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Stochastic Dominance and Absolute Risk Aversion

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Abstract

In this paper we propose the in?mum of the Arrow-Pratt index of absolute risk aversion as a measure of global risk aversion of a utility function. We show that, for any given arbitrary pair of distributions, there exists a threshold level of global risk aversion such that all increasing concave utility functions with at least as much global risk aversion would rank the two distributions in the same way. Furthermore, this threshold level is sharp in the sense that, for any lower level of global risk aversion, we can ?nd two utility functions in this class yielding opposite preference relations for the two distributions.

Suggested Citation

  • Jordi Caballé & Joan Esteban, 2003. "Stochastic Dominance and Absolute Risk Aversion," UFAE and IAE Working Papers 602.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:602.03
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    Cited by:

    1. is not listed on IDEAS
    2. Christian Gollier & Miles S. Kimball, 2018. "New methods in the classical economics of uncertainty: comparing risks," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(1), pages 5-23, May.
    3. Eisenhauer, Joseph G., 2006. "Risk aversion and prudence in the large," Research in Economics, Elsevier, vol. 60(4), pages 179-187, December.
    4. Eisenhauer, Joseph G., 2010. "Rank-ordering of risk preferences with conventional and discrete measures," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(3), pages 291-297, August.

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    Keywords

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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D30 - Microeconomics - - Distribution - - - General

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