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Correlated Equilibria, Incomplete Information and Coalitional Deviations

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HAL Id: halshs-00410457

https://halshs.archives-ouvertes.fr/halshs-00410457

Preprint submitted on 20 Aug 2009

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Correlated Equilibria, Incomplete Information and Coalitional Deviations

Francis Bloch, Bhaskar Dutta

To cite this version:

Francis Bloch, Bhaskar Dutta. Correlated Equilibria, Incomplete Information and Coalitional Devia-

tions. 2006. �halshs-00410457�

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GREQAM

Groupement de Recherche en Economie Quantitative d'Aix-Marseille - UMR-CNRS 6579 Ecole des Hautes Etudes en Sciences Sociales

Universités d'Aix-Marseille II et III

Document de Travail n°2006-23

CORRELATED EQUILIBRIA, IN COMPLETE INFORMATION AND COALITIONAL

DEVIATIONS

Francis BLOCH Bhaskar DUTTA

Mai 2006

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Correlated Equilibria, Incomplete Information and Coalitional Deviations

Francis Bloch, Bhaskar Dutta May 12, 2006

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. JEL Classification Numbers: C72

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

Dutta gratefully acknowledges support from ESRC Grant RES-000-22-0341.

Bloch is at GREQAM, Universite d’Aix-Marseille, 2 rue de Charite, 13002 Marseille, France. He is also affiliated with the University of Warwick. Dutta is in the Department of Economics, University of Warwick, Coventry CV4 7AL, England.

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