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Bayes Correlated Equilibrium and the Comparison of Information Structures in Games

Dirk Bergemann () and Stephen Morris ()

No 1909R3, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: A game of incomplete information can be decomposed into a basic game and an information structure. The basic game defines the set of actions, the set of payoff states the payoff functions and the common prior over the payoff states. The information structure refers to the signals that the players receive in the game. We characterize the set of outcomes that can arise in Bayes Nash equilibrium if players observe the given information structure but may also observe additional signals. The characterization corresponds to the set of (a version of) incomplete information correlated equilibria which we dub Bayes correlated equilibria. We identify a partial order on many player information structures (individual sufficiency) under which more information shrinks the set of Bayes correlated equilibria. This order captures the role of information in imposing (incentive) constraints on behavior.

Keywords: Correlated equilibrium; Incomplete information; Bayes Nash equilibrium; Bayes correlated equilibrium; Robust predictions; Information structure; Sufficiency; Blackwell ordering (search for similar items in EconPapers)
JEL-codes: C72 D82 D83 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-cta, nep-gth, nep-hpe and nep-mic
Date: 2013-09, Revised 2015-04
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Published in Theoretical Economics (May 2016), 11(2): 487–522

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Related works:
Journal Article: Bayes correlated equilibrium and the comparison of information structures in games (2016) Downloads
Working Paper: Bayes Correlated Equilibrium and the Comparison of Information Structures in Games (2015) Downloads
Working Paper: Bayes Correlated Equilibrium and the Comparison of Information Structures in Games (2014) Downloads
Working Paper: Bayes Correlated Equilibrium and the Comparison of Information Structures in Games (2013) Downloads
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