Modifying the Mean-Variance Approach to Avoid Violations of Stochastic Dominance
针对马科维茨均值-方差方法隐含的一阶随机占优违反现象，提出一个无此问题的新模型，通过期望效用与效用离散度的线性权衡，能解释阿莱悖论等行为规律。
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 ∈ [−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.