IDEAS home Printed from https://ideas.repec.org/a/ags/wjagec/32243.html
   My bibliography  Save this article

Interpretations And Transformations Of Scale For The Pratt-Arrow Absolute Risk Aversion Coefficient: Implications For Generalized Stochastic Dominance

Author

Listed:
  • Raskin, Rob
  • Cochran, Mark J.

Abstract

The Pratt-Arrow measure of absolute risk aversion, as defined by r(x)=-un(x)/u1(x), is well known to be invariant to linear transformations. However, this invariance property applies with respect to transformations of u and not with respect to arbitrary rescalings of the outcome variables, x. The effects of this misunderstanding has led to ambiguity in classifying attitudes by risk aversion coefficients. It is shown that inappropriate rescalings of the outcome variable can lead to inaccurate rankings produced by generalized stochastic dominance.

Suggested Citation

  • Raskin, Rob & Cochran, Mark J., 1986. "Interpretations And Transformations Of Scale For The Pratt-Arrow Absolute Risk Aversion Coefficient: Implications For Generalized Stochastic Dominance," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 11(2), pages 1-7, December.
    • Handle: RePEc:ags:wjagec:32243
    DOI: 10.22004/ag.econ.32243
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/32243/files/11020204.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.32243?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. Rister, M. Edward & Skees, Jerry R. & Black, J. Roy, 1984. "Evaluating Use Of Outlook Information In Grain Sorghum Storage Decisions," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 16(1), pages 1-8, July.
    2. 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.
    3. Robert P. King & George E. Oamek, 1983. "Risk Management by Colorado Dryland Wheat Farmers and the Elimination of the Disaster Assistance Program," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 65(2), pages 247-255.
    4. 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.
    5. King, Robert P. & Lybecker, Donald W., 1983. "Flexible, Risk-Oriented Marketing Strategies For Pinto Bean Producers," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 8(2), pages 1-10, December.
    6. Randall A. Kramer & Rulon D. Pope, 1981. "Participation in Farm Commodity Programs: A Stochastic Dominance Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(1), pages 119-128.
    7. Rister, M. Edward & Skees, Jerry R. & Black, J. Roy, 1984. "Evaluating Use of Outlook Information in Grain Sorghum Storage Decisions," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 16(1), pages 151-158, July.
    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. 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.
    2. 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.
    3. Bruce A. McCarl & David A. Bessler, 1989. "Estimating An Upper Bound On The Pratt Risk A Version Coefficient When The Utility Function Is Unknown," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 33(1), pages 56-63, April.
    4. Babcock, Bruce A. & Choi, E. Kwan & Feinerman, Eli, 1993. "Risk And Probability Premiums For Cara Utility Functions," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 18(1), pages 1-8, July.
    5. 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.
    6. Anaman, Kwabena A. & Boggess, William G., 1986. "A Stochastic Dominance Analysis Of Alternative Marketing Strategies For Mixed Crop Farms In North Florida," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 18(2), pages 1-9, December.
    7. Teague, Paul W. & Lee, John G., 1988. "Risk Efficient Perennial Crop Selection: A Motad Approach To Citrus Production," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 20(2), pages 1-8, December.
    8. 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.
    9. King, Robert P., 1986. "Discussion Remarks On Stochastic Dominance The State Of The Art In Agricultural Economics," Regional Research Projects > 1986: S-180 Annual Meeting, March 23-26, 1986, Tampa, Florida 271996, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.
    10. Campbell, Robert B. & Turnovsky, Stephen J., 1985. "An analysis of the stabilizing and welfare effects of intervention in spot and futures markets," Journal of Public Economics, Elsevier, vol. 28(2), pages 165-209, November.
    11. Drynan, Ross G., 1986. "A Note On Optimal Rules For Stochastic Efficiency Analysis," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 30(1), pages 1-10, April.
    12. Hinson, Roger A. & Lee, John G. & Huh, Mooyul, 1990. "Evaluation Of Selected Fresh Vegetable Terminal Markets: A Stochastic Dominance Approach," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 22(2), pages 1-10, December.
    13. 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.
    14. 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.
    15. Anderson, Jock R. & Dillon, John L. & Hardaker, J. Brian, 1985. "Farmers and Risk," 1985 Conference, August 26-September 4, 1985, Malaga, Spain 183026, International Association of Agricultural Economists.
    16. Maynard, Leigh J. & Harper, Jayson K. & Hoffman, Lynn D., 1997. "Impact Of Risk Preferences On Crop Rotation Choice," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 26(1), pages 1-9, April.
    17. 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.
    18. Harris, Thomas R. & Seung, Chang K. & Narayanan, Rangesan, 2001. "Targeting Economic Diversification: An Application of Target MOTAD Procedures," The Review of Regional Studies, Southern Regional Science Association, vol. 31(2), pages 197-215, Fall.
    19. Yangxuan Liu & Michael R. Langemeier & Ian M. Small & Laura Joseph & William E. Fry & Jean B. Ristaino & Amanda Saville & Benjamin M. Gramig & Paul V. Preckel, 2018. "A Risk Analysis of Precision Agriculture Technology to Manage Tomato Late Blight," Sustainability, MDPI, vol. 10(9), pages 1-19, August.
    20. Pederson, Glenn D., 1985. "Strategies for Managing Risk Under Long-Term Farmland Leases," AE Series 231496, North Dakota State University, Department of Agribusiness and Applied 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:wjagec:32243. 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/waeaaea.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.