Uncertainty aversion, multi utility representations and state independence of utility

This paper proposes and characterises a model of uncertainty averse preferences that can simultaneously accommodate three divergences from subjective expected utility: imprecision of beliefs (or ambiguity), imprecision of tastes (or multi utility), and state dependence of utility. Moreover, it characterises, in this context, a notion of state independence of utility borrowed from the literature on incomplete preferences. This notion is then shown to be basically inconsistent with the standard state-independence axiom, monotonicity, whenever tastes are imprecise. A new notion of state independence in the context of imprecise tastes, which is characterised by monotonicity, is proposed