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Repeated games with incomplete information on one side

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Author Info

  • Peski, Marcin

    ()
    (Department of Economics, University of Chicago)

Abstract

This paper studies repeated games with incomplete information on one side and equal discount factors for both players. The payoffs of the informed player I depend on one of two possible states of the world, which is known to her. The payoffs of the uninformed player U do not depend on the state of the world (that is, U knows his payoffs), but player I's behavior makes knowledge of the state of interest to player U. We define a finitely revealing equilibrium as a Bayesian perfect equilibrium where player I reveals information in a bounded number of periods. We define an ICR profile as a strategy profile in which (a) after each history the players have individually rational payoffs and (b) no type of player I wants to mimic the behavior of the other type. We show that when the players are patient, all Nash equilibrium payoffs in the repeated game can be approximated by payoffs in finitely revealing equilibria, which themselves approximate the set of all ICR payoffs. We provide a geometric characterization of the set of equilibrium payoffs, which can be used for computations.

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File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20080029/1636/77
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Bibliographic Info

Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 3 (2008)
Issue (Month): 1 (March)
Pages:

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Handle: RePEc:the:publsh:240

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Web page: http://econtheory.org

Related research

Keywords: Repeated games; incomplete information; discounting;

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Cited by:
  1. Francoise Forges & Antoine Salomon, 2014. "Bayesian repeated games and reputation," Working Papers hal-00803919, HAL.
  2. Rosenberg, Dinah & Solan, Eilon & Vieille, Nicolas, 2013. "Strategic information exchange," Games and Economic Behavior, Elsevier, vol. 82(C), pages 444-467.
  3. Lovo, Stefano & Tomala, Tristan & Hörner, Johannes, 2009. "Belief-free equilibria in games with incomplete information: characterization and existence," Les Cahiers de Recherche 921, HEC Paris.

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