Journal Article

Risk Aversion in Cumulative Prospect Theory

Management Science

This paper characterizes the conditions for strong risk aversion and secondorder stochastic dominance for cumulative prospect theory. Strong risk aversion implies a convex weighting function for gains and a concave one for losses. It does not necessarily imply a concave utility function. The latter does follow if the weighting functions are continuous. By investigating the exact relationship between loss aversion and strong risk aversion a natural index for the degree of loss aversion is derived.