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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|Date of creation:||Jan 2006|
|Date of revision:||Jan 2006|
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- Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006.
Journal of Economic Theory,
Elsevier, vol. 130(1), pages 78-94, September.
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- Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
- 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.
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