The Comparison of Information Structures in Games: Bayes Correlated Equilibrium and Individual Sufficiency
We define and characterize a notion of correlated equilibrium for games with incomplete information, which we call Bayes correlated equilibrium: The set of outcomes that can arise in Bayes Nash equilibria of an incomplete information game where players may have access to additional signals beyond the information structure is characterized and shown to be equivalent to the set of Bayes correlated equilibria. A game of incomplete information can be decomposed into a basic game, given by actions sets and payoff functions, and an information structure. We introduce a partial order on many player information structures -- which we call individual sufficiency -- under which more information shrinks the set of Bayes correlated equilibria. We discuss the relation of the solution concept to alternative definitions of correlated equilibrium in incomplete information games and of the partial order on information structures to others, including Blackwell's for the single player case.
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- Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, March.
- FORGES, Françoise, .
"Five legitimate definitions of correlated equilibrium in games with incomplete informations,"
CORE Discussion Papers RP
1071, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- FORGES , Françoise, 1993. "Five Legitimate Definitions of Correlated Equilibrium in Games with Incomplete Information," CORE Discussion Papers 1993009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Aumann, Robert J, 1987.
"Correlated Equilibrium as an Expression of Bayesian Rationality,"
Econometric Society, vol. 55(1), pages 1-18, January.
- R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
- Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
- R. Aumann, 2010.
"Subjectivity and Correlation in Randomized Strategies,"
Levine's Working Paper Archive
389, David K. Levine.
- Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
- AUMANN, Robert J., . "Subjectivity and correlation in randomized strategies," CORE Discussion Papers RP 167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Andrew Caplin & Daniel Martin, 2013.
"A Testable Theory of Imperfect Perception,"
Levine's Working Paper Archive
786969000000000649, David K. Levine.
- Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, vol. 61(4), pages 561-74, September.
- Lehrer, Ehud & Rosenberg, Dinah & Shmaya, Eran, 2010.
"Signaling and mediation in games with common interests,"
Games and Economic Behavior,
Elsevier, vol. 68(2), pages 670-682, March.
- Dinah Rosenberg & Ehud Lehrer & Eran Shmaya, 2010. "Signaling and mediation in games with common interest," Post-Print hal-00528396, HAL.
- Neyman, Abraham, 1991. "The positive value of information," Games and Economic Behavior, Elsevier, vol. 3(3), pages 350-355, August.
- Ina A Taneva, 2015. "Information Design," ESE Discussion Papers 256, Edinburgh School of Economics, University of Edinburgh.
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