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The semantics of preference-based belief operators

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Author Info
Asheim, Geir () (Dept. of Economics, University of Oslo)
Søvik, Ylva () (Ministry of Trade and Industry)

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Abstract

We show how different kinds of belief operators derived from preferences can be defined in terms an accessibility relation of epistemic priority, and characterized by means of a vector of nested accessibility relations. The semantic structure is used to reconcile and compare certain non-standard notions of belief that have recently been used in epistemic analyses of games.

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File URL: http://www.oekonomi.uio.no/memo/memopdf/memo0503.pdf
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Publisher Info
Paper provided by Oslo University, Department of Economics in its series Memorandum with number 05/2003.

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Length: 30 pages
Date of creation: 21 Feb 2003
Date of revision:
Handle: RePEc:hhs:osloec:2003_005

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Postal: Department of Economics, University of Oslo, P.O Box 1095 Blindern, N-0317 Oslo, Norway
Phone: 22 85 51 27
Fax: 22 85 50 35
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Web page: http://www.oekonomi.uio.no/indexe.html
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Related research
Keywords: Belief operators; decision theory; belief revision;

Find related papers by JEL classification:
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

References listed on IDEAS
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  1. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401.
    Other versions:
  2. P. Battigalli & M. Siniscalchi, 1999. "Interactive Beliefs and Forward Induction," Princeton Economic Theory Papers 99f3, Economics Department, Princeton University.
    Other versions:
  3. Asheim,G.B., 1999. "On the epistemic foundation for backward induction," Memorandum 30/1999, Oslo University, Department of Economics. [Downloadable!]
    Other versions:
  4. Asheim, Geir B. & Perea, Andres, 2005. "Sequential and quasi-perfect rationalizability in extensive games," Games and Economic Behavior, Elsevier, vol. 53(1), pages 15-42, October. [Downloadable!] (restricted)
  5. Asheim, Geir B. & Dufwenberg, Martin, 2003. "Admissibility and common belief," Games and Economic Behavior, Elsevier, vol. 42(2), pages 208-234, February. [Downloadable!] (restricted)
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  6. Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988. "The Bayesian foundations of solution concepts of games," Journal of Economic Theory, Elsevier, vol. 45(2), pages 370-391, August. [Downloadable!] (restricted)
  7. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-58, March. [Downloadable!] (restricted)
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  8. Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Choice under Uncertainty," Econometrica, Econometric Society, vol. 59(1), pages 61-79, January. [Downloadable!] (restricted)
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