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Communication, consensus and order. Who wants to speak first?

Author

Listed:
  • Nicolas Houy

    (COE - Institute of Economic Research)

  • Lucie Ménager

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

Parikh and Krasucki [1990] showed that if rational agents communicate the value of a function f according to a protocol upon which they have agreed beforehand, they will eventually reach a consensus about the value of f, provided a fairness condition on the protocol and a convexity condition on the function f. In this article, we address the issue of how agents agree on a communication protocol in the case where they communicate in order to learn information. We show that if it is common knowledge among a group of agents that some of them disagree about two protocols, then the consensus value of f must be the same according to the two protocols.

Suggested Citation

  • Nicolas Houy & Lucie Ménager, 2005. "Communication, consensus and order. Who wants to speak first?," Post-Print halshs-00194365, HAL.
    • Handle: RePEc:hal:journl:halshs-00194365
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00194365
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    References listed on IDEAS

    as
    1. Bacharach, Michael, 1985. "Some extensions of a claim of Aumann in an axiomatic model of knowledge," Journal of Economic Theory, Elsevier, vol. 37(1), pages 167-190, October.
    2. Geanakoplos, John D. & Polemarchakis, Heraklis M., 1982. "We can't disagree forever," Journal of Economic Theory, Elsevier, vol. 28(1), pages 192-200, October.
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