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A unified representation of conditioning rules for convex capacities

Author

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  • Mayumi Horie

    (Part-time Lecturer, Osaka Univesity of Economics)

Abstract

This paper proposes a unified representation, called the G-updating rule, which includes three conditioning rules as special cases, the naïve Bayes rule, the Dempster-Shafer rule (Shafer(1976)), and the generalized Bayes' updating rule introduced by Dempster(1967) or Fagin and Halpern(1991). It is shown that the G-updating rule constitutes a three-step conditioning, where one of the three rules is applied in each step.

Suggested Citation

  • Mayumi Horie, 2006. "A unified representation of conditioning rules for convex capacities," Economics Bulletin, AccessEcon, vol. 4(19), pages 1-6.
    • Handle: RePEc:ebl:ecbull:eb-06d80005
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    File URL: http://www.accessecon.com/pubs/EB/2006/Volume4/EB-06D80005A.pdf
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    References listed on IDEAS

    as
    1. Gilboa Itzhak & Schmeidler David, 1993. "Updating Ambiguous Beliefs," Journal of Economic Theory, Elsevier, vol. 59(1), pages 33-49, February.
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    Cited by:

    1. Giulianella Coletti & Davide Petturiti & Barbara Vantaggi, 2019. "Dutch book rationality conditions for conditional preferences under ambiguity," Annals of Operations Research, Springer, vol. 279(1), pages 115-150, August.

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    JEL classification:

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

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