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Multiplayer belief revision

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Author Info
Antoine Billot () (Université Paris 2 - Laboratoire d'Economie Moderne, PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - Ecole Nationale des Ponts et Chaussées - Ecole Normale Supérieure de Paris - ENS Paris)
Jean-Christophe Vergnaud () (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Panthéon-Sorbonne - Paris I)
Bernard Walliser () (PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - Ecole Nationale des Ponts et Chaussées - Ecole Normale Supérieure de Paris - ENS Paris)

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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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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00344461_v1.

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Date of creation: Aug 2008
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Handle: RePEc:hal:cesptp:halshs-00344461_v1

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Related research
Keywords: Belief revision; message; epistemic logic.;

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