Almost first-degree stochastic dominance for transformations and its application in insurance strategy

Feng Zhao, Jianwei Gao and Yundong Gu

No 2018-46, Economics Discussion Papers from Kiel Institute for the World Economy (IfW Kiel)

Abstract: Almost stochastic dominance is a relaxation of stochastic dominance, which allows small violations of stochastic dominance rules to avoid situations where most decision makers prefer one alternative to another but stochastic dominance cannot rank them. The authors first discuss the relations between almost first-degree stochastic dominance (AFSD) and the second-degree stochastic dominance (SSD), and demonstrate that the AFSD criterion is helpful to narrow down the SSD efficient set. Since the existing AFSD criterion is not convenient to rank transformations of random variables due to its relying heavily on cumulative distribution functions, the authors propose the AFSD criterion for transformations of random variables by means of transformation functions and the probability function of the original random variable. Moreover, they employ this method to analyze the transformations resulting from insurance and option strategy.

Keywords: stochastic dominance; almost stochastic dominance; transformation; utility theory (search for similar items in EconPapers)
JEL-codes: C51 D81 (search for similar items in EconPapers)
Date: 2018
New Economics Papers: this item is included in nep-ias, nep-ore and nep-upt
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Persistent link: https://EconPapers.repec.org/RePEc:zbw:ifwedp:201846

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