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Existence of Sparsely Supported Correlated Equilibria

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  • Fabrizio Germano

  • Gábor Lugosi

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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Suggested Citation

  • Fabrizio Germano & Gábor Lugosi, 2007. "Existence of Sparsely Supported Correlated Equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 575-578, September.
    • Handle: RePEc:spr:joecth:v:32:y:2007:i:3:p:575-578
    DOI: 10.1007/s00199-006-0127-1
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    References listed on IDEAS

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    1. Robert J. Aumann, 2025. "Subjectivity and Correlation in Randomized Strategies," World Scientific Book Chapters, in: SELECTED CONTRIBUTIONS TO GAME THEORY, chapter 4, pages 73-113, World Scientific Publishing Co. Pte. Ltd..
    2. Sergiu Hart & David Schmeidler, 2013. "Existence Of Correlated Equilibria," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 1, pages 3-14, World Scientific Publishing Co. Pte. Ltd..
    3. Sergiu Hart & David Schmeidler, 2013. "Existence Of Correlated Equilibria," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 1, pages 3-14, World Scientific Publishing Co. Pte. Ltd..
    4. Noa Nitzan, 2005. "Tight Correlated Equilibrium," Discussion Paper Series dp394, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
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    Cited by:

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    3. Stein, Noah D. & Parrilo, Pablo A. & Ozdaglar, Asuman, 2011. "Correlated equilibria in continuous games: Characterization and computation," Games and Economic Behavior, Elsevier, vol. 71(2), pages 436-455, March.
    4. 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;Game Theory Society, vol. 40(4), pages 749-767, November.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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