IDEAS home Printed from https://ideas.repec.org/a/eso/journl/v39y2008i1p1-12.html
   My bibliography  Save this article

Generalised Means of Simple Utility Functions with Risk Aversion

Author

Listed:
  • Conniffe, Denis

    (Dept. of Economics, National University of Ireland, Maynooth, Co. Kildare)

Abstract

The paper examines the properties of a generalised mean of simple utilities each displaying risk aversion, that is, with first derivative positive and second derivative negative. It shows the mean is itself a valid utility function and argues that simple component utilities, each of which may have quite restricted risk aversion properties, can be parsimoniously combined through the generalised mean formula to give a much more versatile utility function.

Suggested Citation

  • Conniffe, Denis, 2008. "Generalised Means of Simple Utility Functions with Risk Aversion," The Economic and Social Review, Economic and Social Studies, vol. 39(1), pages 1-12.
  • Handle: RePEc:eso:journl:v:39:y:2008:i:1:p:1-12
    as

    Download full text from publisher

    File URL: http://www.esr.ie/Vol39_1/01%20Conniffe.pdf
    File Function: First version, 2008
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Denis Conniffe, 2002. "Sums and Products of Indirect Utility Functions," The Economic and Social Review, Economic and Social Studies, vol. 33(3), pages 285-295.
    2. Maurice J. Roche, 2006. "The equity premium puzzle and decreasing relative risk aversion," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 2(3), pages 179-182, May.
    3. Peter H. Farquhar & Yutaka Nakamura, 1987. "Constant Exchange Risk Properties," Operations Research, INFORMS, vol. 35(2), pages 206-214, April.
    4. Danyang Xie, 2000. "Power Risk Aversion Utility Functions," Annals of Economics and Finance, Society for AEF, vol. 1(2), pages 265-282, November.
    5. Conniffe Denis, 2007. "A Note on Generating Globally Regular Indirect Utility Functions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-13, January.
    6. Meyer, Donald J. & Meyer, Jack, 2005. "Risk preferences in multi-period consumption models, the equity premium puzzle, and habit formation utility," Journal of Monetary Economics, Elsevier, vol. 52(8), pages 1497-1515, November.
    7. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    8. David E. Bell & Peter C. Fishburn, 2001. "Strong One-Switch Utility," Management Science, INFORMS, vol. 47(4), pages 601-604, April.
    9. Caballe, Jordi & Pomansky, Alexey, 1996. "Mixed Risk Aversion," Journal of Economic Theory, Elsevier, vol. 71(2), pages 485-513, November.
    10. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June.
    11. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
    12. Gerry Boyle & Denis Conniffe, 2006. "Compatibility of Expected Utility and µ/s Approaches to Risk for a Class of Non Location-Scale Distributions," Economics, Finance and Accounting Department Working Paper Series n1670406, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
    13. Nakamura, Yutaka, 1996. "Sumex utility functions," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 39-47, February.
    14. Prof. Denis Conniffe, 2002. "Sums and Products of Indirect Utility Functions," NIRSA Working Paper Series 6, National Institute for Regional and Spatial Analysis (NIRSA), NUI Maynooth, Ireland..
    15. Gregory M. Gelles & Douglas W. Mitchell, 1999. "Broadly Decreasing Risk Aversion," Management Science, INFORMS, vol. 45(10), pages 1432-1439, October.
    16. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
    Full references (including those not matched with items on IDEAS)

    More about this item

    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:eso:journl:v:39:y:2008:i:1:p:1-12. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Martina Lawless). General contact details of provider: https://www.esr.ie .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.