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Stochastic efficiency analysis with risk aversion bounds: a simplified approach

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  • Hardaker, J. Brian
  • Richardson, James W.
  • Lien, Gudbrand D.
  • Schumann, Keith D.

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), orders a set of risky alternatives in terms of certainty equivalents for a specified range of attitudes to risk. It can be applied for conforming utility functions with risk attitudes defined by corresponding ranges of absolute, relative or partial risk aversion coefficients. Unlike conventional SDRF, SERF involves comparing each alternative with all the other alternatives simultaneously, not pairwise, and hence can produce a smaller efficient set than that found by simple pairwise SDRF over the same range of risk attitudes. Moreover, the method can be implemented in a simple spreadsheet with no special software needed.

Suggested Citation

  • Hardaker, J. Brian & Richardson, James W. & Lien, Gudbrand D. & Schumann, Keith D., 2004. "Stochastic efficiency analysis with risk aversion bounds: a simplified approach," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 48(2), pages 1-18.
    • Handle: RePEc:ags:aareaj:117962
    DOI: 10.22004/ag.econ.117962
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    1. Matthew Rabin & Richard H. Thaler, 2013. "Anomalies: Risk aversion," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 27, pages 467-480, World Scientific Publishing Co. Pte. Ltd..
    2. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    3. McCarl, Bruce A., 1988. "Preference Among Risky Prospects Under Constant Risk Aversion," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 20(2), pages 1-10, December.
    4. Meyer, Jack, 1977. "Choice among distributions," Journal of Economic Theory, Elsevier, vol. 14(2), pages 326-336, April.
    5. Tsiang, S C, 1972. "The Rationale of the Mean-Standard Deviation Analysis, Skewness Preference, and the Demand for Money," American Economic Review, American Economic Association, vol. 62(3), pages 354-371, June.
    6. Mjelde, James W. & Cochran, Mark J., 1988. "Obtaining Lower And Upper Bounds On The Value Of Seasonal Climate Forecasts As A Function Of Risk Preferences," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 13(2), pages 1-9, December.
    7. Lin, William W. & Chang, Hui S., 1978. "Specification Of Bernoullian Utility Function In Decision Analysis," Journal of Agricultural Economics Research, United States Department of Agriculture, Economic Research Service, vol. 30(1), pages 1-7, January.
    8. McCarl, Bruce A., 1990. "Generalized Stochastic Dominance: An Empirical Examination," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 22(1), pages 1-7, December.
    9. Robert P. King & Lindon J. Robison, 1981. "An Interval Approach to Measuring Decision Maker Preferences," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(3), pages 510-520.
    10. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    11. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
    12. Anderson, Jock R. & Dillon, John L. & Hardaker, Brian, 1977. "Agricultural Decision Analysis," Monographs: Applied Economics, AgEcon Search, number 288652, November.
    13. Goh, Siew & Shih, Chao-Chyuan & Cochran, Mark J. & Raskin, Rob, 1989. "A Generalized Stochastic Dominance Program for the IBM PC," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 21(2), pages 175-182, December.
    14. Goh, Siew & Shih, Chao-Chyuan & Cochran, Mark J. & Raskin, Rob, 1989. "A Generalized Stochastic Dominance Program For The Ibm Pc," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 21(2), pages 1-8, December.
    15. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
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