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A Non-Minimal but Very Weak Axiomatization of Common Belief

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  • MONGIN , Philippe

Abstract

The paper introduces a modal logic system of individual and common belief which is shown to be sound and complete with respect to a version of Neighbourhood semantics. This axiomatization of common belief is the weakest of all those currently available : it dispenses with even the Monotonicity rule of individual belief. It is non-minimal in that it does not use just the Equivalence rule but the conjunction of the latter with the specially devised rule of C-Restricted Monotonicity

Suggested Citation

  • MONGIN , Philippe, 1993. "A Non-Minimal but Very Weak Axiomatization of Common Belief," LIDAM Discussion Papers CORE 1993046, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1993046
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1993.html
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    Cited by:

    1. Moscati Ivan, 2009. "Interactive and common knowledge in the state-space model," CESMEP Working Papers 200903, University of Turin.
    2. Heifetz, Aviad & Mongin, Philippe, 2001. "Probability Logic for Type Spaces," Games and Economic Behavior, Elsevier, vol. 35(1-2), pages 31-53, April.

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