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A minority-proof cheap-talk protocol

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  • Heller, Yuval

Abstract

This paper analyzes the implementation of correlated equilibria that are immune to joint deviations of coalitions by cheap-talk protocols. We construct a universal cheap-talk protocol (a polite protocol that uses only 2-player private channels) that is resistant to deviations of fewer than half the players, and using it, we show that a large set of correlated equilibria can be implemented as Nash equilibria in the extended game with cheap-talk. Furthermore, we demonstrate that in general there is no cheap-talk protocol that is resistant for deviations of half the players.

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File URL: http://mpra.ub.uni-muenchen.de/7716/
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File URL: http://mpra.ub.uni-muenchen.de/15643/
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File URL: http://mpra.ub.uni-muenchen.de/54906/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 7716.

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Date of creation: 19 Aug 2005
Date of revision: 26 Feb 2008
Handle: RePEc:pra:mprapa:7716

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Keywords: non-cooperative games; cheap-talk; correlated equilibrium; strong equilibrium; coalition-proof equilibrium; fault-tolerant distributed computation;

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References

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  1. Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Center for the Study of Rationality, Hebrew University, Jerusalem, revised Nov 2002.
  2. 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.
  3. Francis Bloch & Bhaskar Dutta, 2006. "Correlated Equilibria, Incomplete Information and Coalitional Deviations," Working Papers halshs-00410457, HAL.
  4. Eliaz, K., 1999. "Fault Tolerant Implementation," Papers 21-99, Tel Aviv.
  5. R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
  6. FORGES, Françoise, . "Universal mechanisms," CORE Discussion Papers RP -914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November.
  8. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-51, November.
  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. 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.
  11. 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.
  12. Indrajit Ray, 1998. "Correlated equilibrium as a stable standard of behavior," Review of Economic Design, Springer, vol. 3(3), pages 257-269.
  13. RAY , Indrajit, 1993. "Coalition-Proof Correlated Equilibrium : A Definition," CORE Discussion Papers 1993053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Ben-Porath, Elchanan, 2003. "Cheap talk in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 108(1), pages 45-71, January.
  15. R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
  16. Ehud Lehrer & Sylvain Sorin, 1994. "One-Shot Public Mediated Talk," Discussion Papers 1108, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. GOSSNER, Olivier, 1997. "Secure protocols or how communication generates correlation," CORE Discussion Papers 1997092, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  18. Gossner, Olivier, 1998. "Secure Protocols or How Communication Generates Correlation," Economics Papers from University Paris Dauphine 123456789/6244, Paris Dauphine University.
  19. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
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Citations

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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. 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.
  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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