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How canonical is the canonical model? A comment on Aumann's interactive epistemology

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  • Aviad Heifetz

    () (The School of Economics, Tel Aviv University, Tel Aviv 69978, Israel)

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

  • Aviad Heifetz, 1999. "How canonical is the canonical model? A comment on Aumann's interactive epistemology," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(3), pages 435-442.
  • Handle: RePEc:spr:jogath:v:28:y:1999:i:3:p:435-442
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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. Salonen, Hannu, 2009. "Common theories," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 279-289, November.

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    Keywords

    Common knowledge · epistemic logic;

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