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Smooth Nonexpected Utility without State Independence

Working Paper 637 | Published August 1, 2005

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Hengjie Ai University of Minnesota
Smooth Nonexpected Utility without State Independence


We propose a notion of smoothness of nonexpected utility functions, which extends the variational analysis of nonexpected utility functions to more general settings. In particular, our theory applies to state dependent utilities, as well as the multiple prior expected utility model, both of which are not possible in previous literatures. Other nonexpected utility models are shown to satisfy smoothness under more general conditions than the Fr├ęchet and Gateaux differentiability used in the literature. We give more general characterizations of monotonicity and risk aversion without assuming state independence of utility function.