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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?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00194365, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00194365
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00194365
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    Cited by:

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    2. Ding, Huihui & Pivato, Marcus, 2021. "Deliberation and epistemic democracy," Journal of Economic Behavior & Organization, Elsevier, vol. 185(C), pages 138-167.
    3. Tsakas, Elias & Voorneveld, Mark, 2011. "On consensus through communication without a commonly known protocol," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 733-739.

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    Keywords

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    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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