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Repeated communication through the mechanism and

Author

Listed:
  • Nicolas Vieille

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • Olivier Gossner

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.

Suggested Citation

  • Nicolas Vieille & Olivier Gossner, 2001. "Repeated communication through the mechanism and," Post-Print hal-00465040, HAL.
  • Handle: RePEc:hal:journl:hal-00465040
    DOI: 10.1007/s001820100063
    as

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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. , & ,, 2013. "Implementation of communication equilibria by correlated cheap talk: The two-player case," Theoretical Economics, Econometric Society, vol. 8(1), January.
    3. Indrajit Ray, 2002. "Multiple Equilibrium Problem and Non-Canonical Correlation Devices," Working Papers 2002-24, Brown University, Department of Economics.
    4. Goltsman, Maria & Pavlov, Gregory, 2014. "Communication in Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 153(C), pages 152-176.
    5. 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.
    6. 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.
    7. 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.
    8. Olivier Gossner & Tristan Tomala, 2006. "Empirical Distributions of Beliefs Under Imperfect Observation," Mathematics of Operations Research, INFORMS, vol. 31(1), pages 13-30, February.
    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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