Revisiting Almost Second-Degree Stochastic Dominance
Revisiting Almost Second-Degree Stochastic Dominance
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DOI：
10.1287/mnsc.1120.1616
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发表时间：
2013-05
期刊：
影响因子：
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通讯作者：
Larry Y. Tzeng;Rachel J. Huang;Pai-Ta Shih
中科院分区：
文献类型：
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作者：
Larry Y. Tzeng;Rachel J. Huang;Pai-Ta Shih
Leshno和Levy [Leshno M，Levy H（2002）首选“ ALL”，而“大多数”决策者的首选：几乎是随机的主导地位。对于大多数，而不是所有具有越来越多的决策者，我们首先提供了与几乎二级相关的主要理论的反例然后，我们重新定义了这种优势条件，并表明新定义的几乎二级随机优势是对所有决策者的分布的必要条件，而不包括病理凹面。随机的主导地位。
Leshno and Levy [Leshno M, Levy H (2002) Preferred by “all” and preferred by “most” decision makers: Almost stochastic dominance. Management Sci. 48(8):1074--1085] established almost stochastic dominance to reveal preferences for most rather than all decision makers with an increasing and concave utility function. In this paper, we first provide a counterexample to the main theorem of Leshno and Levy related to almost second-degree stochastic dominance. We then redefine this dominance condition and show that the newly defined almost second-degree stochastic dominance is the necessary and sufficient condition to rank distributions for all decision makers excluding the pathological concave preferences. We further extend our results to almost higher-degree stochastic dominance. This paper was accepted by Peter Wakker, decision analysis.