Linear Tests for Decreasing Absolute Risk Aversion Stochastic Dominance
提出了基于递减绝对风险厌恶的随机占优关系的线性检验方法，应用于历史股票市场数据，发现被动市场组合相对于小盘股集中组合是DARA随机占优无效的，而均值方差和N阶随机占优规则低估了这种无效性。
We develop and implement linear formulations of convex stochastic dominance relations based on decreasing absolute risk aversion (DARA) for discrete and polyhedral choice sets. Our approach is based on a piecewise-exponential representation of utility and a local linear approximation to the exponentiation of log marginal utility. An empirical application to historical stock market data suggests that a passive stock market portfolio is DARA stochastic dominance inefficient relative to concentrated portfolios of small-cap stocks. The mean-variance rule and Nth-order stochastic dominance rules substantially underestimate the degree of market portfolio inefficiency because they do not penalize the unfavorable skewness of diversified portfolios, in violation of DARA. This paper was accepted by James Smith, decision analysis.