Expected multi-utility representations

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.