期刊
MATHEMATICAL PROGRAMMING
卷 89, 期 2, 页码 217-232出版社
SPRINGER-VERLAG
DOI: 10.1007/PL00011396
关键词
decisions under risk; stochastic dominance; mean-risk models; portfolio optimization
We analyze relations between two methods frequently used for modeling the choice among uncertain outcomes: stochastic dominance and mean-risk approaches. New necessary conditions for stochastic dominance are developed. These conditions compare values of a certain functional, which contains two components: the expected value of a random outcome and a risk term represented by the central semideviation of the corresponding degree. If the weight of the semideviation in the composite objective does not exceed the weight of the expected value, maximization of such a functional yields solutions which are efficient in terms of stochastic dominance. The results are illustrated graphically.
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