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Existence of sparsely supported correlated equilibria

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Abstract

We show that every finite N-player normal form game possesses a correlated equilibrium with a precise lower bound on the number of outcomes to which it assigns zero probability. In particular, the largest games with a unique fully supported correlated equilibrium are two-player games; moreover, the lower bound grows exponentially in the number of players N.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/907.pdf
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Bibliographic Info

Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 907.

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Date of creation: Oct 2005
Date of revision: Apr 2006
Handle: RePEc:upf:upfgen:907

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Web page: http://www.econ.upf.edu/

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Keywords: Correlated equilibrium; finite games;

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  1. R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
  2. Noa Nitzan, 2005. "Tight Correlated Equilibrium," Discussion Paper Series, The Center for the Study of Rationality, Hebrew University, Jerusalem dp394, The Center for the Study of Rationality, Hebrew University, Jerusalem.
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Cited by:
  1. Noah Stein & Asuman Ozdaglar & Pablo Parrilo, 2011. "Structure of extreme correlated equilibria: a zero-sum example and its implications," International Journal of Game Theory, Springer, Springer, vol. 40(4), pages 749-767, November.
  2. Stein, Noah D. & Parrilo, Pablo A. & Ozdaglar, Asuman, 2011. "Correlated equilibria in continuous games: Characterization and computation," Games and Economic Behavior, Elsevier, Elsevier, vol. 71(2), pages 436-455, March.

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