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Comparative Risk Aversion When the Outcomes are Vectors

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  • Sudhir A. Shah

Abstract

Pratt (1964) and Yaari (1969) contain the classical results pertaining to the equivalence of various notions of comparative risk aversion of von Neumann- Morgenstern utilities in the setting with real-valued outcomes. They have obtained analogues of the classical results in the setting with outcomes in ordered topological vector spaces when differentiability is not required, and in the setting with out comes in ordered Hilbert spaces when differentiability is required, as is the case when we work with a vector-valued generalized notion of an Arrow-Pratt coefficient. [Working Paper No. 149]

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  • Sudhir A. Shah, 2010. "Comparative Risk Aversion When the Outcomes are Vectors," Working Papers id:2907, eSocialSciences.
    • Handle: RePEc:ess:wpaper:id:2907
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    References listed on IDEAS

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    5. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1992. "Many good choice Axioms: When can many-good lotteries be treated as money lotteries?," Journal of Economic Theory, Elsevier, vol. 56(2), pages 313-337, April.
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    7. Duncan, George T, 1977. "A Matrix Measure of Multivariate Local Risk Aversion," Econometrica, Econometric Society, vol. 45(4), pages 895-903, May.
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