This paper applies a proposal of M. Machina (1989) for updating nonexpected utility preferences to D. Schmeidler's (1989) nonadditive probability model. The authors discover that the updated preferences may not themselves satisfy Schmeidler's axioms. Despite this, the updates of uncertainty...

This article characterizes a family of preference relations over uncertain prospects that (a) are dynamically consistent in the Machina sense and, moreover, for which the updated preferences are also members of this family and (b) can simultaneously accommodate Ellsberg- and Allais-type...

Raiffa (1961) has suggested that ambiguity aversion will cause a strict preference for randomization. We show that dynamic consistency implies that individuals will be indifferent to ex ante randomizations. On the other hand, it is possible for a dynamically-consistent ambiguity averse...