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

Nicolas Houy () and Lucie Ménager ()
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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

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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.

Keywords: ordre de parole; communication protocol; consensus; common knowledge; connaissance commune (search for similar items in EconPapers)
Date: 2005-02
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00194365
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Published in 2005

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