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Ex-ante and ex-post strong correlated equilbrium

  • Heller, Yuval

A strong correlated equilibrium is a strategy profile that is immune to joint deviations. Different notions of strong correlated equilibria were defined in the literature. One major difference among those definitions is the stage in which coalitions can plan a joint deviation: before (ex-ante) or after (ex-post) the deviating players receive their part of the correlated profile. In this paper we prove that if deviating coalitions are allowed to use new correlating devices, then an ex-ante strong correlated equilibrium is also immune to deviations at the ex-post stage. Thus the set of ex-ante strong correlated equilibria of Moreno & Wooders (1996) is included in all other sets of strong correlated equilibria.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 7717.

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Date of creation: 11 Mar 2008
Date of revision: 11 Mar 2008
Handle: RePEc:pra:mprapa:7717
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  1. Greenberg, Joseph, 1989. "Deriving strong and coalition-proof nash equilibria from an abstract system," Journal of Economic Theory, Elsevier, vol. 49(1), pages 195-202, October.
  2. Bloch, Francis & Dutta, Bhaskar, 2006. "Correlated Equilibria, Incomplete Information and Coalitional Deviations," The Warwick Economics Research Paper Series (TWERPS) 763, University of Warwick, Department of Economics.
  3. Delgado, Juan & Moreno, Diego, 2004. "Coalition-proof supply function equilibria in oligopoly," Journal of Economic Theory, Elsevier, vol. 114(2), pages 231-254, February.
  4. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
    • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
  5. Joseph Farrell and Garth Saloner., 1987. "Coordination Through Committees and Markets," Economics Working Papers 8740, University of California at Berkeley.
  6. R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
  7. Yi, Sang-Seung, 1999. "On the Coalition-Proofness of the Pareto Frontier of the Set of Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 26(2), pages 353-364, January.
  8. Moreno, Diego & Wooders, John, 1998. "An Experimental Study of Communication and Coordination in Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 47-76, July.
  9. Michel Le Breton & Hideo Konishi & Shlomo Weber, 1996. "Equivalence of strong and coalition-proof Nash equilibria in games without spillovers (*)," Economic Theory, Springer, vol. 9(1), pages 97-113.
  10. Indrajit Ray, 1998. "Correlated equilibrium as a stable standard of behavior," Review of Economic Design, Springer, vol. 3(3), pages 257-269.
  11. RAY , Indrajit, 1993. "Coalition-Proof Correlated Equilibrium : A Definition," CORE Discussion Papers 1993053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Sylvie Thoron, 1998. "Formation of a Coalition-Proof Stable Cartel," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 63-76, February.
  13. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
  14. KONISHI, Hideo & LE BRETON, Michel & WEBER, Shlomo, . "On coalition-proof Nash equilibria in common agency games," CORE Discussion Papers RP -1383, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. Licun Xue, 2000. "Negotiation-proof Nash equilibrium," International Journal of Game Theory, Springer, vol. 29(3), pages 339-357.
  16. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November.
  17. Milgrom, Paul & Roberts, John, 1996. "Coalition-Proofness and Correlation with Arbitrary Communication Possibilities," Games and Economic Behavior, Elsevier, vol. 17(1), pages 113-128, November.
  18. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January.
  19. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
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