Consistency of Vanishingly Smooth Fictitious Play

Authors:
Michel Benaïm;Mathieu Faure
Affiliations:
Institut de Mathématiques, Université de Neuchâtel, Neuchâtel. Switzerland;Aix-Marseille University Aix-Marseille School of Economics, CNRS and EHESS, 13002 Marseille, France
Venue:
Mathematics of Operations Research
Year:
2013

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Abstract

We discuss consistency of vanishingly smooth fictitious play, a strategy in the context of game theory, which can be regarded as a smooth fictitious play procedure, where the smoothing parameter is time dependent and asymptotically vanishes. This answers a question initially raised by Drew Fudenberg and Satoru Takahashi.