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Correlated Equilibrium in Games with Incomplete Information

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  • Dirk Bergemann
  • Stephen Morris

Abstract

We define a notion of correlated equilibrium for games with incomplete information in a general setting with finite players, finite actions, and finite states, which we call Bayes correlated equilibrium. The set of Bayes correlated equilibria of a fixed incomplete information game equals the set of probability distributions over actions, states and types that might arise in any Bayes Nash equilibrium where players observed additional information. We show that more information always shrinks the set of Bayes correlated equilibria.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 786969000000000265.

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Date of creation: 20 Oct 2011
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Handle: RePEc:cla:levarc:786969000000000265

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  1. Emir Kamenica & Matthew Gentzkow, 2009. "Bayesian Persuasion," NajEcon Working Paper Reviews 814577000000000369, www.najecon.org.
  2. Ely, Jeffrey C. & Peski, Marcin, 2006. "Hierarchies of belief and interim rationalizability," Theoretical Economics, Econometric Society, vol. 1(1), pages 19-65, March.
  3. F. Forges & Frederic Koessler, 2003. "Communication Equilibria with Partially Verifiable Types," THEMA Working Papers 2003-10, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  4. Andrew Caplin & Daniel Martin, 2013. "A Testable Theory of Imperfect Perception," Levine's Working Paper Archive 786969000000000649, David K. Levine.
  5. Dirk Bergemann & Stephen Morris, 2007. "Belief Free Incomplete Information Games," Levine's Bibliography 122247000000001569, UCLA Department of Economics.
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Cited by:
  1. Blume, Andreas, 2012. "A class of strategy-correlated equilibria in sender–receiver games," Games and Economic Behavior, Elsevier, vol. 75(2), pages 510-517.

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