IDEAS home Printed from
   My bibliography  Save this paper

On inverse utility and third-order effects in the economics of uncertainty


  • AMIR, Rabah
  • CZUPRYNA, Marcin


We prove that the coefficient of absolute prudence is greater than k - times coefficient of absolute risk aversion for the utility function if and only if the coefficient of absolute prudence is (3-k) times the coefficient of absolute risk aversion for the inverse utility function. Moreover this is also equivalent to (k-2)-concavity of the first derivative of the inverse utility function.

Suggested Citation

  • AMIR, Rabah & CZUPRYNA, Marcin, 2004. "On inverse utility and third-order effects in the economics of uncertainty," CORE Discussion Papers 2004045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2004045

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. Bernard Sinclair-Desgagné & Marie-Cécile Fagart, 2004. "Auditing policies and information," Econometric Society 2004 North American Winter Meetings 86, Econometric Society.
    2. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    3. Eeckhoudt, Louis & Gollier, Christian & Schneider, Thierry, 1995. "Risk-aversion, prudence and temperance: A unified approach," Economics Letters, Elsevier, vol. 48(3-4), pages 331-336, June.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. Chade, Hector & Vera de Serio, Virginia N., 2014. "Wealth effects and agency costs," Games and Economic Behavior, Elsevier, vol. 86(C), pages 1-11.

    More about this item


    absolute prudence; absolute risk aversion; inverse utility function;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty


    Access and download statistics


    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:cor:louvco:2004045. 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: (Alain GILLIS). General contact details of provider: .

    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.