By: |
DENUIT, Michel (Université catholique de Louvain, Institut des Sciences Actuarielles & Institut de Statistique, B-1348 Louvain-la-Neuve, Belgium);
EECKHOUDT, Louis (IESEG School of Management, LEM, Université Catholique de Lille, France; Université catholique de Louvain, CORE, B-1348 Louvain-la-Neuve, Belgium);
TSETLIN, Ilia (INSEAD, Singapore);
WINKLER, Robert L. (Fuqua School of Business, Duke University, Durham, USA) |
Abstract: |
Stochastic dominance permits a partial ordering of alternatives (probability
distributions on consequences) based only on partial information about a
decision maker’s utility function. Univariate stochastic dominance has been
widely studied and applied, with general agreement on classes of utility
functions for dominance of different degrees. Extensions to the multivariate
case have received less attention and have used different classes of utility
functions, some of which require strong assumptions about utility. We
investigate multivariate stochastic dominance using a class of utility
functions that is consistent with a basic preference assumption, can be
related to well-known characteristics of utility, and is a natural extension
of the stochastic order typically used in the univariate case. These utility
functions are multivariate risk averse, and reversing the preference
assumption allows us to investigate stochastic dominance for utility functions
that are multivariate risk seeking. We provide insight into these two
contrasting forms of stochastic dominance, develop some criteria to compare
probability distributions (hence alternatives) via multivariate stochastic
dominance, and illustrate how this dominance could be used in practice to
identify inferior alternatives. Connections between our approach and dominance
using different stochastic orders are discussed. |
Keywords: |
decision analysis: multiple criteria, risk; group decisions; utility/preference: multiattribute utility, stochastic dominance, stochastic orders |
Date: |
2010–07–01 |
URL: |
http://d.repec.org/n?u=RePEc:cor:louvco:2010044&r=sea |