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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. Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
  2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
  3. 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.
  4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
  5. 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).
  6. FORGES, Françoise, . "Equilibria with communication in a job market example," CORE Discussion Papers RP -885, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  8. Sergei Izmalkov & Matt Lepinski & Silvio Micali, 2010. "Perfect Implementation," Working Papers w0140, Center for Economic and Financial Research (CEFIR).
  9. 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.
  10. Amparo Urbano & Jose Vila, 2004. "Computationally restricted unmediated talk under incomplete information," Economic Theory, Springer, vol. 23(2), pages 283-320, January.
  11. Vijay Krishna, R., 2007. "Communication in games of incomplete information: Two players," Journal of Economic Theory, Elsevier, vol. 132(1), pages 584-592, January.
  12. Koessler, Frédéric & Forges, Françoise, 2008. "Multistage communication with and without verifiable types," Economics Papers from University Paris Dauphine 123456789/1121, Paris Dauphine University.
  13. F. Forges, 2010. "An Approach to Communication Equilibrium," Levine's Working Paper Archive 516, David K. Levine.
  14. Forges, Francoise, 1988. "Can sunspots replace a mediator?," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 347-368, September.
  15. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, January.
  16. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
  17. Gossner, Olivier & Vieille, Nicolas, 2001. "Repeated Communication Through the Mechanism And," Economics Papers from University Paris Dauphine 123456789/6031, Paris Dauphine University.
  18. Vida, Péter & Āzacis, Helmuts, 2013. "A detail-free mediator," Games and Economic Behavior, Elsevier, vol. 81(C), pages 101-115.
  19. Olivier Gossner & Nicolas Vieille, 2001. "Repeated communication through the mechanism," International Journal of Game Theory, Springer, vol. 30(1), pages 41-60.
  20. DHILLON, Amrita & MERTENS, Jean-François, 1992. "Perfect correlated equilibria," CORE Discussion Papers 1992039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
  22. Ben-Porath, Elchanan, 2003. "Cheap talk in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 108(1), pages 45-71, January.
  23. 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.
  24. FORGES, Françoise, . "Universal mechanisms," CORE Discussion Papers RP -914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  25. 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.
  26. 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.
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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, 2011. "Simple Mediation in a Cheap-Talk Game," Discussion Papers 05-08rr, Department of Economics, University of Birmingham.
  3. Peters, Michael & Troncoso-Valverde, Cristian, 2010. "A Folk Theorem for Competing Mechanisms," Microeconomics.ca working papers michael_peters-2010-17, Vancouver School of Economics, revised 19 Oct 2013.
  4. Vida, Péter & Āzacis, Helmuts, 2013. "A detail-free mediator," Games and Economic Behavior, Elsevier, vol. 81(C), pages 101-115.

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