Dominanza stocastica con avversione al rischio

The aim of this paper is to generalize a result of [4] about stochastic dominance under the assumption of risk aversion. The generalization consists in considering the case of random variables defined on a lattice. We introduce a class of real valued utility functions on a lattice, we show their properties in terms of comparison of lotteries and risk aversiion. The main result of the paper is a characterization of stochastic dominance through this class of functions. © 1897 Springer-Verlag