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Object-Based Unawareness

  • Kim-Sau Chung

    ()

    (Department of Economics, University of Minnesota)

  • Oliver Board

The goal of this paper is to construct a user-friendly model of unawareness. We start from an axiom system (in first-order modal logic) that enables us to express the following kinds of sentences: “the agent is not sure whether or not there is anything that he is unaware of”, and “I am not sure whether or not you are aware of something that I am not”. We then prove a characterization theorem which describes a class of structures, called object-based unawareness structures, that correspond to this axiom system. As an application, we explain how an object-based unawareness structure can be use to model those American founding fathers who were opposed to the inclusion of the Bill of Rights in the constitution.

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File URL: http://www.econ.umn.edu/merr/2007_2.pdf
File Function: First version, 2007
Download Restriction: no

Paper provided by University of Minnesota, Department of Economics in its series Working Papers with number 2007-2.

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Length: 30 pages
Date of creation: 24 Aug 2007
Date of revision: 24 Aug 2007
Handle: RePEc:min:wpaper:2007-2
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  1. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
  2. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
  3. Joseph Y. Halpern, 2000. "Alternative Semantics for Unawareness," Game Theory and Information 0004010, EconWPA.
  4. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
  5. Ronald Fagin & Joseph Y. Halpern & Yoram Moses & Moshe Y. Vardi, 2003. "Reasoning About Knowledge," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262562006, June.
  6. Feinberg, Yossi, 2004. "Subjective Reasoning--Games with Unawareness," Research Papers 1875, Stanford University, Graduate School of Business.
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