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Repeated Communication Through the Mechanism And

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  • Gossner, Olivier
  • Vieille, Nicolas
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    Abstract

    We consider the “and” communication device that receives inputs from two players and outputs the public signal yes if both messages are yes, and outputs no otherwise. We prove that no correlation can securely be implemented using this device, even when infinitely many stages of communication are allowed.

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    File URL: http://basepub.dauphine.fr/xmlui/bitstream/123456789/6031/2/RepeatedAnd.pdf
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    Bibliographic Info

    Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/6031.

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    Date of creation: 2001
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    Publication status: Published in International Journal of Game Theory, 2001, Vol. 30, no. 1. pp. 41-60.Length: 19 pages
    Handle: RePEc:dau:papers:123456789/6031

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    Keywords: "And" communication device;

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    References

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    1. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-85, November.
    2. FORGES, Françoise, . "Universal mechanisms," CORE Discussion Papers RP -914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Ehud Lehrer & Sylvain Sorin, 1994. "One-Shot Public Mediated Talk," Discussion Papers 1108, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Lehrer, Ehud, 1991. "Internal Correlation in Repeated Games," International Journal of Game Theory, Springer, vol. 19(4), pages 431-56.
    5. Gossner, Olivier, 1998. "Secure Protocols or How Communication Generates Correlation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 69-89, November.
    6. Lehrer, Ehud, 1996. "Mediated Talk," International Journal of Game Theory, Springer, vol. 25(2), pages 177-88.
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    Cited by:
    1. Vida, Péter & Āzacis, Helmuts, 2013. "A detail-free mediator," Games and Economic Behavior, Elsevier, vol. 81(C), pages 101-115.
    2. Indrajit Ray, 2002. "Multiple Equilibrium Problem and Non-Canonical Correlation Devices," Working Papers 2002-24, Brown University, Department of Economics.
    3. Anirban Kar & Indrajit Ray & Roberto Serrano, 2005. "Multiple Equilibria as a Difficulty in Understanding Correlated Distributions," Working Papers 2005-10, Brown University, Department of Economics.
    4. Péter Vida & Francoise Forges, 2011. "Implementation of Communication Equilibria by Correlated Cheap Talk: The Two-Player Case," CESifo Working Paper Series 3360, CESifo Group Munich.
    5. Kar, Anirban & Ray, Indrajit & Serrano, Roberto, 2010. "A difficulty in implementing correlated equilibrium distributions," Games and Economic Behavior, Elsevier, vol. 69(1), pages 189-193, May.
    6. Renault, Jerome & Tomala, Tristan, 2004. "Learning the state of nature in repeated games with incomplete information and signals," Games and Economic Behavior, Elsevier, vol. 47(1), pages 124-156, April.
    7. Maria Goltsman & Gregory Pavlov, 2012. "Communication in Cournot Oligopoly," UWO Department of Economics Working Papers 20121, University of Western Ontario, Department of Economics.
    8. Peter Vida, 2005. "A Detail-free Mediator and the 3 Player Case," IEHAS Discussion Papers 0511, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.

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