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Published May 2001 | public
Journal Article

Range convexity and ambiguity averse preferences

Abstract

We show that range convexity of beliefs, a `technical' condition that appears naturally in axiomatizations of preferences in a Savage-like framework, imposes some unexpected restrictions when modelling ambiguity averse preferences. That is, when it is added to a mild condition, range convexity makes the preferences collapse to subjective expected utility as soon as they satisfy structural conditions that are typically used to characterize ambiguity aversion.

Additional Information

© 2001 Springer-Verlag. Received: February 25, 2000; revised version: April 17, 2000. This paper was circulated earlier with the title "Convex-Rangedness in Decision Making with Additive and Non-Additive Beliefs". We thank an anonymous referee, Kim Border, Itzhak Gilboa, and especially Peter Wakker for helpful comments and discussions. Marinacci gratefully acknowledges the financial support of MURST.

Additional details

Created:
August 19, 2023
Modified:
October 26, 2023