title: Logical gaps in the approximate solutions of the social learning game and an exact solution.
abstract: After the social learning models were proposed, finding solutions to the games becomes a well-defined mathematical question. However, almost all papers on the games and their applications are based on solutions built either upon an ad-hoc argument or a twisted Bayesian analysis of the games. Here, we present logical gaps in those solutions and offer an exact solution of our own. We also introduce a minor extension to the original game so that not only logical differences but also differences in action outcomes among those solutions become visible.
authors.affiliation: School of Systems Science, Beijing Normal University, Beijing, P.R. China.
authors.forename: Wenjie
authors.initials: W
authors.lastname: Dai
authors.affiliation: School of Systems Science, Beijing Normal University, Beijing, P.R. China.
authors.forename: Xin
authors.initials: X
authors.lastname: Wang
authors.affiliation: School of Systems Science, Beijing Normal University, Beijing, P.R. China.
authors.forename: Zengru
authors.initials: Z
authors.lastname: Di
authors.affiliation: School of Systems Science, Beijing Normal University, Beijing, P.R. China.
authors.forename: Jinshan
authors.initials: J
authors.lastname: Wu
mesh_terms: D001499:Bayes Theorem; D017143:Fuzzy Logic; D005716:Game Theory; D006801:Humans; D007858:Learning; D055641:Mathematical Concepts