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How Canonical is the Canonical Model ? A Comment on Aumann's Interactive Epistemology

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  • HEIFETZ , Aviad

    (School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel and CORE, Université catholique de Louvain)

Abstract

Aumann (1989) argued that the natural partitions on the space of all maximally consistent sets of formulas in multi-player S5 logic are necessarily "commonly known" by the players. We show, however, that there are many other sets of partitions on this space that conform with the formulas that build the states - as many as there are subsets of the continuum! Thus, assuming a set of partitions on this space is "common knowledge" is an informal but meaningful meta-assumption.

Suggested Citation

  • HEIFETZ , Aviad, 1995. "How Canonical is the Canonical Model ? A Comment on Aumann's Interactive Epistemology," LIDAM Discussion Papers CORE 1995028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1995028
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1995.html
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