INFORMS Institute for Operations Research and the Management Sciences;Linthicum: INFORMS
摘要:
摘要： 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. 出版者： Linthicum: INFORMS 出版日期： 2013-05-01 出處： Management science, 2013-05, Vol.59 (5), p.1250-1254 資源來源： EBSCOhost Business Source Premier 版權： 2013 INFORMS 版權： COPYRIGHT 2013 Institute for Operations Research and the Management Sciences 版權： Copyright Institute for Operations Research and the Management Sciences May 2013 識別號： ISSN: 0025-1909 識別號： EISSN: 1526-5501 識別號： DOI: 10.1287/mnsc.1120.1616 識別號： CODEN: MNSCDI
