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Bayesian repeated games and reputation

Antoine Salomon () and Francoise Forges
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Antoine Salomon: LEDa - Laboratoire d'Economie de Dauphine - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres

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Abstract: We consider two-person undiscounted and discounted infinitely repeated games in which every player privately knows his own payoffs (private values). Under a further assumption (existence of uniform punishment strategies), the Nash equilibria of the Bayesian infinitely repeated game without discounting are payoff-equivalent to tractable, completely revealing, equilibria. This characterization does not apply to discounted games with sufficiently patient players. We show that in a class of public good games, the set of Nash equilibrium payoffs of the undiscounted game can be empty, while limit (perfect Bayesian) Nash equilibrium payoffs of the discounted game, as players become increasingly patient, do exist. These equilibria share some features with the ones of two-sided reputation models.

Date: 2015
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Citations: View citations in EconPapers (2)

Published in Journal of Economic Theory, 2015, 59 (Part A), ⟨10.1016/j.jet.2015.05.014⟩

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Related works:
Journal Article: Bayesian repeated games and reputation (2015) Downloads
Working Paper: Bayesian Repeated Games and Reputations (2014) Downloads
Working Paper: Bayesian repeated games and reputation (2014) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01252921

DOI: 10.1016/j.jet.2015.05.014

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