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A Constructive Proof that Learning in Repeated Games Leads to Nash Equilibria

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Author Info
Patrick L. Leoni (University of Southern Denmark)
Abstract

This paper extends the convergence result 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 of other players' strategies have a grain of truth, we construct a Nash equilibrium such that, after some finite time, the equilibrium outcome of the above game is arbitrarily close to the constructed Nash equilibrium.

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File URL: http://www.bepress.com/cgi/viewcontent.cgi?article=1462&context=bejte
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Publisher Info
Article provided by Berkeley Electronic Press in its journal The B.E. Journal of Theoretical Economics.

Volume (Year): 8 (2009)
Issue (Month): 1 ()
Pages:
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Handle: RePEc:bpj:bejtec:v:8:y:2009:i:1:n:29

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Related research
Keywords: learning in games; product topology; Nash convergence;

Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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This page was last updated on 2009-12-17.

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