Capacity updating rules and rational belief change

Matthew J. Ryan*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    Choquet expected utility substitutes capacities for subjective probabilities to explain uncertainty aversion and related phenomena. This paper studies capacities as models of belief. The notions of inner and outer acceptance context are defined. These are shown to be the natural acceptance contexts when belief expansion is described by naïve Bayesian and Dempster-Shafer updating of capacities respectively. We also show that Eichberger and Kelsey's (1999b) use of Dempster-Shafer updating as a model of belief revision may lead to violations of the AGM axioms for rational belief change.

    Original languageEnglish
    Pages (from-to)73-87
    Number of pages15
    JournalTheory and Decision
    Volume51
    Issue number1
    DOIs
    Publication statusPublished - 2001

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