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Consequentialism and Dynamic Consistency in Updating Ambiguous Beliefs

Author

Listed:
  • Takao Asano

    (Okayama University)

  • Hiroyuki Kojima

    (Teikyo University)

Abstract

By proposing the notions of upper-constrained dynamic consistency and lower-constrained dynamic consistency that are weaker axioms than dynamic consistency, this paper axiomatizes the Dempster-Shafer updating rule and naive Bayes' updating rule within the framework of Choquet expected utility. Based on the notion of conditional comonotonicity, this paper also provides an axiomatization of consequentialism under Choquet expected utility. Fur- thermore, based on the idea of the mean preserving rule, this paper provides a unified approach for distinguishing capacity updating rules (the Dempster- Shafer updating rule, naive Bayes' updating rule, and Fagin-Halpern updating rule) according to the degree of dynamic consistency.

Suggested Citation

  • Takao Asano & Hiroyuki Kojima, 2018. "Consequentialism and Dynamic Consistency in Updating Ambiguous Beliefs," KIER Working Papers 987, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:987
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    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP987.pdf
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    References listed on IDEAS

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    7. Cesaltina Pacheco Pires, 2002. "A Rule For Updating Ambiguous Beliefs," Theory and Decision, Springer, vol. 53(2), pages 137-152, September.
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    More about this item

    Keywords

    Dynamic Consistency; Consequentialism; Choquet Expected Utility; Conditional Comonotonicity; Conditional Preferences; Dempster-Shafer Updating Rule; Naive Bayes' Updating Rule; Fagin-Halpern Updating Rule;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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