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Correlated Equilibria, Incomplete Information and Coalitional Deviations

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  • Bloch, Francis

    (Department of Economics, University of Warwick and GREQAM)

  • Dutta, Bhaskar

    (Department of Economics, University of Warwick)

Abstract

This paper proposes new concepts of strong and coalition-proof correlated equilibria where agents form coalitions at the interim stage and share information about their recommendations in a credible way. When players deviate at the interim stage, coalition-proof correlated equilibria may fail to exist for two-player games. However, coalition- proof correlated equilibria always exist in dominance-solvable games and in games with positive externalities and binary actions.

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File URL: http://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/2006/twerp_763.pdf
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Bibliographic Info

Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 763.

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Date of creation: 2006
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Handle: RePEc:wrk:warwec:763

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Keywords: correlated equilibrium ; coalitions ; information sharing ; games with positive externalities;

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References

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  1. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  2. 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.
  3. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2004. "Voluntary formation of communities for the provision of public projects," Journal of Economic Theory, Elsevier, vol. 115(1), pages 1-34, March.
  4. Indrajit Ray, 1998. "Correlated equilibrium as a stable standard of behavior," Review of Economic Design, Springer, vol. 3(3), pages 257-269.
  5. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
  6. 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.
  7. 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.
  8. Katz, Michael L & Shapiro, Carl, 1986. "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 822-41, August.
  9. Bhaskar Dutta & Rajiv Vohra, 2001. "Incomplete Information, Credibility and the Core," Working Papers 2001-02, Brown University, Department of Economics.
  10. RAY , Indrajit, 1993. "Coalition-Proof Correlated Equilibrium : A Definition," CORE Discussion Papers 1993053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Wilson, Robert B, 1978. "Information, Efficiency, and the Core of an Economy," Econometrica, Econometric Society, vol. 46(4), pages 807-16, July.
  12. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November.
  13. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
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Cited by:
  1. Heller, Yuval, 2010. "All-stage strong correlated equilibrium," Games and Economic Behavior, Elsevier, vol. 69(1), pages 184-188, May.
  2. Jobst Heitzig & Forest Simmons, 2012. "Some chance for consensus: voting methods for which consensus is an equilibrium," Social Choice and Welfare, Springer, vol. 38(1), pages 43-57, January.
  3. Heller, Yuval, 2010. "Minority-proof cheap-talk protocol," Games and Economic Behavior, Elsevier, vol. 69(2), pages 394-400, July.
  4. Heller, Yuval, 2008. "Ex-ante and ex-post strong correlated equilbrium," MPRA Paper 7717, University Library of Munich, Germany, revised 11 Mar 2008.

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