In Anscombe and Aumann’s (1963) domain, there are two types of mixtures. One is an ex-ante mixture, or a lottery on acts. The other is an ex-post mixture, or a state-wise mixture of acts. These two mixtures have been assumed to be indifferent under the Reversal of Order axiom. However, we...

Raiffa (1961) criticizes ambiguity-averse preferences by claiming that hedging is possible with randomization of choices. We argue that the timing of randomization is crucial for hedging. Ex-ante randomizations, which are randomizations before a state is realized, could provide only ex-ante...

We investigate stochastic choice when only the average and not the entire distri- bution of choices is observable, focusing attention on the popular Luce model. Choice is path independent if it is recursive, in the sense that choosing from a menu can be broken up into choosing from smaller...