IDEAS home Printed from https://ideas.repec.org/p/ags/uneewp/12954.html
   My bibliography  Save this paper

Stochastic Efficiency Analysis With Risk Aversion Bounds: A Simplified Approach

Author

Listed:
  • Hardaker, J. Brian
  • Lien, Gudbrand 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), 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.

Suggested Citation

  • 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.
    • Handle: RePEc:ags:uneewp:12954
    DOI: 10.22004/ag.econ.12954
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/12954/files/wp030001.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.12954?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
    ---><---

    References listed on IDEAS

    as
    1. Fishburn, Peter C., 1974. "Convex stochastic dominance with continuous distribution functions," Journal of Economic Theory, Elsevier, vol. 7(2), pages 143-158, February.
    2. Bawa, Vijay S, et al, 1985. "On Determination of Stochastic Dominance Optimal Sets," Journal of Finance, American Finance Association, vol. 40(2), pages 417-431, June.
    3. Meyer, Jack, 1977. "Choice among distributions," Journal of Economic Theory, Elsevier, vol. 14(2), pages 326-336, April.
    4. McCarl, Bruce A., 1988. "Preference Among Risky Prospects Under Constant Risk Aversion," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 20(2), pages 25-34, December.
    5. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
    6. Anderson, Jock R. & Dillon, John L. & Hardaker, Brian, 1977. "Agricultural Decision Analysis," Monographs: Applied Economics, AgEcon Search, number 288652, July.
    7. Anderson, Jock R. & Feder, Gershon, 2007. "Agricultural Extension," Handbook of Agricultural Economics, in: Robert Evenson & Prabhu Pingali (ed.), Handbook of Agricultural Economics, edition 1, volume 3, chapter 44, pages 2343-2378, Elsevier.
    8. J. Brian Hardaker & Louise H. Patten & David J. Pannell, 1988. "Utility‐Efficient Programming For Whole‐Farm Planning," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 32(2-3), pages 88-97, 08-12.
    9. 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.
    10. Mark J. Cochran & Lindon J. Robison & Weldon Lodwick, 1985. "Improving the Efficiency of Stochastic Dominance Techniques Using Convex Set Stochastic Dominance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(2), pages 289-295.
    11. 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.
    12. 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.
    13. 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.
    14. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. van Mellor, Thuy & Alexander, Corinne E. & Bledsoe, Larry & Krupke, Christian, 2006. "An Economic Analysis of Control of the Western Corn Rootworm Variant across Indiana," 2006 Annual meeting, July 23-26, Long Beach, CA 21264, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Grove, Bennie & Nel, F. & Maluleke, H.H., 2006. "Stochastic efficiency analysis of alternative water conservation strategies," Agrekon, Agricultural Economics Association of South Africa (AEASA), vol. 45(1), pages 1-10, March.
    3. Elliott, L.M. & Saleh, S. & Elliott, M.S., 2018. "Can Camelina and Carinata Be Profitable in South Dakota," Journal of the ASFMRA, American Society of Farm Managers and Rural Appraisers, vol. 2018.
    4. Grove, Bennie, 2006. "Stochastic efficiency optimisation of alternative agricultural water use strategies," Agrekon, Agricultural Economics Association of South Africa (AEASA), vol. 45(4), pages 1-15, December.
    5. Gicheha, M.G. & Edwards, G.R. & Bell, S.T. & Burtt, E.S. & Bywater, A.C., 2014. "Embedded risk management in dryland sheep systems II. Risk analysis," Agricultural Systems, Elsevier, vol. 124(C), pages 1-11.

    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. J. Brian Hardaker & James W. Richardson & Gudbrand Lien & Keith D. Schumann, 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 253-270, June.
    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. 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).
    5. Post, Thierry & Kopa, Miloš, 2013. "General linear formulations of stochastic dominance criteria," European Journal of Operational Research, Elsevier, vol. 230(2), pages 321-332.
    6. Zentner, Robert P. & Greene, Duty D. & Hickenbotham, Terry L. & Eidman, Vernon R., 1981. "Ordinary And Generalized Stochastic Dominance: A Primer," Staff Papers 14184, University of Minnesota, Department of Applied Economics.
    7. Cochran, Mark J., 1986. "Stochastic Dominance: The State Of The Art In Agricultural Economics," Regional Research Projects > 1986: S-180 Annual Meeting, March 23-26, 1986, Tampa, Florida 271995, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.
    8. Post, G.T., 2001. "Testing for Stochastic Dominance with Diversification Possibilities," ERIM Report Series Research in Management ERS-2001-38-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    9. David J. Pannell, 1991. "Pests and pesticides, risk and risk aversion," Agricultural Economics, International Association of Agricultural Economists, vol. 5(4), pages 361-383, August.
    10. Torkamani, Javad, 2005. "Using a whole-farm modelling approach to assess prospective technologies under uncertainty," Agricultural Systems, Elsevier, vol. 85(2), pages 138-154, August.
    11. 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.
    12. 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.
    13. 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.
    14. Wetzstein, Michael E. & Szmedra, Philip I. & McClendon, Ronald W. & Edwards, David M., 1988. "Efficiency Criteria And Risk Aversion: An Empirical Evaluation," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 20(1), pages 1-8, July.
    15. Anderson, Jock R. & Griffiths, William E., 1982. "Production Risk And Efficient Allocation Of Resources," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 26(3), pages 1-7, December.
    16. Andrey Lizyayev, 2010. "Stochastic Dominance Efficiency Analysis of Diversified Portfolios: Classification, Comparison and Refinements," Tinbergen Institute Discussion Papers 10-084/2, Tinbergen Institute.
    17. Kallio, Markku & Dehghan Hardoroudi, Nasim, 2018. "Second-order stochastic dominance constrained portfolio optimization: Theory and computational tests," European Journal of Operational Research, Elsevier, vol. 264(2), pages 675-685.
    18. Liu, Yangxuan & Langemeier, Michael & Small, Ian & Joseph, Laura & Fry, William, 2015. "Risk management strategies using potato precision farming technology," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205417, Agricultural and Applied Economics Association.
    19. Levy, Moshe, 2009. "Almost Stochastic Dominance and stocks for the long run," European Journal of Operational Research, Elsevier, vol. 194(1), pages 250-257, April.
    20. Arvanitis, Stelios & Post, Thierry & Potì, Valerio & Karabati, Selcuk, 2021. "Nonparametric tests for Optimal Predictive Ability," International Journal of Forecasting, Elsevier, vol. 37(2), pages 881-898.

    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:uneewp:12954. 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/deuneau.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.