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Repeated communication through the mechanism “and”

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  • GOSSNER , Olivier

    (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium and THEMA, Université Paris X-Nanterre, France)

  • VIEILLE, Nicolas

    (CEREMADE, Université Paris IX-Dauphine, Paris, France)

Abstract

We consider the "and" communication mechanism that inputs messages 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 through finite or infinite repetition of this mechanism.

Suggested Citation

  • GOSSNER , Olivier & VIEILLE, Nicolas, 1998. "Repeated communication through the mechanism “and”," LIDAM Discussion Papers CORE 1998056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1998056
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    1. Gossner, Olivier, 1998. "Secure Protocols or How Communication Generates Correlation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 69-89, November.
    2. Lehrer, Ehud & Sorin, Sylvain, 1997. "One-Shot Public Mediated Talk," Games and Economic Behavior, Elsevier, vol. 20(2), pages 131-148, August.
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    Cited by:

    1. Kar, Anirban & Ray, Indrajit & Serrano, Roberto, 2005. "Multiple equilibria as a difficulty in understanding correlated distributions," UC3M Working papers. Economics we057238, Universidad Carlos III de Madrid. Departamento de Economía.
    2. , & ,, 2013. "Implementation of communication equilibria by correlated cheap talk: The two-player case," Theoretical Economics, Econometric Society, vol. 8(1), January.
    3. Olivier Gossner & Tristan Tomala, 2006. "Empirical Distributions of Beliefs Under Imperfect Observation," Mathematics of Operations Research, INFORMS, vol. 31(1), pages 13-30, February.
    4. Vida, Péter & Āzacis, Helmuts, 2013. "A detail-free mediator," Games and Economic Behavior, Elsevier, vol. 81(C), pages 101-115.
    5. Indrajit Ray, 2002. "Multiple Equilibrium Problem and Non-Canonical Correlation Devices," Working Papers 2002-24, Brown University, Department of Economics.
    6. Goltsman, Maria & Pavlov, Gregory, 2014. "Communication in Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 153(C), pages 152-176.
    7. 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.
    8. Jérôme Renault, 2001. "Learning Sets in State Dependent Signalling Game Forms: A Characterization," Mathematics of Operations Research, INFORMS, vol. 26(4), pages 832-850, November.
    9. 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.
    10. Peter Vida, 2005. "A Detail-free Mediator and the 3 Player Case," CERS-IE WORKING PAPERS 0511, Institute of Economics, Centre for Economic and Regional Studies.

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