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Stochastic Dominance and Conditional Expectation—An Insurance Theoretical Approach

Anders Borglin and Hans Keiding
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Anders Borglin: Economics Department, University of Lund, Ekonomicentrum, Tycho Brakes vag 1, S-22007 Lund, Sweden, e-mail: anders.borglin@nek.iu.se
Hans Keiding: Institute of Economics, University of Copenhagen, Studie Straede 6, DK-1456, Copenhagen K, Denmark, e-mail: Hans.Keiding@econ.ku.dk

The Geneva Risk and Insurance Review, 2002, vol. 27, issue 1, 48 pages

Abstract: We show that the relation of second order stochastic dominance, which has found widespread use in models of economic behavior under uncertainty, may be described in terms of conditional expectation. If a distribution G second order stochastically dominates another distribution F, then there are random variables g and f with distributions G and F, respectively, such that g can be obtained from f by iterated conditional expectation. In terms of insurance, this shows that the less risky distribution can be obtained by a sequence of insurance contracts each one insuring against the residual risk left over from the previous contracts. The Geneva Papers on Risk and Insurance Theory (2002) 27, 31–48. doi:10.1023/A:1020629424238

Date: 2002
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