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The Preservation of Multivariate Comparative Statics in Nonexpected Utility Theory

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  • Schlee, Edward E

Abstract

This article investigates the preservation of multivariate expected utility comparative statics for "smooth" nonexpected utility representations. Specifically, we answer the following question: if an expected utility comparative statics property depends only on preferences over sure prospects, then when will a non expected utility maximizer with identical sure preferences also satisfy that property? We demonstrate that the effects of increased risk aversion are preserved under the "Almost Degenerate Independence" axiom, but that those of distribution changes of exogenous risks are not preserved under stringent assumptions. Hence, nonexpected utility comparative statics may diverge from expected utility, even for "first-order" properties-those whose effect is determinable from restrictions on "local" utility functions. Copyright 1994 by Kluwer Academic Publishers

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  • Schlee, Edward E, 1994. "The Preservation of Multivariate Comparative Statics in Nonexpected Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 9(3), pages 257-272, December.
    • Handle: RePEc:kap:jrisku:v:9:y:1994:i:3:p:257-72
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    Cited by:

    1. Osaki, Yusuke & Quiggin, John, 2007. "A Risk-neutral Characterization of Optimization and Pessimism and its Applications," Risk and Sustainable Management Group Working Papers 151180, University of Queensland, School of Economics.
    2. Geiger, Gebhard, 2002. "On the statistical foundations of non-linear utility theory: The case of status quo-dependent preferences," European Journal of Operational Research, Elsevier, vol. 136(2), pages 449-465, January.
    3. Osaki, Yusuke & Quiggin, John, 2008. "Stochastic dominance representation of optimistic belief: Theory and applications," Economics Letters, Elsevier, vol. 101(3), pages 275-278, December.

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