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Learning in Repeated Games without Repeating the Game

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  • Patrick Leoni

Abstract

This paper extends the convergence result on Bayesian learning in Kalai and Lehrer (1993a, 1993b) to a class of games where players have a payoff function continuous for the product topology. Provided that 1) every player maximizes her expected payoff against her own beliefs, 2) every player updates her beliefs in a Bayesian manner, and 3) prior beliefs other players� strategies have a grain of truth, we show that after some finite time the equilibrium outcome of the above game is arbitrarily close to a Nash equilibrium. Those assumptions are shown to be tight.

Suggested Citation

  • Patrick Leoni, "undated". "Learning in Repeated Games without Repeating the Game," IEW - Working Papers 215, Institute for Empirical Research in Economics - University of Zurich.
    • Handle: RePEc:zur:iewwpx:215
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    File URL: https://www.zora.uzh.ch/id/eprint/52110/1/iewwp215.pdf
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    References listed on IDEAS

    as
    1. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
    2. Kalai, Ehud & Lehrer, Ehud, 1993. "Subjective Equilibrium in Repeated Games," Econometrica, Econometric Society, vol. 61(5), pages 1231-1240, September.
    3. D. Blackwell & L. Dubins, 2010. "Merging of Opinions with Increasing Information," Levine's Working Paper Archive 565, David K. Levine.
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    Cited by:

    1. Fehr, Ernst & Fischbacher, Urs & Kosfeld, Michael, 2005. "Neuroeconomic Foundations of Trust and Social Preferences," IZA Discussion Papers 1641, Institute of Labor Economics (IZA).
    2. Armin Falk & Ernst Fehr & Christian Zehnder, "undated". "The Behavioral Effects of Minimum Wages," IEW - Working Papers 247, Institute for Empirical Research in Economics - University of Zurich.
    3. Tania Singer & Ernst Fehr, 2005. "The Neuroeconomics of Mind Reading and Empathy," American Economic Review, American Economic Association, vol. 95(2), pages 340-345, May.

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    More about this item

    Keywords

    learning; product topology;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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