A strong correlated equilibrium is a correlated strategy profile that is immune to joint deviations. Different notions of strong correlated equilibria have been defined in the literature. One major difference among those definitions is the stage in which coalitions can plan a joint deviation: before (ex-ante) or after (ex-post) the deviating players receive their part of the correlated profile. In this note we show that an ex-ante strong correlated equilibrium (Moreno D., Wooders J., 1996. Games Econ. Behav. 17, 80-113) is immune to deviations at all stages of any pre-play signalling process that implements it. Thus the set of ex-ante strong correlated equilibria is included in all other sets of strong correlated equilibria.
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Find related papers by JEL classification: C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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Robert J. Aumann & Sergiu Hart, 2003.
"Long Cheap Talk,"
Econometrica,
Econometric Society, vol. 71(6), pages 1619-1660, November.
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Robert J. Aumann & Sergiu Hart, 2002.
"Long Cheap Talk,"
Discussion Paper Series
dp284, Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem, revised Nov 2002.
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