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Bayesian Game Theorists and Non-Bayesian Players

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  • Guilhem Lecouteux

    (Université Côte d'Azur
    GREDEG CNRS)

Abstract

Bayesian game theorists claim to represent players as Bayes rational agents, maximising their expected utility given their beliefs about the choices of other players. I argue that this narrative is inconsistent with the formal structure of Bayesian game theory. This is because (i) the assumption of common belief in rationality is equivalent to equilibrium play, as in classical game theory, and (ii) the players' prior beliefs are a mere mathematical artefact and not actual beliefs held by the players. Bayesian game theory is thus a Bayesian representation of the choice of players who are committed to play equilibrium strategy profiles.

Suggested Citation

  • Guilhem Lecouteux, 2017. "Bayesian Game Theorists and Non-Bayesian Players," GREDEG Working Papers 2017-30, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis, revised Jul 2018.
  • Handle: RePEc:gre:wpaper:2017-30
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    More about this item

    Keywords

    Bayesianism; common belief in rationality; epistemic game theory; interactive epistemology; prior beliefs;

    JEL classification:

    • B21 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Microeconomics
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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