A savage-like representation theorem for preferences on multi-acts

Abstract

We deal with a Savage-like decision problem under uncertainty where, for every state of the world, the consequence of each decision (multi-act) is generally uncertain: the decision maker only knows the set of possible alternatives where it can range (multi-consequence). A Choquet expected utility representation theorem for a preference relation on multi-acts is provided, relying on a state-independent cardinal utility function defined on the (finite) set of all alternatives.