IDEAS home Printed from https://ideas.repec.org/a/ags/aareaj/117962.html
   My bibliography  Save this article

Stochastic efficiency analysis with risk aversion bounds: a simplified approach

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/117962/files/j.1467-8489.2004.00239.x.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.22004/ag.econ.117962?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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, July.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hardaker, J. Brian & Lien, Gudbrand D., 2003. "Stochastic Efficiency Analysis With Risk Aversion Bounds: A Simplified Approach," Working Papers 12954, University of New England, School of Economics.
    2. Schumann, Keith D. & Richardson, James W. & Lien, Gudbrand D. & Hardaker, J. Brian, 2004. "Stochastic Efficiency Analysis Using Multiple Utility Functions," 2004 Annual meeting, August 1-4, Denver, CO 19957, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Jourdain, Damien & Scopel, Eric & Affholder, Francois, 2001. "The Impact Of Conservation Tillage On The Productivity And Stability Of Maize Cropping Systems: A Case Study In Western Mexico," Economics Working Papers 46549, CIMMYT: International Maize and Wheat Improvement Center.
    4. Scott Johnson, C. & Foster, Kenneth A., 1994. "Risk Preferences and Contracting In the U.S. Hog Industry," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 26(2), pages 393-405, December.
    5. King, Robert P., 1979. "Operational Techniques for Applied Decision Analysis Under Uncertainty," AAEA Fellows - Dissertations and Theses, Agricultural and Applied Economics Association, number 181951, December.
    6. John W. Ritchie & G. Yahya Abawi & Sunil C. Dutta & Trevor R. Harris & Michael Bange, 2004. "Risk management strategies using seasonal climate forecasting in irrigated cotton production: a tale of stochastic dominance," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 48(1), pages 65-93, March.
    7. Robison, Lindon J. & Abkin, Michael H., 1981. "Theoretical and Practical Models for Investment and Disinvestment Decision Making Under Uncertainty in the Energy Supply Industry," Agricultural Economic Report Series 201288, Michigan State University, Department of Agricultural, Food, and Resource Economics.
    8. Phillips Peter J. & Pohl Gabriela, 2018. "The Deferral of Attacks: SP/A Theory as a Model of Terrorist Choice when Losses Are Inevitable," Open Economics, De Gruyter, vol. 1(1), pages 71-85, February.
    9. Larson, James A. & Roberts, Roland K. & Tyler, Donald D. & Duck, Bob N. & Slinsky, Stephen P., 1998. "Nitrogen-Fixing Winter Cover Crops and Production Risk: A Case Study for No-Tillage Corn," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 30(1), pages 163-174, July.
    10. Lien, Gudbrand, 2003. "Assisting whole-farm decision-making through stochastic budgeting," Agricultural Systems, Elsevier, vol. 76(2), pages 399-413, May.
    11. Ritchie, John W. & Abawi, G. Yahya & Dutta, Sunil C. & Harris, Trevor R. & Bange, Michael, 2004. "Risk management strategies using seasonal climate forecasting in irrigated cotton production: a tale of stochastic dominance," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 48(1), pages 1-29.
    12. Drynan, Ross G., 1987. "Sufficient Conditions for Dominance of Simply Related Prospects," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 55(01), pages 1-12, April.
    13. Eidman, V., 1989. "Quantifying and managing risk in agriculture," 1989 Annual Conference, September 25-27, Bloemfontein, South Africa 314723, Agricultural Economics Association of South Africa (AEASA).
    14. Coffey, Brian K. & Skees, Jerry R. & Dillon, Carl R. & Anderson, John D., 2001. "Potential Effects Of Subsidized Livestock Insurance On Livestock Production," 2001 Annual meeting, August 5-8, Chicago, IL 20606, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    15. Robison, Lindon J. & Hanson, Steven D., 1995. "Analyzing Firm Response to Risk Using Mean-Variance Models," Staff Paper Series 201207, Michigan State University, Department of Agricultural, Food, and Resource Economics.
    16. Musser, Wesley N., 1994. "Progress In Risk Analysis In Regional Projects," 1994 Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses Risk, Technical Committee Meeting, March 24-26, 1994, Gulf Shores State Park, Alabama 271553, Regional Research Projects > S-232: Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk.
    17. Moshe Leshno & Haim Levy, 2002. "Preferred by "All" and Preferred by "Most" Decision Makers: Almost Stochastic Dominance," Management Science, INFORMS, vol. 48(8), pages 1074-1085, August.
    18. Bigman, David, 1995. "Approximation methods for ranking risky investment alternatives," Agricultural Economics, Blackwell, vol. 12(1), pages 1-9, April.
    19. Jock R. Anderson & William E. Griffiths, 1982. "Production Risk And Efficient Allocation Of Resources," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 26(3), pages 226-232, December.
    20. Robison, Lindon J. & King, Robert J., 1978. "Specification of Micro Risk Models for Farm Management and Policy Research," Agricultural Economic Report Series 201245, Michigan State University, Department of Agricultural, Food, and Resource Economics.

    More about this item

    Keywords

    Risk and Uncertainty;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ags:aareaj:117962. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/aaresea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.