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Stochastic Dominance rules are playing an increasingly prominent role in the literature on choice under uncertainty. Their foundation is the mainstream VonNeumann-Morgenstern expected utility paradigm. Their essence is to provide an admissible set of choices under restrictions on the utility functions that follow from prevalent and appealing modes of economic behavior: The admissible sets generated are useful for a large group of individual decision makers and the optimal choice for an individual can then be obtained from among the smaller set of admissible choices.
Vijay S. Bawa (Thu,) studied this question.