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It is shown by example that learning rules of the fictitious play type fail to converge in certain kinds of coordination games. Variants of fictitious play in which past actions are eventually forgotten and that incorporate small stochastic perturbations are better behaved for this class of games: over the long run, players coordinate with probability one.Journal of Economic LiteratureClassification Numbers: C70, C72.
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Foster et al. (1998) studied this question.
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