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Implementation of Communication Equilibria by Correlated Cheap Talk : the Two-Player Case

  • Forges, Françoise
  • Vida, Péter

We show that essentially every communication equilibrium of any finite Bayesian game with two players can be implemented as a strategic form correlated equilibrium of an extended game, in which before choosing actions as in the Bayesian game, the players engage in a possibly fin nitely long (but in equilibrium almost surely fi nite), direct, cheap talk.

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Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/8159.

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Date of creation: Jan 2013
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Publication status: Published in Theoretical Economics, 2013, Vol. 8, no. 1. pp. 95-123.Length: 28 pages
Handle: RePEc:dau:papers:123456789/8159
Contact details of provider: Web page: http://www.dauphine.fr/en/welcome.html

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  7. Izmalkov, Sergei & Lepinski, Matt & Micali, Silvio, 2011. "Perfect implementation," Games and Economic Behavior, Elsevier, vol. 71(1), pages 121-140, January.
  8. Koessler, Frédéric & Forges, Françoise, 2008. "Multistage communication with and without verifiable types," Economics Papers from University Paris Dauphine 123456789/1121, Paris Dauphine University.
  9. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-64, November.
  10. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
  11. HART, Sergiu, . "Nonzerosum two-person repeated games with incomplete information," CORE Discussion Papers RP -636, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Amparo Urbano & Jose E. Vila, 2002. "Computational Complexity and Communication: Coordination in Two-Player Games," Econometrica, Econometric Society, vol. 70(5), pages 1893-1927, September.
  13. 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.
  14. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  15. Ben-Porath, Elchanan, 1998. "Correlation without Mediation: Expanding the Set of Equilibrium Outcomes by "Cheap" Pre-play Procedures," Journal of Economic Theory, Elsevier, vol. 80(1), pages 108-122, May.
  16. Goltsman, Maria & Hörner, Johannes & Pavlov, Gregory & Squintani, Francesco, 2009. "Mediation, arbitration and negotiation," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1397-1420, July.
  17. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, June.
  18. Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
  19. Heller, Yuval & Solan, Eilon & Tomala, Tristan, 2010. "Communication, correlation and cheap-talk in games with public information," MPRA Paper 25895, University Library of Munich, Germany.
  20. Olivier Gossner & Nicolas Vieille, 2001. "Repeated communication through the mechanism," International Journal of Game Theory, Springer, vol. 30(1), pages 41-60.
  21. Dino Gerardi, 2002. "Unmediated Communication in Games with Complete and Incomplete Information," Cowles Foundation Discussion Papers 1371, Cowles Foundation for Research in Economics, Yale University.
  22. Amparo Urbano & Jose Vila, 2004. "Computationally restricted unmediated talk under incomplete information," Economic Theory, Springer, vol. 23(2), pages 283-320, January.
  23. Krishna, Vijay & Morgan, John, 2004. "The art of conversation: eliciting information from experts through multi-stage communication," Journal of Economic Theory, Elsevier, vol. 117(2), pages 147-179, August.
  24. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, March.
  25. Vida, Péter & Āzacis, Helmuts, 2013. "A detail-free mediator," Games and Economic Behavior, Elsevier, vol. 81(C), pages 101-115.
  26. Vijay Krishna, R., 2007. "Communication in games of incomplete information: Two players," Journal of Economic Theory, Elsevier, vol. 132(1), pages 584-592, January.
  27. Gossner, Olivier & Vieille, Nicolas, 2001. "Repeated Communication Through the Mechanism And," Economics Papers from University Paris Dauphine 123456789/6031, Paris Dauphine University.
  28. José E. Vila & Amparo Urbano, 1999. "- Unmediated Talk Under Incomplete Information," Working Papers. Serie AD 1999-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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