id author title date pages extension mime words sentences flesch summary cache txt work_aauo62tjqbfofjqgw25dbvgrty Enrico De Giorgi The α-beauty contest: Choosing numbers, thinking intervals 2008 23 .pdf application/pdf 7612 1207 78 Winning Number equals the rational Nash equilibrium 0, while if players have only finite confidence in their recent guess, the Winning Number in the 1-shot setting is strictly larger If a player guesses that the Winning Number is about 23, then the interval chosen might distribution of guessed numbers observed in the experimental results. all players are informed about the resulting Winning Number of the previous round. We assume that players use an iterative thinking process to guess the numbers which is the number that player ν would announce at step k of her thinking process, Xk is the expected Winning Number differs from the game-theoretic equilibrium 0 if the confidence thinking process would generated the asymptotic expected Winning Number y⋆ = y⋆0 c(ǫ). result, where the number of thinking level of each player is the outcome of a Poisson distributed random variable with τ = 4, while the confidence parameter is randomly chosen ./cache/work_aauo62tjqbfofjqgw25dbvgrty.pdf ./txt/work_aauo62tjqbfofjqgw25dbvgrty.txt