Finding the worst-case value of a preference over a set of plausible models is a well-established approach to address the issue of model uncertainty or ambiguity. In this paper, we study the worst-case evaluation of Yaari's dual utility functionals of an aggregate risk under dependence...

This paper analyzes the optimal investment policies of rank-dependent utility maximizing investor who must manage the risk exposure using a general law- invariant risk measure such as Value-at-Risk and tail Value-at-Risk. The analytic optimal solution is obtained via the so-called quantile...

Bernard et al. (2015) study an optimal insurance design problem where an individual's preference is of the rank-dependent utility (RDU) type, and show that in general an optimal contract covers both large and small losses. However, their contracts suffer from a problem of moral hazard for paying...