We prove the existence of Pareto optimal allocations within sets of acceptable allocations when decision makers have probabilistic sophisticated variational preferences defined on random endowments in L1. Pareto optimal allocations, variational preferences, probabilistic sophistication,...

We study optimal portfolio choice and equilibrium asset prices induced by alpha-maxmin expected utility (alpha-MEU) models. In the standard Ellsberg framework we prove that alpha-MEU preferences are equivalent to either maxmin, maxmax or subjective expected utility (SEU). We show how ambiguity...