NN en-wikipedia-org-7018 294 947 First first JJ en-wikipedia-org-7018 294 948 - - HYPH en-wikipedia-org-7018 294 949 move move NN en-wikipedia-org-7018 294 950 advantage advantage NN en-wikipedia-org-7018 294 951 in in IN en-wikipedia-org-7018 294 952 chess chess NN en-wikipedia-org-7018 294 953 Game Game NNP en-wikipedia-org-7018 294 954 mechanics mechanic NNS en-wikipedia-org-7018 294 955 Glossary Glossary NNP en-wikipedia-org-7018 294 956 of of IN en-wikipedia-org-7018 294 957 game game NN en-wikipedia-org-7018 294 958 theory theory NN en-wikipedia-org-7018 294 959 List List NNP en-wikipedia-org-7018 294 960 of of IN en-wikipedia-org-7018 294 961 game game NN en-wikipedia-org-7018 294 962 theorists theorist NNS en-wikipedia-org-7018 294 963 List List NNP en-wikipedia-org-7018 294 964 of of IN en-wikipedia-org-7018 294 965 games game NNS en-wikipedia-org-7018 294 966 in in IN en-wikipedia-org-7018 294 967 game game NN en-wikipedia-org-7018 294 968 theory theory NN en-wikipedia-org-7018 294 969 No no DT en-wikipedia-org-7018 294 970 - - HYPH en-wikipedia-org-7018 294 971 win win NN en-wikipedia-org-7018 294 972 situation situation NN en-wikipedia-org-7018 294 973 Solving solve VBG en-wikipedia-org-7018 294 974 chess chess NN en-wikipedia-org-7018 294 975 Topological topological JJ en-wikipedia-org-7018 294 976 game game NN en-wikipedia-org-7018 294 977 Tragedy Tragedy NNP en-wikipedia-org-7018 294 978 of of IN en-wikipedia-org-7018 294 979 the the DT en-wikipedia-org-7018 294 980 commons common NNS en-wikipedia-org-7018 294 981 Tyranny tyranny NN en-wikipedia-org-7018 294 982 of of IN en-wikipedia-org-7018 294 983 small small JJ en-wikipedia-org-7018 294 984 decisions decision NNS en-wikipedia-org-7018 294 985 v v IN en-wikipedia-org-7018 294 986 t t NN en-wikipedia-org-7018 294 987 e e NNP en-wikipedia-org-7018 294 988 Electoral Electoral NNP en-wikipedia-org-7018 294 989 systems system NNS en-wikipedia-org-7018 294 990 Part part NN en-wikipedia-org-7018 294 991 of of IN en-wikipedia-org-7018 294 992 the the DT en-wikipedia-org-7018 294 993 politics politic NNS en-wikipedia-org-7018 294 994 and and CC en-wikipedia-org-7018 294 995 election election NN en-wikipedia-org-7018 294 996 series series NN en-wikipedia-org-7018 294 997 Single single JJ en-wikipedia-org-7018 294 998 - - HYPH en-wikipedia-org-7018 294 999 winner winner NN en-wikipedia-org-7018 294 1000 Approval approval NN en-wikipedia-org-7018 294 1001 voting vote VBG en-wikipedia-org-7018 294 1002 Combined combined JJ en-wikipedia-org-7018 294 1003 approval approval NN en-wikipedia-org-7018 294 1004 voting vote VBG en-wikipedia-org-7018 294 1005 Unified unify VBD en-wikipedia-org-7018 294 1006 Primary Primary NNP en-wikipedia-org-7018 294 1007 Borda Borda NNP en-wikipedia-org-7018 294 1008 count count NN en-wikipedia-org-7018 294 1009 Bucklin Bucklin NNP en-wikipedia-org-7018 294 1010 voting vote VBG en-wikipedia-org-7018 294 1011 Contingent Contingent NNP en-wikipedia-org-7018 294 1012 vote vote NN en-wikipedia-org-7018 294 1013 Supplementary supplementary JJ en-wikipedia-org-7018 294 1014 vote vote NN en-wikipedia-org-7018 294 1015 Condorcet Condorcet NNP en-wikipedia-org-7018 294 1016 methods method NNS en-wikipedia-org-7018 294 1017 Copeland Copeland NNP en-wikipedia-org-7018 294 1018 's 's POS en-wikipedia-org-7018 294 1019 method method NN en-wikipedia-org-7018 294 1020 Dodgson Dodgson NNP en-wikipedia-org-7018 294 1021 's 's POS en-wikipedia-org-7018 294 1022 method method NN en-wikipedia-org-7018 294 1023 Kemeny Kemeny NNP en-wikipedia-org-7018 294 1024 – – : en-wikipedia-org-7018 294 1025 Young young JJ en-wikipedia-org-7018 294 1026 method method NN en-wikipedia-org-7018 294 1027 Minimax Minimax NNP en-wikipedia-org-7018 294 1028 Condorcet Condorcet NNP en-wikipedia-org-7018 294 1029 Nanson Nanson NNP en-wikipedia-org-7018 294 1030 's 's POS en-wikipedia-org-7018 294 1031 method method NN en-wikipedia-org-7018 294 1032 Ranked Ranked NNP en-wikipedia-org-7018 294 1033 pairs pairs NNP en-wikipedia-org-7018 294 1034 Schulze Schulze NNP en-wikipedia-org-7018 294 1035 method method NN en-wikipedia-org-7018 294 1036 Exhaustive Exhaustive NNP en-wikipedia-org-7018 294 1037 ballot ballot NN en-wikipedia-org-7018 294 1038 First first JJ en-wikipedia-org-7018 294 1039 - - HYPH en-wikipedia-org-7018 294 1040 past past IN en-wikipedia-org-7018 294 1041 - - HYPH en-wikipedia-org-7018 294 1042 the the DT en-wikipedia-org-7018 294 1043 - - HYPH en-wikipedia-org-7018 294 1044 post post NN en-wikipedia-org-7018 294 1045 voting vote VBG en-wikipedia-org-7018 294 1046 Instant Instant NNP en-wikipedia-org-7018 294 1047 - - HYPH en-wikipedia-org-7018 294 1048 runoff runoff NN en-wikipedia-org-7018 294 1049 ( ( -LRB- en-wikipedia-org-7018 294 1050 ranked rank VBN en-wikipedia-org-7018 294 1051 choice choice NN en-wikipedia-org-7018 294 1052 ) ) -RRB- en-wikipedia-org-7018 294 1053 voting vote VBG en-wikipedia-org-7018 294 1054 Coombs Coombs NNP en-wikipedia-org-7018 294 1055 ' ' POS en-wikipedia-org-7018 294 1056 method method NN en-wikipedia-org-7018 294 1057 Majority Majority NNP en-wikipedia-org-7018 294 1058 judgment judgment NN en-wikipedia-org-7018 294 1059 Simple simple JJ en-wikipedia-org-7018 294 1060 majoritarianism majoritarianism NN en-wikipedia-org-7018 294 1061 Plurality Plurality NNP en-wikipedia-org-7018 294 1062 Positional Positional NNP en-wikipedia-org-7018 294 1063 voting voting NN en-wikipedia-org-7018 294 1064 system system NN en-wikipedia-org-7018 294 1065 Score score NN en-wikipedia-org-7018 294 1066 voting vote VBG en-wikipedia-org-7018 294 1067 STAR STAR NNP en-wikipedia-org-7018 294 1068 voting vote VBG en-wikipedia-org-7018 294 1069 Two two CD en-wikipedia-org-7018 294 1070 - - HYPH en-wikipedia-org-7018 294 1071 round round NN en-wikipedia-org-7018 294 1072 system system NN en-wikipedia-org-7018 294 1073 Proportional Proportional NNP en-wikipedia-org-7018 294 1074 CPO CPO NNP en-wikipedia-org-7018 294 1075 - - HYPH en-wikipedia-org-7018 294 1076 STV STV NNP en-wikipedia-org-7018 294 1077 Dual Dual NNP en-wikipedia-org-7018 294 1078 member member NN en-wikipedia-org-7018 294 1079 Hare Hare NNP en-wikipedia-org-7018 294 1080 - - HYPH en-wikipedia-org-7018 294 1081 Clark Clark NNP en-wikipedia-org-7018 294 1082 Highest high JJS en-wikipedia-org-7018 294 1083 averages average NNS en-wikipedia-org-7018 294 1084 method method NN en-wikipedia-org-7018 294 1085 Webster Webster NNP en-wikipedia-org-7018 294 1086 / / SYM en-wikipedia-org-7018 294 1087 Sainte Sainte NNP en-wikipedia-org-7018 294 1088 - - HYPH en-wikipedia-org-7018 294 1089 Laguë Laguë NNP en-wikipedia-org-7018 294 1090 D'Hondt D'Hondt NNP en-wikipedia-org-7018 294 1091 Largest large JJS en-wikipedia-org-7018 294 1092 remainder remainder NN en-wikipedia-org-7018 294 1093 method method NN en-wikipedia-org-7018 294 1094 Mixed Mixed NNP en-wikipedia-org-7018 294 1095 - - HYPH en-wikipedia-org-7018 294 1096 member member NN en-wikipedia-org-7018 294 1097 Party party NN en-wikipedia-org-7018 294 1098 - - HYPH en-wikipedia-org-7018 294 1099 list list NN en-wikipedia-org-7018 294 1100 Schulze Schulze NNP en-wikipedia-org-7018 294 1101 STV STV NNP en-wikipedia-org-7018 294 1102 Single single JJ en-wikipedia-org-7018 294 1103 transferable transferable JJ en-wikipedia-org-7018 294 1104 vote vote NN en-wikipedia-org-7018 294 1105 Semi semi JJ en-wikipedia-org-7018 294 1106 - - JJ en-wikipedia-org-7018 294 1107 proportional proportional JJ en-wikipedia-org-7018 294 1108 Parallel parallel JJ en-wikipedia-org-7018 294 1109 voting vote VBG en-wikipedia-org-7018 294 1110 Single single JJ en-wikipedia-org-7018 294 1111 non non JJ en-wikipedia-org-7018 294 1112 - - JJ en-wikipedia-org-7018 294 1113 transferable transferable JJ en-wikipedia-org-7018 294 1114 vote vote NN en-wikipedia-org-7018 294 1115 Cumulative cumulative JJ en-wikipedia-org-7018 294 1116 voting vote VBG en-wikipedia-org-7018 294 1117 Limited limited JJ en-wikipedia-org-7018 294 1118 voting voting NN en-wikipedia-org-7018 294 1119 Proportional proportional JJ en-wikipedia-org-7018 294 1120 approval approval NN en-wikipedia-org-7018 294 1121 voting vote VBG en-wikipedia-org-7018 294 1122 Sequential sequential JJ en-wikipedia-org-7018 294 1123 proportional proportional JJ en-wikipedia-org-7018 294 1124 approval approval NN en-wikipedia-org-7018 294 1125 voting vote VBG en-wikipedia-org-7018 294 1126 Satisfaction Satisfaction NNP en-wikipedia-org-7018 294 1127 approval approval NN en-wikipedia-org-7018 294 1128 voting vote VBG en-wikipedia-org-7018 294 1129 Alternative alternative JJ en-wikipedia-org-7018 294 1130 vote vote NN en-wikipedia-org-7018 294 1131 plus plus CC en-wikipedia-org-7018 294 1132 Criteria Criteria NNP en-wikipedia-org-7018 294 1133 Condorcet Condorcet NNP en-wikipedia-org-7018 294 1134 criterion criterion NN en-wikipedia-org-7018 294 1135 Condorcet Condorcet NNP en-wikipedia-org-7018 294 1136 loser loser NN en-wikipedia-org-7018 294 1137 criterion criterion NN en-wikipedia-org-7018 294 1138 Consistency Consistency NNP en-wikipedia-org-7018 294 1139 criterion criterion NN en-wikipedia-org-7018 294 1140 Independence independence NN en-wikipedia-org-7018 294 1141 of of IN en-wikipedia-org-7018 294 1142 clones clone NNS en-wikipedia-org-7018 294 1143 Independence Independence NNP en-wikipedia-org-7018 294 1144 of of IN en-wikipedia-org-7018 294 1145 irrelevant irrelevant JJ en-wikipedia-org-7018 294 1146 alternatives alternative NNS en-wikipedia-org-7018 294 1147 Independence Independence NNP en-wikipedia-org-7018 294 1148 of of IN en-wikipedia-org-7018 294 1149 Smith Smith NNP en-wikipedia-org-7018 294 1150 - - HYPH en-wikipedia-org-7018 294 1151 dominated dominate VBN en-wikipedia-org-7018 294 1152 alternatives alternative NNS en-wikipedia-org-7018 294 1153 Later later RBR en-wikipedia-org-7018 294 1154 - - HYPH en-wikipedia-org-7018 294 1155 no no DT en-wikipedia-org-7018 294 1156 - - HYPH en-wikipedia-org-7018 294 1157 harm harm NN en-wikipedia-org-7018 294 1158 criterion criterion NN en-wikipedia-org-7018 294 1159 Majority Majority NNP en-wikipedia-org-7018 294 1160 criterion criterion NN en-wikipedia-org-7018 294 1161 Majority Majority NNP en-wikipedia-org-7018 294 1162 loser loser NN en-wikipedia-org-7018 294 1163 criterion criterion NN en-wikipedia-org-7018 294 1164 Monotonicity Monotonicity NNP en-wikipedia-org-7018 294 1165 criterion criterion NN en-wikipedia-org-7018 294 1166 Mutual mutual JJ en-wikipedia-org-7018 294 1167 majority majority NN en-wikipedia-org-7018 294 1168 criterion criterion NN en-wikipedia-org-7018 294 1169 Pareto Pareto NNP en-wikipedia-org-7018 294 1170 efficiency efficiency NN en-wikipedia-org-7018 294 1171 Participation Participation NNP en-wikipedia-org-7018 294 1172 criterion criterion NN en-wikipedia-org-7018 294 1173 Plurality Plurality NNP en-wikipedia-org-7018 294 1174 criterion criterion NN en-wikipedia-org-7018 294 1175 Resolvability Resolvability NNP en-wikipedia-org-7018 294 1176 criterion criterion NN en-wikipedia-org-7018 294 1177 Reversal reversal NN en-wikipedia-org-7018 294 1178 symmetry symmetry NN en-wikipedia-org-7018 294 1179 Smith Smith NNP en-wikipedia-org-7018 294 1180 criterion criterion NN en-wikipedia-org-7018 294 1181 Quotas Quotas NNP en-wikipedia-org-7018 294 1182 Droop Droop NNP en-wikipedia-org-7018 294 1183 quota quota NN en-wikipedia-org-7018 294 1184 Hagenbach Hagenbach NNP en-wikipedia-org-7018 294 1185 - - HYPH en-wikipedia-org-7018 294 1186 Bischoff Bischoff NNP en-wikipedia-org-7018 294 1187 quota quota NN en-wikipedia-org-7018 294 1188 Hare Hare NNP en-wikipedia-org-7018 294 1189 quota quota NN en-wikipedia-org-7018 294 1190 Imperiali Imperiali NNP en-wikipedia-org-7018 294 1191 quota quota NN en-wikipedia-org-7018 294 1192 Other Other NNP en-wikipedia-org-7018 294 1193 Ballot Ballot NNP en-wikipedia-org-7018 294 1194 Election Election NNP en-wikipedia-org-7018 294 1195 threshold threshold NN en-wikipedia-org-7018 294 1196 First first JJ en-wikipedia-org-7018 294 1197 - - HYPH en-wikipedia-org-7018 294 1198 preference preference NN en-wikipedia-org-7018 294 1199 votes vote NNS en-wikipedia-org-7018 294 1200 Spoilt spoil VBN en-wikipedia-org-7018 294 1201 vote vote NN en-wikipedia-org-7018 294 1202 Sortition Sortition NNP en-wikipedia-org-7018 294 1203 Comparison Comparison NNP en-wikipedia-org-7018 294 1204 Comparison Comparison NNP en-wikipedia-org-7018 294 1205 of of IN en-wikipedia-org-7018 294 1206 voting vote VBG en-wikipedia-org-7018 294 1207 systems system NNS en-wikipedia-org-7018 294 1208 Voting voting NN en-wikipedia-org-7018 294 1209 systems system NNS en-wikipedia-org-7018 294 1210 by by IN en-wikipedia-org-7018 294 1211 country country NN en-wikipedia-org-7018 294 1212 Portal Portal NNP en-wikipedia-org-7018 294 1213 — — : en-wikipedia-org-7018 294 1214 Project Project NNP en-wikipedia-org-7018 294 1215 Authority Authority NNP en-wikipedia-org-7018 294 1216 control control NN en-wikipedia-org-7018 294 1217 GND GND NNP en-wikipedia-org-7018 294 1218 : : : en-wikipedia-org-7018 294 1219 4173334 4173334 CD en-wikipedia-org-7018 294 1220 - - SYM en-wikipedia-org-7018 294 1221 4 4 CD en-wikipedia-org-7018 294 1222 Retrieved retrieve VBN en-wikipedia-org-7018 294 1223 from from IN en-wikipedia-org-7018 294 1224 " " `` en-wikipedia-org-7018 294 1225 https://en.wikipedia.org/w/index.php?title=Pareto_efficiency&oldid=993547483 https://en.wikipedia.org/w/index.php?title=Pareto_efficiency&oldid=993547483 NNP en-wikipedia-org-7018 294 1226 " " '' en-wikipedia-org-7018 294 1227 Categories category NNS en-wikipedia-org-7018 294 1228 : : : en-wikipedia-org-7018 294 1229 Pareto Pareto NNP en-wikipedia-org-7018 294 1230 efficiency efficiency NN en-wikipedia-org-7018 294 1231 Game Game NNP en-wikipedia-org-7018 294 1232 theory theory NN en-wikipedia-org-7018 294 1233 Law law NN en-wikipedia-org-7018 294 1234 and and CC en-wikipedia-org-7018 294 1235 economics economic NNS en-wikipedia-org-7018 294 1236 Welfare Welfare NNP en-wikipedia-org-7018 294 1237 economics economic NNS en-wikipedia-org-7018 294 1238 Mathematical mathematical JJ en-wikipedia-org-7018 294 1239 optimization optimization NN en-wikipedia-org-7018 294 1240 Electoral electoral JJ en-wikipedia-org-7018 294 1241 system system NN en-wikipedia-org-7018 294 1242 criteria criteria VBZ en-wikipedia-org-7018 294 1243 Vilfredo Vilfredo NNP en-wikipedia-org-7018 294 1244 Pareto Pareto NNP en-wikipedia-org-7018 294 1245 Hidden Hidden NNP en-wikipedia-org-7018 294 1246 categories category NNS en-wikipedia-org-7018 294 1247 : : : en-wikipedia-org-7018 294 1248 CS1 cs1 NN en-wikipedia-org-7018 294 1249 : : : en-wikipedia-org-7018 294 1250 long long JJ en-wikipedia-org-7018 294 1251 volume volume NN en-wikipedia-org-7018 294 1252 value value NN en-wikipedia-org-7018 294 1253 Articles article NNS en-wikipedia-org-7018 294 1254 with with IN en-wikipedia-org-7018 294 1255 short short JJ en-wikipedia-org-7018 294 1256 description description NN en-wikipedia-org-7018 294 1257 Short short JJ en-wikipedia-org-7018 294 1258 description description NN en-wikipedia-org-7018 294 1259 is be VBZ en-wikipedia-org-7018 294 1260 different different JJ en-wikipedia-org-7018 294 1261 from from IN en-wikipedia-org-7018 294 1262 Wikidata Wikidata NNP en-wikipedia-org-7018 294 1263 Use Use NNP en-wikipedia-org-7018 294 1264 mdy mdy NN en-wikipedia-org-7018 294 1265 dates date VBZ en-wikipedia-org-7018 294 1266 from from IN en-wikipedia-org-7018 294 1267 January January NNP en-wikipedia-org-7018 294 1268 2016 2016 CD en-wikipedia-org-7018 294 1269 Articles article NNS en-wikipedia-org-7018 294 1270 needing need VBG en-wikipedia-org-7018 294 1271 additional additional JJ en-wikipedia-org-7018 294 1272 references reference NNS en-wikipedia-org-7018 294 1273 from from IN en-wikipedia-org-7018 294 1274 November November NNP en-wikipedia-org-7018 294 1275 2020 2020 CD en-wikipedia-org-7018 294 1276 All all DT en-wikipedia-org-7018 294 1277 articles article NNS en-wikipedia-org-7018 294 1278 needing need VBG en-wikipedia-org-7018 294 1279 additional additional JJ en-wikipedia-org-7018 294 1280 references reference NNS en-wikipedia-org-7018 294 1281 All all DT en-wikipedia-org-7018 294 1282 articles article NNS en-wikipedia-org-7018 294 1283 with with IN en-wikipedia-org-7018 294 1284 unsourced unsourced JJ en-wikipedia-org-7018 294 1285 statements statement NNS en-wikipedia-org-7018 294 1286 Articles article NNS en-wikipedia-org-7018 294 1287 with with IN en-wikipedia-org-7018 294 1288 unsourced unsourced JJ en-wikipedia-org-7018 294 1289 statements statement NNS en-wikipedia-org-7018 294 1290 from from IN en-wikipedia-org-7018 294 1291 November November NNP en-wikipedia-org-7018 294 1292 2020 2020 CD en-wikipedia-org-7018 294 1293 Articles article NNS en-wikipedia-org-7018 294 1294 with with IN en-wikipedia-org-7018 294 1295 unsourced unsourced JJ en-wikipedia-org-7018 294 1296 statements statement NNS en-wikipedia-org-7018 294 1297 from from IN en-wikipedia-org-7018 294 1298 July July NNP en-wikipedia-org-7018 294 1299 2020 2020 CD en-wikipedia-org-7018 294 1300 CS1 CS1 NNP en-wikipedia-org-7018 294 1301 maint maint NN en-wikipedia-org-7018 294 1302 : : : en-wikipedia-org-7018 294 1303 ref ref NN en-wikipedia-org-7018 294 1304 = = SYM en-wikipedia-org-7018 294 1305 harv harv NN en-wikipedia-org-7018 294 1306 Wikipedia Wikipedia NNP en-wikipedia-org-7018 294 1307 articles article NNS en-wikipedia-org-7018 294 1308 with with IN en-wikipedia-org-7018 294 1309 GND GND NNP en-wikipedia-org-7018 294 1310 identifiers identifiers NNPS en-wikipedia-org-7018 294 1311 Navigation Navigation NNP en-wikipedia-org-7018 294 1312 menu menu MD en-wikipedia-org-7018 294 1313 Personal personal JJ en-wikipedia-org-7018 294 1314 tools tool NNS en-wikipedia-org-7018 294 1315 Not not RB en-wikipedia-org-7018 294 1316 logged log VBN en-wikipedia-org-7018 294 1317 in in IN en-wikipedia-org-7018 294 1318 Talk Talk NNP en-wikipedia-org-7018 294 1319 Contributions Contributions NNP en-wikipedia-org-7018 294 1320 Create Create NNP en-wikipedia-org-7018 294 1321 account account NN en-wikipedia-org-7018 294 1322 Log Log NNP en-wikipedia-org-7018 294 1323 in in IN en-wikipedia-org-7018 294 1324 Namespaces Namespaces NNP en-wikipedia-org-7018 294 1325 Article Article NNP en-wikipedia-org-7018 294 1326 Talk talk NN en-wikipedia-org-7018 294 1327 Variants variant VBZ en-wikipedia-org-7018 294 1328 Views view NNS en-wikipedia-org-7018 294 1329 Read read VBP en-wikipedia-org-7018 294 1330 Edit edit NN en-wikipedia-org-7018 294 1331 View View NNP en-wikipedia-org-7018 294 1332 history history NN en-wikipedia-org-7018 294 1333 More More JJR en-wikipedia-org-7018 294 1334 Search Search NNP en-wikipedia-org-7018 294 1335 Navigation Navigation NNP en-wikipedia-org-7018 294 1336 Main Main NNP en-wikipedia-org-7018 294 1337 page page NN en-wikipedia-org-7018 294 1338 Contents content VBZ en-wikipedia-org-7018 294 1339 Current current JJ en-wikipedia-org-7018 294 1340 events event NNS en-wikipedia-org-7018 294 1341 Random random JJ en-wikipedia-org-7018 294 1342 article article NN en-wikipedia-org-7018 294 1343 About about IN en-wikipedia-org-7018 294 1344 Wikipedia Wikipedia NNP en-wikipedia-org-7018 294 1345 Contact Contact NNP en-wikipedia-org-7018 294 1346 us -PRON- PRP en-wikipedia-org-7018 294 1347 Donate Donate NNP en-wikipedia-org-7018 294 1348 Contribute contribute NN en-wikipedia-org-7018 294 1349 Help help NN en-wikipedia-org-7018 294 1350 Learn learn VB en-wikipedia-org-7018 294 1351 to to TO en-wikipedia-org-7018 294 1352 edit edit VB en-wikipedia-org-7018 294 1353 Community community NN en-wikipedia-org-7018 294 1354 portal portal JJ en-wikipedia-org-7018 294 1355 Recent recent JJ en-wikipedia-org-7018 294 1356 changes change NNS en-wikipedia-org-7018 294 1357 Upload upload JJ en-wikipedia-org-7018 294 1358 file file NN en-wikipedia-org-7018 294 1359 Tools tool NNS en-wikipedia-org-7018 294 1360 What what WP en-wikipedia-org-7018 294 1361 links link NNS en-wikipedia-org-7018 294 1362 here here RB en-wikipedia-org-7018 294 1363 Related relate VBN en-wikipedia-org-7018 294 1364 changes change VBZ en-wikipedia-org-7018 294 1365 Upload upload JJ en-wikipedia-org-7018 294 1366 file file VBP en-wikipedia-org-7018 294 1367 Special special JJ en-wikipedia-org-7018 294 1368 pages page NNS en-wikipedia-org-7018 294 1369 Permanent permanent JJ en-wikipedia-org-7018 294 1370 link link NN en-wikipedia-org-7018 294 1371 Page Page NNP en-wikipedia-org-7018 294 1372 information information NN en-wikipedia-org-7018 294 1373 Cite cite VB en-wikipedia-org-7018 294 1374 this this DT en-wikipedia-org-7018 294 1375 page page NN en-wikipedia-org-7018 294 1376 Wikidata wikidata NN en-wikipedia-org-7018 294 1377 item item NN en-wikipedia-org-7018 294 1378 Print print NN en-wikipedia-org-7018 294 1379 / / SYM en-wikipedia-org-7018 294 1380 export export NN en-wikipedia-org-7018 294 1381 Download Download NNP en-wikipedia-org-7018 294 1382 as as IN en-wikipedia-org-7018 294 1383 PDF PDF NNP en-wikipedia-org-7018 294 1384 Printable Printable NNP en-wikipedia-org-7018 294 1385 version version NN en-wikipedia-org-7018 294 1386 In in IN en-wikipedia-org-7018 294 1387 other other JJ en-wikipedia-org-7018 294 1388 projects project NNS en-wikipedia-org-7018 294 1389 Wikimedia Wikimedia NNP en-wikipedia-org-7018 294 1390 Commons Commons NNPS en-wikipedia-org-7018 294 1391 Languages Languages NNPS en-wikipedia-org-7018 294 1392 العربية العربية NN en-wikipedia-org-7018 294 1393 Azərbaycanca Azərbaycanca NNP en-wikipedia-org-7018 294 1394 Български Български NNP en-wikipedia-org-7018 294 1395 Català Català NNP en-wikipedia-org-7018 294 1396 Čeština Čeština NNP en-wikipedia-org-7018 294 1397 Dansk Dansk NNP en-wikipedia-org-7018 294 1398 Deutsch Deutsch NNP en-wikipedia-org-7018 294 1399 Eesti Eesti NNP en-wikipedia-org-7018 294 1400 Ελληνικά Ελληνικά NNP en-wikipedia-org-7018 294 1401 Español Español NNP en-wikipedia-org-7018 294 1402 Esperanto Esperanto NNP en-wikipedia-org-7018 294 1403 Euskara Euskara NNP en-wikipedia-org-7018 294 1404 فارسی فارسی JJ en-wikipedia-org-7018 294 1405 Français Français NNP en-wikipedia-org-7018 294 1406 Galego Galego NNP en-wikipedia-org-7018 294 1407 한국어 한국어 NN en-wikipedia-org-7018 294 1408 Հայերեն Հայերեն NNP en-wikipedia-org-7018 294 1409 Íslenska Íslenska NNP en-wikipedia-org-7018 294 1410 Italiano Italiano NNP en-wikipedia-org-7018 294 1411 עברית עברית NN en-wikipedia-org-7018 294 1412 Lietuvių Lietuvių NNP en-wikipedia-org-7018 294 1413 Magyar Magyar NNP en-wikipedia-org-7018 294 1414 Македонски Македонски NNP en-wikipedia-org-7018 294 1415 Nederlands Nederlands NNP en-wikipedia-org-7018 294 1416 日本語 日本語 NNP en-wikipedia-org-7018 294 1417 Norsk Norsk NNP en-wikipedia-org-7018 294 1418 bokmål bokmål NN en-wikipedia-org-7018 294 1419 Polski Polski NNP en-wikipedia-org-7018 294 1420 Português Português NNP en-wikipedia-org-7018 294 1421 Română Română NNP en-wikipedia-org-7018 294 1422 Русский Русский NNP en-wikipedia-org-7018 294 1423 Simple Simple NNP en-wikipedia-org-7018 294 1424 English English NNP en-wikipedia-org-7018 294 1425 Српски Српски NNP en-wikipedia-org-7018 294 1426 / / SYM en-wikipedia-org-7018 294 1427 srpski srpski JJ en-wikipedia-org-7018 294 1428 Suomi Suomi NNP en-wikipedia-org-7018 294 1429 Svenska Svenska NNP en-wikipedia-org-7018 294 1430 Türkçe Türkçe NNP en-wikipedia-org-7018 294 1431 Українська Українська NNP en-wikipedia-org-7018 294 1432 Tiếng Tiếng NNP en-wikipedia-org-7018 294 1433 Việt Việt NNP en-wikipedia-org-7018 294 1434 粵語 粵語 NNP en-wikipedia-org-7018 294 1435 中文 中文 NNP en-wikipedia-org-7018 294 1436 Edit Edit NNP en-wikipedia-org-7018 294 1437 links link NNS en-wikipedia-org-7018 294 1438 This this DT en-wikipedia-org-7018 294 1439 page page NN en-wikipedia-org-7018 294 1440 was be VBD en-wikipedia-org-7018 294 1441 last last RB en-wikipedia-org-7018 294 1442 edited edit VBN en-wikipedia-org-7018 294 1443 on on IN en-wikipedia-org-7018 294 1444 11 11 CD en-wikipedia-org-7018 294 1445 December December NNP en-wikipedia-org-7018 294 1446 2020 2020 CD en-wikipedia-org-7018 294 1447 , , , en-wikipedia-org-7018 294 1448 at at IN en-wikipedia-org-7018 294 1449 04:47 04:47 CD en-wikipedia-org-7018 294 1450   _SP en-wikipedia-org-7018 294 1451 ( ( -LRB- en-wikipedia-org-7018 294 1452 UTC UTC NNP en-wikipedia-org-7018 294 1453 ) ) -RRB- en-wikipedia-org-7018 294 1454 . . . en-wikipedia-org-7018 295 1 Text text NN en-wikipedia-org-7018 295 2 is be VBZ en-wikipedia-org-7018 295 3 available available JJ en-wikipedia-org-7018 295 4 under under IN en-wikipedia-org-7018 295 5 the the DT en-wikipedia-org-7018 295 6 Creative Creative NNP en-wikipedia-org-7018 295 7 Commons Commons NNP en-wikipedia-org-7018 295 8 Attribution Attribution NNP en-wikipedia-org-7018 295 9 - - HYPH en-wikipedia-org-7018 295 10 ShareAlike ShareAlike NNP en-wikipedia-org-7018 295 11 License License NNP en-wikipedia-org-7018 295 12 ; ; , en-wikipedia-org-7018 295 13 additional additional JJ en-wikipedia-org-7018 295 14 terms term NNS en-wikipedia-org-7018 295 15 may may MD en-wikipedia-org-7018 295 16 apply apply VB en-wikipedia-org-7018 295 17 . . . en-wikipedia-org-7018 296 1 By by IN en-wikipedia-org-7018 296 2 using use VBG en-wikipedia-org-7018 296 3 this this DT en-wikipedia-org-7018 296 4 site site NN en-wikipedia-org-7018 296 5 , , , en-wikipedia-org-7018 296 6 you -PRON- PRP en-wikipedia-org-7018 296 7 agree agree VBP en-wikipedia-org-7018 296 8 to to IN en-wikipedia-org-7018 296 9 the the DT en-wikipedia-org-7018 296 10 Terms term NNS en-wikipedia-org-7018 296 11 of of IN en-wikipedia-org-7018 296 12 Use Use NNP en-wikipedia-org-7018 296 13 and and CC en-wikipedia-org-7018 296 14 Privacy Privacy NNP en-wikipedia-org-7018 296 15 Policy Policy NNP en-wikipedia-org-7018 296 16 . . . en-wikipedia-org-7018 297 1 Wikipedia Wikipedia NNP en-wikipedia-org-7018 297 2 ® ® NNPS en-wikipedia-org-7018 297 3 is be VBZ en-wikipedia-org-7018 297 4 a a DT en-wikipedia-org-7018 297 5 registered registered JJ en-wikipedia-org-7018 297 6 trademark trademark NN 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Inc. NNP en-wikipedia-org-7018 297 13 , , , en-wikipedia-org-7018 297 14 a a DT en-wikipedia-org-7018 297 15 non non JJ en-wikipedia-org-7018 297 16 - - JJ en-wikipedia-org-7018 297 17 profit profit JJ en-wikipedia-org-7018 297 18 organization organization NN en-wikipedia-org-7018 297 19 . . . en-wikipedia-org-7018 298 1 Privacy privacy NN en-wikipedia-org-7018 298 2 policy policy NN en-wikipedia-org-7018 298 3 About about IN en-wikipedia-org-7018 298 4 Wikipedia Wikipedia NNP en-wikipedia-org-7018 298 5 Disclaimers Disclaimers NNPS en-wikipedia-org-7018 298 6 Contact Contact NNP en-wikipedia-org-7018 298 7 Wikipedia Wikipedia NNP en-wikipedia-org-7018 298 8 Mobile Mobile NNP en-wikipedia-org-7018 298 9 view view NN en-wikipedia-org-7018 298 10 Developers Developers NNP en-wikipedia-org-7018 298 11 Statistics Statistics NNP en-wikipedia-org-7018 298 12 Cookie Cookie NNP en-wikipedia-org-7018 298 13 statement statement NN