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Multi-person unawareness

Published: 20 June 2003 Publication History
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  • Abstract

    Standard state-space models, which are widely used in economics, preclude non-trivial forms of unawareness as shown by Dekel, Lipman and Rustichini (1998). We define a generalized state-space model that allows for unawareness. In order to facilitate applications we make no explicit use of modal syntax within the sematic model. Our model satisfies all "S4" properties as well as all desiderata on unawareness proposed by Modica and Rustichini (1999), Halpern (2001) as well as Dekel, Lipman and Rustichini (1998).

    References

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    Aumann, Robert (1976). Agreeing to disagree, Annals of Statistics4, 1236--1239.
    [2]
    Dekel, Eddie, Lipman, Bart and Aldo Rustichini (1998). Standard state-space models preclude unawareness, Econometrica66, 159--173.
    [3]
    Ewerhart, Christian (2001). Heterogeneous awareness and the possibility of agreement, mimeo., University of Mannheim.
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    Geanakoplos, John (1989). Games theory without partitions, and applications to speculation and consensus, Cowles Foundation Discussion Paper No. 914.
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    Goldstone, Robert and Alan Kersten (2002). Concepts and categorization, forthcoming in: Healy, A.F. and R.W. Proctor (eds.). Comprehensive handbook of psychology, Vol. IV: Experimental psychology, New York: Wiley.
    [6]
    Halpern, Joseph Y. (2001). Alternative sematics for unawareness, Games and Economic Behavior37, 321--339.
    [7]
    Hart, Sergiu, Heifetz, Aviad and Dov Samet (1996). "Knowing whether", "knowing that", and the cardinality of state spaces, Journal of Economic Theory70, 249--256.
    [8]
    Johnson-Laird, P. N. (1983). Mental models - Towards a cognitive science of language, inference and consciousness, Cambridge et al.: Cambridge University Press.
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    Modica, Salvatore and Aldo Rustichini (1999). Unawareness and partional information structures, Games and Economic Behavior27, 265--298.

    Cited By

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    • (2007)Dealing with logical omniscienceProceedings of the 11th conference on Theoretical aspects of rationality and knowledge10.1145/1324249.1324273(169-176)Online publication date: 25-Jun-2007
    • (2005)Interactive unawareness revisitedProceedings of the 10th conference on Theoretical aspects of rationality and knowledge10.5555/1089933.1089945(78-91)Online publication date: 10-Jun-2005

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    cover image ACM Other conferences
    TARK '03: Proceedings of the 9th conference on Theoretical aspects of rationality and knowledge
    June 2003
    245 pages
    ISBN:1581137311
    DOI:10.1145/846241
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 20 June 2003

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    Author Tags

    1. awareness
    2. bounded perception
    3. interactive epistemology
    4. knowledge
    5. unawareness

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    SenSys03
    SenSys03: The First ACM Conference on Embedded Networked
    June 20 - 22, 2003
    Indiana, Univerity of Indiana

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    Overall Acceptance Rate 61 of 177 submissions, 34%

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    Cited By

    View all
    • (2007)Dealing with logical omniscienceProceedings of the 11th conference on Theoretical aspects of rationality and knowledge10.1145/1324249.1324273(169-176)Online publication date: 25-Jun-2007
    • (2005)Interactive unawareness revisitedProceedings of the 10th conference on Theoretical aspects of rationality and knowledge10.5555/1089933.1089945(78-91)Online publication date: 10-Jun-2005

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