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A minority-proof cheap-talk protocol

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  • Heller, Yuval

Abstract

This paper analyzes the implementation of correlated equilibria that are immune to joint deviations of coalitions by cheap-talk protocols. We construct a universal cheap-talk protocol (a polite protocol that uses only 2-player private channels) that is resistant to deviations of fewer than half the players, and using it, we show that a large set of correlated equilibria can be implemented as Nash equilibria in the extended game with cheap-talk. Furthermore, we demonstrate that in general there is no cheap-talk protocol that is resistant for deviations of half the players.

Suggested Citation

  • Heller, Yuval, 2005. "A minority-proof cheap-talk protocol," MPRA Paper 7716, University Library of Munich, Germany, revised 26 Feb 2008.
    • Handle: RePEc:pra:mprapa:7716
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    References listed on IDEAS

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    12. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
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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. Yuval Heller & Christoph Kuzmics, 2019. "Renegotiation and Coordination with Private Values," Graz Economics Papers 2019-10, University of Graz, Department of Economics.
    3. Heller, Yuval & Kuzmics, Christoph, 2020. "Communication, Renegotiation and Coordination with Private Values (Extended Version)," MPRA Paper 102926, University Library of Munich, Germany, revised 26 Jul 2021.
    4. Heng Liu, 2017. "Correlation and unmediated cheap talk in repeated games with imperfect monitoring," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1037-1069, November.
    5. Heller, Yuval & Kuzmics, Christoph, 2024. "Communication, renegotiation and coordination with private values," Games and Economic Behavior, Elsevier, vol. 143(C), pages 51-76.
    6. Heller, Yuval & Solan, Eilon & Tomala, Tristan, 2012. "Communication, correlation and cheap-talk in games with public information," Games and Economic Behavior, Elsevier, vol. 74(1), pages 222-234.
    7. Heller, Yuval, 2010. "All-stage strong correlated equilibrium," Games and Economic Behavior, Elsevier, vol. 69(1), pages 184-188, May.
    8. Joseph Y. Halpern, 2007. "Computer Science and Game Theory: A Brief Survey," Papers cs/0703148, arXiv.org.
    9. Yuval Heller, 2012. "Sequential Correlated Equilibria in Stopping Games," Operations Research, INFORMS, vol. 60(1), pages 209-224, February.

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    More about this item

    Keywords

    non-cooperative games; cheap-talk; correlated equilibrium; strong equilibrium; coalition-proof equilibrium; fault-tolerant distributed computation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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