Axiomatic characterizations of belief updating under ambiguity

Shinya Sugiura ()
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Shinya Sugiura: Department of Economics, Hitotsubashi University

Economics Bulletin, 2026, vol. 46, issue 3, 1039 - 1044

Abstract: We characterize three rules for updating a convex capacity at the level of beliefs, with no reference to acts or preferences: the Fagin-Halpern, maximum likelihood, and Dempster-Shafer rules. Two axioms, Caution and Unanimity, force the posterior to equal the lower envelope of the Bayesian updates of a set of admissible priors; the choice of that set selects the rule.

Keywords: Updating; Convex capacities; Fagin–Halpern rule; Maximum likelihood rule; Dempster–Shafer rule (search for similar items in EconPapers)
JEL-codes: D7 D8 (search for similar items in EconPapers)
Date: 2026-09-30
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