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The semantics of preference-based belief operators

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  • 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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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

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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;

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References

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  1. Werlang, Sérgio Ribeiro da Costa & Chin-Chiu Tan, Tommy, 1987. "The Bayesian Foundations of Solution Concepts of Games," Economics Working Papers (Ensaios Economicos da EPGE) 111, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  2. Asheim,G.B. & Dufwenberg,M., 2000. "Admissibility and common belief," Memorandum 07/2000, Oslo University, Department of Economics.
  3. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-58, March.
  4. Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Choice under Uncertainty," Econometrica, Econometric Society, vol. 59(1), pages 61-79, January.
  5. P. Battigalli & M. Siniscalchi, 1999. "Interactive Beliefs and Forward Induction," Princeton Economic Theory Papers 99f3, Economics Department, Princeton University.
  6. Asheim, Geir B., 2002. "On the epistemic foundation for backward induction," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 121-144, November.
  7. 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.
  8. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
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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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