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Stochastic Efficiency Analysis With Risk Aversion Bounds: A Simplified Approach

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Author Info
Hardaker, J. Brian
Lien, Gudbrand
Abstract

A method of stochastic dominance analysis with respect to a function (SDRF) is described and illustrated. The method, called stochastic efficiency with respect to a function (SERF), partitions a set of risky alternatives in terms of certainty equivalents for a specified range of attitudes to risk. It can be applied for any utility function with risk attitudes defined by corresponding ranges of absolute, relative or partial risk aversion coefficients. SERF involves comparing each alternative with all the other alternatives simultaneously, not pairwise as with conventional SDRF. Hence it yields a subset of the efficient set found by SDRF. Moreover, the method is readily implemented in a simple spreadsheet with no special software needed.

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Paper provided by University of New England, School of Economics in its series Working Papers with number 12954.

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Date of creation: 2003
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Handle: RePEc:ags:uneewp:12954

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Related research
Keywords: risk analysis; stochastic dominance with respect to a function; risk aversion.; Risk and Uncertainty;

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References listed on IDEAS
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  1. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March. [Downloadable!] (restricted)
  2. Fishburn, Peter C., 1974. "Convex stochastic dominance with continuous distribution functions," Journal of Economic Theory, Elsevier, vol. 7(2), pages 143-158, February. [Downloadable!] (restricted)
  3. Bawa, Vijay S, et al, 1985. " On Determination of Stochastic Dominance Optimal Sets," Journal of Finance, American Finance Association, vol. 40(2), pages 417-31, June. [Downloadable!] (restricted)
  4. Hanoch, G & Levy, Haim, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Blackwell Publishing, vol. 36(107), pages 335-46, July. [Downloadable!] (restricted)
  5. Anderson, Jock R. & Feder, Gershon, 2007. "Agricultural Extension," Handbook of Agricultural Economics, Elsevier. [Downloadable!] (restricted)
  6. Hardaker, J. Brian & Patten, Louise H. & Pannell, David J., 1988. "Utility-Efficient Programming For Whole-Farm Planning," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 32(02-03). [Downloadable!]
  7. Meyer, Jack, 1977. "Choice among distributions," Journal of Economic Theory, Elsevier, vol. 14(2), pages 326-336, April. [Downloadable!] (restricted)
  8. McCarl, Bruce A., 1988. "Preference Among Risky Prospects Under Constant Risk Aversion," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 20(02), December. [Downloadable!]
  9. McCarl, Bruce A., 1990. "Generalized Stochastic Dominance: An Empirical Examination," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 22(02), December. [Downloadable!]
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