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The Knob of the Discord

Massimiliano Amarante and Fabio Maccheroni

No 0405-14, Discussion Papers from Columbia University, Department of Economics

Abstract: For (S, S) a measurable space, let C1 and C2 and be convex, weak* closed sets of probability measures on S. We show that if C1 C2 satisfies the Lyapunov property, then there exists a set A S such that min C1 (A) > max C2 (A). We give applications to Maxmin Expected Utility and to the core of a lower probability.

Date: 2004
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