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Multiplayer belief revision

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Author Info

  • Antoine Billot

    ()
    (LEM - Laboratoire d'Économie Moderne - Université Paris II - Panthéon-Assas : EA4442, PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - École des Hautes Études en Sciences Sociales (EHESS) - École des Ponts ParisTech (ENPC) - École normale supérieure [ENS] - Paris, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris)

  • Jean-Christophe Vergnaud

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

  • Bernard Walliser

    ()
    (PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - École des Hautes Études en Sciences Sociales (EHESS) - École des Ponts ParisTech (ENPC) - École normale supérieure [ENS] - Paris, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris)

Abstract

One main topic of the epistemic program of game theory deals with the value of information. To study this question in a broad context, one needs to adapt some of the tools used in multiplayer epistemic logic. A hierarchical belief structure is introduced both in a syntactical and semantical framework. In the same framework, a generalized notion of message is characterized by its content and its status. For a given message, a multiplayer belief revision rule that transforms any initial belief structure into a final belief one is designed. A representation theorem relates syntactical axioms to the belief revision rule.

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File URL: http://halshs.archives-ouvertes.fr/docs/00/34/44/61/PDF/V08067.pdf
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Bibliographic Info

Paper provided by HAL in its series Post-Print with number halshs-00344461.

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Date of creation: Aug 2008
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Handle: RePEc:hal:journl:halshs-00344461

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00344461
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Web page: http://hal.archives-ouvertes.fr/

Related research

Keywords: Belief revision; message; epistemic logic.;

This paper has been announced in the following NEP Reports:

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  1. Robert J. Aumann, 1999. "Interactive epistemology II: Probability," International Journal of Game Theory, Springer, vol. 28(3), pages 301-314.
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