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Correlated equilibrium and potential games

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Abstract

Any correlated equilibrium of a strategic game with bounded payoffs and convex strategy sets which has a smooth concave potential, is a mixture of pure strategy profiles which maximize the potential. If moreover, the strategy sets are compact and the potential is strictly concave, then the game has a unique correlated equilibrium.

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First version: November 1991. This research was supported by NSF Grant SES 8922610.

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Neyman, A. Correlated equilibrium and potential games. Int J Game Theory 26, 223–227 (1997). https://doi.org/10.1007/BF01295851

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  • DOI: https://doi.org/10.1007/BF01295851

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