A Simple Axiomatization of Nonadditive Expected Utility

Rakesh K Sarin and Peter Wakker

Econometrica, 1992, vol. 60, issue 6, 1255-72

Abstract: This paper provides an extension of L. J. Savage's subjective expected utility theory for decisions under uncertainty. It includes in the set of events both unambiguous events for which probabilities are additive and ambiguous events for which probabilities are permitted to be nonadditive. The main axiom is cumulative dominance, which adapts stochastic dominance to decision-making under uncertainty. The authors derive a Choquet expected utility representation and show that a modification of cumulative dominance leads to the classical expected utility representation. The relationship of their approach with that of D. Schmeidler, who uses a two-stage formulation to derive Choquet expected utility, is also explored. Copyright 1992 by The Econometric Society.

Date: 1992
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