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Extensive-Form Correlated Equilibrium: Definition and Computational Complexity

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  • Bernhard von Stengel

    (Department of Mathematics, London School of Economics, London WC2A 2AE, United Kingdom)

  • Françoise Forges

    (CEREMADE, University of Paris--Dauphine, 75775 Paris cedex 16, France)

Abstract

This paper defines the extensive-form correlated equilibrium (EFCE) for extensive games with perfect recall. The EFCE concept extends Aumann's strategic-form correlated equilibrium (CE). Before the game starts, a correlation device generates a move for each information set. This move is recommended to the player only when the player reaches the information set. In two-player perfect-recall extensive games without chance moves, the set of EFCE can be described by a polynomial number of consistency and incentive constraints. Assuming P is not equal to NP, this is not possible for the set of CE, or if the game has chance moves.

Suggested Citation

  • Bernhard von Stengel & Françoise Forges, 2008. "Extensive-Form Correlated Equilibrium: Definition and Computational Complexity," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 1002-1022, November.
  • Handle: RePEc:inm:ormoor:v:33:y:2008:i:4:p:1002-1022
    DOI: 10.1287/moor.1080.0340
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    References listed on IDEAS

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    Cited by:

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    2. Ferenc Forgó, 2011. "Generalized correlated equilibrium for two-person games in extensive form with perfect information," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(2), pages 201-213, June.
    3. Nicola, Gatti & Mario, Gilli & Alberto, Marchesi, 2018. "On the characterization of quasi-perfect equilibria," Working Papers 389, University of Milano-Bicocca, Department of Economics, revised 07 Nov 2018.
    4. Stauber, Ronald, 2017. "Irrationality and ambiguity in extensive games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 409-432.
    5. Jiang, Albert Xin & Leyton-Brown, Kevin, 2015. "Polynomial-time computation of exact correlated equilibrium in compact games," Games and Economic Behavior, Elsevier, vol. 91(C), pages 347-359.

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