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Bayesian Learning Leads to Correlated Equilibria in Normal Form Games

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Author Info
Nyarko, Yaw
Abstract

Consider an infinitely repeated normal form game where each player is characterized by a "type" which may be unknown to the other players of the game. Impose only two conditions on the behavior of the players. First, impose the Savage (1954) axioms; i.e., each player has some beliefs about the evolution of the game and maximizes its expected payoffs at each date given those beliefs. Second, suppose that any event which has probability zero under one player's beliefs also has probability zero under the other player's beliefs. We show that under these two conditions limit points of beliefs and of the empirical distributions (i.e., sample path averages or histograms) are correlated equilibria of the "true" game (i.e., the game characterized by the true vector of types).

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 4 (1994)
Issue (Month): 6 (October)
Pages: 821-41
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Handle: RePEc:spr:joecth:v:4:y:1994:i:6:p:821-41

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  1. Dean Foster & Peyton Young, . "Learning with Hazy Beliefs," ELSE working papers 023, ESRC Centre on Economics Learning and Social Evolution. [Downloadable!]
  2. Mario Gilli, 2002. "Rational Learning in Imperfect Monitoring Games," Working Papers 46, University of Milano-Bicocca, Department of Economics, revised Mar 2002. [Downloadable!]
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This page was last updated on 2009-12-22.


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