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Existence Of Correlated Equilibria

In: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics

Author

Listed:
  • Sergiu Hart
  • David Schmeidler

    (Tel Aviv University, Israel)

Abstract

An elementary proof, based on linear duality, is provided for the existence of correlated equilibria in finite games. The existence result is then extended to infinite games, including some that possess no Nash equilibria.

Suggested Citation

  • 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..
    • Handle: RePEc:wsi:wschap:9789814390705_0001
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    Citations

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    Cited by:

    1. Yannick Viossat, 2003. "Geometry, Correlated Equilibria and Zero-Sum Games," Working Papers hal-00242993, HAL.
    2. Lehrer, Ehud, 2003. "A wide range no-regret theorem," Games and Economic Behavior, Elsevier, vol. 42(1), pages 101-115, January.
    3. Cripps, Martin W. & Mailath, George J. & Samuelson, Larry, 2007. "Disappearing private reputations in long-run relationships," Journal of Economic Theory, Elsevier, vol. 134(1), pages 287-316, May.
    4. 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.
    5. Viossat, Yannick, 2008. "Is having a unique equilibrium robust?," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1152-1160, December.
    6. Yannick Viossat, 2010. "Properties and applications of dual reduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 53-68, July.
    7. Sergiu Hart & Andreu Mas-Colell, 2013. "A Simple Adaptive Procedure Leading To Correlated Equilibrium," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 2, pages 17-46, World Scientific Publishing Co. Pte. Ltd..
    8. Ayala Mashiah-Yaakovi, 2015. "Correlated Equilibria in Stochastic Games with Borel Measurable Payoffs," Dynamic Games and Applications, Springer, vol. 5(1), pages 120-135, March.
    9. Yannick Viossat, 2005. "Openness of the set of games with a unique correlated equilibrium," Working Papers hal-00243016, HAL.
    10. Hörner, Johannes & Lovo, Stefano & Tomala, Tristan, 2011. "Belief-free equilibria in games with incomplete information: Characterization and existence," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1770-1795, September.
    11. Voorneveld, Mark, 2007. "The possibility of impossible stairways and greener grass," SSE/EFI Working Paper Series in Economics and Finance 673, Stockholm School of Economics.
    12. Yannick Viossat, 2003. "Elementary Games and Games Whose Correlated Equilibrium Polytope Has Full Dimension," Working Papers hal-00242991, HAL.
    13. Kevin Cotter, 1988. "Similarity of Correlated Equilibria," Discussion Papers 781, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. Jann, Ole & Schottmüller, Christoph, 2015. "Correlated equilibria in homogeneous good Bertrand competition," Journal of Mathematical Economics, Elsevier, vol. 57(C), pages 31-37.
    15. Robert Nau, 2015. "Risk-neutral equilibria of noncooperative games," Theory and Decision, Springer, vol. 78(2), pages 171-188, February.
    16. Pavlo Prokopovych & Lones Smith, 2004. "Subgame Perfect Correlated Equilibria in Repeated Games," Econometric Society 2004 North American Summer Meetings 287, Econometric Society.
    17. Yannick Viossat, 2003. "Properties of Dual Reduction," Working Papers hal-00242992, HAL.
    18. 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.
    19. Fook Kong & Berç Rustem, 2013. "Welfare-maximizing correlated equilibria using Kantorovich polynomials with sparsity," Journal of Global Optimization, Springer, vol. 57(1), pages 251-277, September.
    20. Larry Samuelson, 2003. "Imperfect Monitoring and Impermanent Reputations," Theory workshop papers 505798000000000030, UCLA Department of Economics.

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