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Consistency of Vanishingly Smooth Fictitious Play

Author

Listed:
  • Michel Benaïm

    (UNINE - Institut de Mathématiques - UNINE - Université de Neuchâtel = University of Neuchatel)

  • Mathieu Faure

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Michel Benaïm & Mathieu Faure, 2013. "Consistency of Vanishingly Smooth Fictitious Play," Post-Print hal-01498243, HAL.
    • Handle: RePEc:hal:journl:hal-01498243
    DOI: 10.1287/moor.1120.0568
    as

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    Citations

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    Cited by:

    1. Bravo, Mario & Mertikopoulos, Panayotis, 2017. "On the robustness of learning in games with stochastically perturbed payoff observations," Games and Economic Behavior, Elsevier, vol. 103(C), pages 41-66.
    2. Lucas Baudin & Rida Laraki, 2022. "Fictitious Play and Best-Response Dynamics in Identical Interest and Zero Sum Stochastic Games," Post-Print hal-03767937, HAL.
    3. Saeed Hadikhanloo & Rida Laraki & Panayotis Mertikopoulos & Sylvain Sorin, 2022. "Learning in nonatomic games, part Ⅰ: Finite action spaces and population games," Post-Print hal-03767995, HAL.

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    Keywords

    Economie quantitative;

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