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Alternative Semantics for Unawareness

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  • Joseph Y. Halpern

    (Cornell University)

Abstract

Modica and Rustichini [Theory and Decision 37, 1994] provided a logic for reasoning about knowledge where agents may be unaware of certain propositions. However, their original approach had the unpleasant property that nontrivial unawareness was incompatible with partitional information structures. More recently, Modica and Rustichini [Games and Economic Behavior 27:2, 1999] have provided an approach that allows for nontrivial unawareness in partitional information structures. Here it is shown that their approach can be viewed as a special case of a general approach to unawareness considered by Fagin and Halpern [Artificial Intelligence 34, 1988].

Suggested Citation

  • Joseph Y. Halpern, 2000. "Alternative Semantics for Unawareness," Game Theory and Information 0004010, EconWPA.
  • Handle: RePEc:wpa:wuwpga:0004010
    Note: Type of Document - PDF; prepared on Unix; pages: 19; figures: included. To appear, Games and Economic Behavior 37. 1994].
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    References listed on IDEAS

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    1. Robert J. Aumann, 1999. "Interactive epistemology I: Knowledge," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(3), pages 263-300.
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    Keywords

    awareness; unawareness;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C80 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - General

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