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Communication on networks and strong reliability

Author

Listed:
  • Marie Laclau

    (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, HEC Paris - Ecole des Hautes Etudes Commerciales)

  • Ludovic Renou

    (QMUL - Queen Mary University of London, University of Adelaide)

  • Xavier Venel

    (LUISS - Libera Università Internazionale degli Studi Sociali Guido Carli [Roma])

Abstract

We consider sender--receiver games, where the sender and the receiver are two distant nodes in a communication network. We show that if the network has two disjoint paths of communication between the sender and the receiver, then we can replicate all equilibrium outcomes not only of the direct communication game (i.e., when the sender and the receiver communicate directly with each other) but also of the mediated game (i.e., when the sender and the receiver communicate with the help of a mediator).

Suggested Citation

  • Marie Laclau & Ludovic Renou & Xavier Venel, 2024. "Communication on networks and strong reliability," Working Papers hal-03099678, HAL.
    • Handle: RePEc:hal:wpaper:hal-03099678
    DOI: 10.1016/j.jet.2024.105822
    Note: View the original document on HAL open archive server: https://hal.science/hal-03099678v6
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    References listed on IDEAS

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    1. repec:dau:papers:123456789/8159 is not listed on IDEAS
    2. Ben-Porath, Elchanan & Kahneman, Michael, 1996. "Communication in Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 70(2), pages 281-297, August.
    3. Rivera, Thomas J., 2018. "Incentives and the structure of communication," Journal of Economic Theory, Elsevier, vol. 175(C), pages 201-247.
    4. Linial, Nathan, 1994. "Game-theoretic aspects of computing," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 38, pages 1339-1395, Elsevier.
    5. Tristan Tomala, 2011. "Fault Reporting in Partially Known Networks and Folk Theorems," Operations Research, INFORMS, vol. 59(3), pages 754-763, June.
    6. JÊrÆme Renault & Tristan Tomala, 1998. "Repeated proximity games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 539-559.
    7. Françoise Forges, 2020. "Games with Incomplete Information: From Repetition to Cheap Talk and Persuasion," Annals of Economics and Statistics, GENES, issue 137, pages 3-30.
    8. , & ,, 2012. "Mechanism design and communication networks," Theoretical Economics, Econometric Society, vol. 7(3), September.
    9. , & ,, 2013. "Implementation of communication equilibria by correlated cheap talk: The two-player case," Theoretical Economics, Econometric Society, vol. 8(1), January.
    10. repec:hal:pseose:halshs-01109156 is not listed on IDEAS
    11. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    12. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    13. Laclau, M., 2014. "Communication in repeated network games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 87(C), pages 136-160.
    14. repec:dau:papers:123456789/6115 is not listed on IDEAS
    15. 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.
    16. Wolitzky, Alexander, 2015. "Communication with tokens in repeated games on networks," Theoretical Economics, Econometric Society, vol. 10(1), January.
    17. 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.
    18. Françoise Forges, 2020. "Games with incomplete information: from repetition to cheap talk and persuasion," Post-Print hal-03537868, HAL.
    19. Laclau, Marie, 2012. "A folk theorem for repeated games played on a network," Games and Economic Behavior, Elsevier, vol. 76(2), pages 711-737.
    20. , & , M. & ,, 2013. "Hierarchical cheap talk," Theoretical Economics, Econometric Society, vol. 8(1), January.
    21. Tristan Tomala, 2008. "Probabilistic Reliability and Privacy of Communication Using Multicast in General Neighbor Networks," Post-Print hal-00464542, HAL.
    22. Gerardi, Dino, 2004. "Unmediated communication in games with complete and incomplete information," Journal of Economic Theory, Elsevier, vol. 114(1), pages 104-131, January.
    23. Renault, Jérôme & Renou, Ludovic & Tomala, Tristan, 2014. "Secure message transmission on directed networks," Games and Economic Behavior, Elsevier, vol. 85(C), pages 1-18.
    24. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
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    Keywords

    network; Cheap talk; direct; mediated; communication; protocol;
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