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Modifying the mean-variance approach to avoid violations of stochastic dominance

Blavatskyy, P.R. (2010) Modifying the mean-variance approach to avoid violations of stochastic dominance. Management Science, 56 (11). pp. 2050-2057.

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The mean-variance approach is an influential theory of decision under risk proposed by Markowitz (Markowitz, H. 1952. Portfolio selection. J. Finance 7(1) 77-91). The mean-variance approach implies violations of first-order stochastic dominance not commonly observed in the data. This paper proposes a new model in the spirit of the classical mean-variance approach without violations of stochastic dominance. The proposed model represents preferences by a functional U(L)-ρ r (L), where U (L) denotes the expected utility of lottery L, ρ σ [-1, 1] is a subjective constant, and r (L) is the mean absolute (utility) semideviation of lottery L. The model comprises a linear trade-off between expected utility and utility dispersion. The model can accommodate several behavioral regularities such as the Allais paradox and switching behavior in Samuelson's example.

Item Type: Journal Article
Journal or Publication Title: Management Science
Page Range: pp. 2050-2057
Publisher: Institute for Operations Research and Management Sciences
Copyright: © 2010 INFORMS.
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