Article ID Journal Published Year Pages File Type
973238 Mathematical Social Sciences 2012 5 Pages PDF
Abstract

This paper axiomatizes expected multi-utility representations of incomplete preferences under risk and under uncertainty. The von Neumann–Morgenstern expected utility model with incomplete preferences is revisited using a “constructive” approach, as opposed to earlier treatments that use convex analysis.

► Expected multi-utility representation of incomplete preferences under risk. ► Additive separable multi-utility representation of incomplete preferences under uncertainty. ► A constructive proof of expected multi-utility representation of incomplete preferences.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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