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Consensus, communication and knowledge : an extension with bayesian agents

  • Lucie Ménager

    ()

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Panthéon-Sorbonne - CNRS)

Parikh and Krasucki [1990] showed that pairwise communication of the value of a function f leads to a consensus about the communicated value if the function f is convex. They showed that union consistency of f may not be sufficient to guarantee consensus in any communication protocol. Krasucki [1996] proved that consensus occurs for any union consistent function if the protocol contains no cycle. We show that if agents communicate their optimal action, namely the action that maximizes their expected utility, then consensus obtains in any fair protocol for any action space.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00194381.

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Date of creation: Feb 2005
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Handle: RePEc:hal:cesptp:halshs-00194381
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00194381
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  1. Geanakoplos, John D. & Polemarchakis, Heraklis M., 1982. "We can't disagree forever," Journal of Economic Theory, Elsevier, vol. 28(1), pages 192-200, October.
  2. 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.
  3. John Geanakoplos & Heracles M. Polemarchakis, 1982. "We Can't Disagree Forever," Cowles Foundation Discussion Papers 639, Cowles Foundation for Research in Economics, Yale University.
  4. Robert J Aumann, 1999. "Agreeing to Disagree," Levine's Working Paper Archive 512, David K. Levine.
  5. Parikh, Rohit & Krasucki, Paul, 1990. "Communication, consensus, and knowledge," Journal of Economic Theory, Elsevier, vol. 52(1), pages 178-189, October.
  6. Cave, Jonathan A. K., 1983. "Learning to agree," Economics Letters, Elsevier, vol. 12(2), pages 147-152.
  7. Krasucki, Paul, 1996. "Protocols Forcing Consensus," Journal of Economic Theory, Elsevier, vol. 70(1), pages 266-272, July.
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