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Object-Based Unawareness

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Author Info
Kim-Sau Chung () (Department of Economics, University of Minnesota)
Oliver Board

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Abstract

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 Format: application/pdf
File Function: First version, 2007
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Publisher Info
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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Related research
Keywords: unawareness; object-based; modal logic; bill of rights;

Other versions of this item:

Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Halpern, Joseph Y., 2001. "Alternative Semantics for Unawareness," Games and Economic Behavior, Elsevier, vol. 37(2), pages 321-339, November. [Downloadable!] (restricted)
    Other versions:
  2. Aviad Heifetz & Martin Meier & Burkhard C. Schipper, 2005. "Interactive Unawareness," Discussion Papers 52, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
    Other versions:
  3. 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.
  4. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May. [Downloadable!] (restricted)
  5. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Oliver Board & Kim-Sau Chung, 2008. "Object-Based Unawareness: Theory and Applications," Working Papers 378, University of Pittsburgh, Department of Economics, revised Mar 2009. [Downloadable!]
  2. Salvatore Modica, 2008. "Unawareness, priors and posteriors," Decisions in Economics and Finance, Springer, vol. 31(2), pages 81-94, November. [Downloadable!] (restricted)
  3. Andreas Blume & Uri Gneezy, 2009. "Cognitive Forward Induction and Coordination without Common Knowledge: An Experimental Study," Working Papers 346, University of Pittsburgh, Department of Economics, revised May 2009. [Downloadable!]
  4. Galanis, Spyros, . "Unawareness of Theorems," Discussion Paper Series In Economics And Econometrics 0709, Economics Division, School of Social Sciences, University of Southampton. [Downloadable!]
  5. Oliver Board & Kim-Sau Chung & Burkhard C. Schipper, 2008. "Two Models of Unawareness," Working Papers 379, University of Pittsburgh, Department of Economics, revised Mar 2009. [Downloadable!]
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This page was last updated on 2009-11-26.

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