Consistency of Vanishingly Smooth Fictitious Play

Michel Benaïm (1) , Mathieu Faure (2)

1 UNINE - Institut de Mathématiques
2 GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille

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.

Keywords: Economie quantitative

Domains: Humanities and Social Sciences; Humanities and Social Sciences; Economics and Finance

Michel Benaïm, Mathieu Faure. Consistency of Vanishingly Smooth Fictitious Play. Mathematics of Operations Research, 2013, 38 (3), pp.437-450. ⟨10.1287/moor.1120.0568⟩. ⟨hal-01498243⟩