Ee. Schlee, THE PRESERVATION OF MULTIVARIATE COMPARATIVE STATICS IN NONEXPECTED UTILITY-THEORY, Journal of risk and uncertainty, 9(3), 1994, pp. 257-272
This article investigates the preservation of multivariate expected ut
ility comparative statics for ''smooth'' nonexpected utility represent
ations. Specifically, we answer the following question: if an expected
utility comparative statics property depends only on preferences over
sure prospects, then when will a nonexpected utility maximizer with i
dentical sure preferences also satisfy that property? We demonstrate t
hat the effects of increased risk aversion are preserved under the ''A
lmost Degenerate Independence'' axiom; but that those bf distribution
changes of exogenous risks are not preserved under stringent assumptio
ns. Hence, nonexpected utility comparative statics may diverge from ex
pected utility, even for ''first-order'' properties-those whose effect
is determinable from restrictions on ''local'' utility functions.