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Logical gaps in the approximate solutions of the social learning game and an exact solution
After the social learning models were proposed, finding the solutions of the
games becomes a well-defined mathematical question. However, almost all papers
on the games and their applications are based on solutions built upon either an
add-hoc argument or a twisted Bayesian analysis of the games. Here, we present
logical gaps in those solutions and an exact solution of our own. We also
introduced a minor extension to the original game such that not only logical
difference but also difference in action outcomes among those solutions become
visible.Comment: A major revisio
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