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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)

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.sv.uio.no/econ/english/research/memorandum/pdf-files/2003/Memo-05-2003.pdf
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Bibliographic 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

Contact details of provider:
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
Email:
Web page: http://www.oekonomi.uio.no/indexe.html
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Related research

Keywords: Belief operators; decision theory; belief revision;

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References

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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.
  2. P. Battigalli & M. Siniscalchi, 1999. "Interactive Beliefs and Forward Induction," Princeton Economic Theory Papers 99f3, Economics Department, Princeton University.
  3. Asheim,G.B., 1999. "On the epistemic foundation for backward induction," Memorandum 30/1999, Oslo University, Department of Economics.
  4. Asheim,G.B. & Dufwenberg,M., 2000. "Admissibility and common belief," Memorandum 07/2000, Oslo University, Department of Economics.
  5. 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.
  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.
  7. Roger B. Myerson, 1984. "Multistage Games with Communication," Discussion Papers 590, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Choice under Uncertainty," Econometrica, Econometric Society, vol. 59(1), pages 61-79, January.
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Cited by:
  1. Asheim, Geir B. & Sovik, Ylva, 2005. "Preference-based belief operators," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 61-82, July.

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