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Preserving the Rothschild–Stiglitz type increase in risk with background risk: A characterization

Michel M. Denuit and Mhamed Mesfioui

Insurance: Mathematics and Economics, 2017, vol. 72, issue C, 1-5

Abstract: In order to generalize previous results by Li et al. (2016), Guo et al. (2016) extended the definition of the Rothschild–Stiglitz type of increase in risk to a background risk framework. They provided several sufficient conditions for such a ranking to hold, involving expectation dependence concepts. In this short note, the corresponding characterizations are established, based on the bivariate higher-degree increasing concave orders introduced by Denuit et al. (1999).

Keywords: Stochastic dominance; Higher-degree increasing concave orders; Expectation dependence; Risk aversion; Expected utility (search for similar items in EconPapers)
Date: 2017
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Handle: RePEc:eee:insuma:v:72:y:2017:i:c:p:1-5