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A Price Characterization of Efficient Random Variables
B. Peleg
M. E. Yaari
Abstract
Recently, a partial ordering "more risky than" on the set of distribution functions has been established by several authors. The following problem is investigated in this paper: characterize the maximal elements (efficient points) in the above ordering of a given set X of random variables. For a closed and convex set X of discrete random variables we give an essentially complete characterization of the efficient random variables by means of their systems of efficiency prices.
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