Vioglio characterizes the consistency of a large class of nonexpected utility preferences (for example, mean-variance preferences or prospect theory preferences) with integral stochastic orders (for example, the various versions of stochastic dominance).
The characterization rests on a novel decision theoretic result that provides a behavioral interpretation of the set of all derivatives of the functional representing the decision maker preferences. As an illustration, Vioglio studies in some detail the differential properties of prospect theory.

*Joint work with F. Maccheroni and M. Marinacci

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