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Equivalence of the Dempster-Shafer rule and the maximum likelihood rule implies convexity

Author

Listed:
  • Takashi Ui

    (Faculty of Economics, Yokohama National University)

  • Atsushi Kajii

    (Institute of Economic Research, Kyoto University)

Abstract

It is known that if a capacity is convex then the Dempster-Shafer rule for the capacity is equivalent to the maximum likelihood rule for the core of the capacity. This paper shows that the converse is also true that is, a capacity must be convex if these two rules are equivalent.

Suggested Citation

  • Takashi Ui & Atsushi Kajii, 2005. "Equivalence of the Dempster-Shafer rule and the maximum likelihood rule implies convexity," Economics Bulletin, AccessEcon, vol. 4(10), pages 1-6.
    • Handle: RePEc:ebl:ecbull:eb-05d80043
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    References listed on IDEAS

    as
    1. Wang, Tan, 2003. "Conditional preferences and updating," Journal of Economic Theory, Elsevier, vol. 108(2), pages 286-321, February.
    2. Alain Chateauneuf & Robert Kast & André Lapied, 2001. "Conditioning Capacities and Choquet Integrals: The Role of Comonotony," Theory and Decision, Springer, vol. 51(2), pages 367-386, December.
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    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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