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Communication on networks and strong reliability

Author

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  • Laclau, Marie
  • Renou, Ludovic
  • Venel, Xavier

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

  • Laclau, Marie & Renou, Ludovic & Venel, Xavier, 2024. "Communication on networks and strong reliability," Journal of Economic Theory, Elsevier, vol. 217(C).
    • Handle: RePEc:eee:jetheo:v:217:y:2024:i:c:s0022053124000280
    DOI: 10.1016/j.jet.2024.105822
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    References listed on IDEAS

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    1. Milton Harris & Artur Raviv, 2002. "Organization Design," Management Science, INFORMS, vol. 48(7), pages 852-865, July.
    2. repec:dau:papers:123456789/8159 is not listed on IDEAS
    3. 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.
    4. Rivera, Thomas J., 2018. "Incentives and the structure of communication," Journal of Economic Theory, Elsevier, vol. 175(C), pages 201-247.
    5. 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.
    6. Tristan Tomala, 2011. "Fault Reporting in Partially Known Networks and Folk Theorems," Operations Research, INFORMS, vol. 59(3), pages 754-763, June.
    7. JÊrÆme Renault & Tristan Tomala, 1998. "Repeated proximity games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 539-559.
    8. 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.
    9. , & ,, 2012. "Mechanism design and communication networks," Theoretical Economics, Econometric Society, vol. 7(3), September.
    10. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-1364, November.
    11. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    12. , & ,, 2013. "Implementation of communication equilibria by correlated cheap talk: The two-player case," Theoretical Economics, Econometric Society, vol. 8(1), January.
    13. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    14. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    15. Ivanov, Maxim, 2010. "Communication via a strategic mediator," Journal of Economic Theory, Elsevier, vol. 145(2), pages 869-884, March.
    16. Laclau, M., 2014. "Communication in repeated network games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 87(C), pages 136-160.
    17. repec:dau:papers:123456789/6115 is not listed on IDEAS
    18. 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.
    19. Wolitzky, Alexander, 2015. "Communication with tokens in repeated games on networks," Theoretical Economics, Econometric Society, vol. 10(1), January.
    20. Tristan Tomala, 2008. "Probabilistic Reliability and Privacy of Communication Using Multicast in General Neighbor Networks," Post-Print hal-00464542, HAL.
    21. Gerardi, Dino, 2004. "Unmediated communication in games with complete and incomplete information," Journal of Economic Theory, Elsevier, vol. 114(1), pages 104-131, January.
    22. Renault, Jérôme & Renou, Ludovic & Tomala, Tristan, 2014. "Secure message transmission on directed networks," Games and Economic Behavior, Elsevier, vol. 85(C), pages 1-18.
    23. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    24. Migrow, Dimitri, 2021. "Designing communication hierarchies," Journal of Economic Theory, Elsevier, vol. 198(C).
    25. FORGES, Françoise, 1985. "Correlated equilibria in a class of repeated games with incomplete information," LIDAM Reprints CORE 663, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    More about this item

    Keywords

    Cheap talk; Direct; Mediated; Communication; Protocol; Network;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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