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

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  • Péter Vida
  • Francoise Forges

Abstract

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 pos-sibly infinitely long (but in equilibrium almost surely finite), direct, cheap talk.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2011/wp-cesifo-2011-02/cesifo1_wp3360.pdf
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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 3360.

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Date of creation: 2011
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Handle: RePEc:ces:ceswps:_3360

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Keywords: Bayesian game; cheap talk; communication equilibrium; correlated equilibrium; pre-play communication;

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References

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  1. Heller, Yuval & Solan, Eilon & Tomala, Tristan, 2012. "Communication, correlation and cheap-talk in games with public information," Games and Economic Behavior, Elsevier, vol. 74(1), pages 222-234.
  2. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
  3. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401.
  4. Izmalkov, Sergei & Lepinski, Matt & Micali, Silvio, 2011. "Perfect implementation," Games and Economic Behavior, Elsevier, vol. 71(1), pages 121-140, January.
  5. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
  6. Forges, F., 1987. "Can sunspots replace a mediator ?," CORE Discussion Papers 1987045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414.
  8. DHILLON, Amrita & MERTENS, Jean-François, 1992. "Perfect correlated equilibria," CORE Discussion Papers 1992039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. 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.
  10. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-64, November.
  11. Forges, Francoise, 1990. "Equilibria with Communication in a Job Market Example," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 375-98, May.
  12. Amparo Urbano & Jose Vila, 2004. "Computationally restricted unmediated talk under incomplete information," Economic Theory, Springer, vol. 23(2), pages 283-320, January.
  13. GOSSNER , Olivier & VIEILLE, Nicolas, 1998. "Repeated communication through the mechanism “and”," CORE Discussion Papers 1998056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Vida, Péter & Azacis, Helmuts, 2012. "A Detail-Free Mediator," Cardiff Economics Working Papers E2012/10, Cardiff University, Cardiff Business School, Economics Section.
  15. 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.
  16. Ben-Porath, Elchanan, 2003. "Cheap talk in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 108(1), pages 45-71, January.
  17. Olivier Gossner & Nicolas Vieille, 2001. "Repeated communication through the mechanism," International Journal of Game Theory, Springer, vol. 30(1), pages 41-60.
  18. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-85, November.
  19. Gerardi, Dino, 2004. "Unmediated communication in games with complete and incomplete information," Journal of Economic Theory, Elsevier, vol. 114(1), pages 104-131, January.
  20. 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).
  21. 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.
  22. Vijay Krishna, R., 2007. "Communication in games of incomplete information: Two players," Journal of Economic Theory, Elsevier, vol. 132(1), pages 584-592, January.
  23. Frederic Koessler & Francoise Forges, 2006. "Multistage communication with and without verifiable types," THEMA Working Papers 2006-14, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  24. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, September.
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Citations

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Cited by:
  1. Laruelle, Annick & Iñarra García, María Elena & Zuazo Garín, Peio, 2012. "Games with perceptions," IKERLANAK Ikerlanak;2012-64, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  2. Chirantan Ganguly & Indrajit Ray, 2012. "Simple Mediation in a Cheap-Talk Game," Discussion Papers 05-08rrr, Department of Economics, University of Birmingham.
  3. Vida, Péter & Azacis, Helmuts, 2012. "A Detail-Free Mediator," Cardiff Economics Working Papers E2012/10, Cardiff University, Cardiff Business School, Economics Section.

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