On risk aversion with two risks

Marco Scarsini, Israel Finkelshtain and Offer Kella

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Abstract: We consider necessary and sufficient conditions for risk aversion to one risk in the presence of another non-insurable risk. The conditions (on the bivariate utility function) vary according to the conditions imposed on the joint distribution of the risks. If only independent risks are considered, then any utility function which is concave in its first argument will satisfy the condition of risk aversion. If risk aversion is required for all possible pairs of risks, then the bivariate utility function has to be additively separable. An interesting intermediate case is obtained for random pairs that possess a weak form of positive dependence. In that case, the utility function will exhibit both risk aversion (concavity) in its first argument, and bivariate risk aversion (submodularity).

Keywords: Risk aversion; Bivariate risk aversion; Submodularity; Concavity; Positive dependence (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (39)

Published in Journal of Mathematical Economics, 1999, Vol. 31, N°2, pp. 239-250. ⟨10.1016/S0304-4068(97)00058-X⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00540256

DOI: 10.1016/S0304-4068(97)00058-X

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