IDEAS home Printed from
   My bibliography  Save this article

First-order risk aversion and non-differentiability (*)


  • Uzi Segal

    (Department of Economics, University of Western Ontario, London, CANADA N6A 5C2)

  • Avia Spivak

    (Department of Economics, Ben Gurion University, Beer Sheva 84105, ISRAEL)


First-order risk aversion happens when the risk premium a decision maker is willing to pay to avoid the lottery $t\cdot {\tilde \epsilon }, E[{\tilde \epsilon }]=0,$ is proportional, for small t, to t. Equivalently, $\partial \pi /\partial t\mid_{t=0^{+}}> 0.$ We show that first-order risk aversion is equivalent to a certain non-differentiability of some of the local utility functions (Machina [7]).

Suggested Citation

  • Uzi Segal & Avia Spivak, 1996. "First-order risk aversion and non-differentiability (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 179-183.
  • Handle: RePEc:spr:joecth:v:9:y:1996:i:1:p:179-183 Note: Received: June 26, 1995; revised version November 20, 1995

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    1. Neary, J Peter, 2002. "Foreign Competition and Wage Inequality," Review of International Economics, Wiley Blackwell, vol. 10(4), pages 680-693, November.
    2. Fridolfsson, Sven-Olof & Stennek, Johan, 2005. "Hold-up of anti-competitive mergers," International Journal of Industrial Organization, Elsevier, vol. 23(9-10), pages 753-775, December.
    3. Persson, Lars, 2004. "Predation and mergers: Is merger law counterproductive?," European Economic Review, Elsevier, vol. 48(2), pages 239-258, April.
    4. Blonigen, Bruce A, 1997. "Firm-Specific Assets and the Link between Exchange Rates and Foreign Direct Investment," American Economic Review, American Economic Association, vol. 87(3), pages 447-465, June.
    5. Kamal Saggi & Halis Murat Yildiz, 2006. "On the International Linkages between Trade and Merger Policies," Review of International Economics, Wiley Blackwell, vol. 14(2), pages 212-225, May.
    6. Kjell Erik Lommerud & Odd Rune Straume & Lars Sørgard, 2006. "National versus international mergers in unionized oligopoly," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 212-233, March.
    7. Nocke, Volker & Yeaple, Stephen, 2007. "Cross-border mergers and acquisitions vs. greenfield foreign direct investment: The role of firm heterogeneity," Journal of International Economics, Elsevier, vol. 72(2), pages 336-365, July.
    8. Keith Head & John Ries, 1997. "International Mergers and Welfare under Decentralized Competition Policy," Canadian Journal of Economics, Canadian Economics Association, vol. 30(4), pages 1104-1123, November.
    9. Straume, Odd Rune, 2003. "International mergers and trade liberalisation: implications for unionised labour," International Journal of Industrial Organization, Elsevier, vol. 21(5), pages 717-735, May.
    10. Mattoo, Aaditya & Olarreaga, Marcelo & Saggi, Kamal, 2004. "Mode of foreign entry, technology transfer, and FDI policy," Journal of Development Economics, Elsevier, vol. 75(1), pages 95-111, October.
    11. Morton I. Kamien & Israel Zang, 1990. "The Limits of Monopolization Through Acquisition," The Quarterly Journal of Economics, Oxford University Press, vol. 105(2), pages 465-499.
    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. Zvi Safra & Uzi Segal, 2008. "Calibration Results for Non-Expected Utility Theories," Econometrica, Econometric Society, vol. 76(5), pages 1143-1166, September.
    2. repec:kap:iaecre:v:17:y:2011:i:2:p:169-180 is not listed on IDEAS
    3. Safra, Zvi & Segal, Uzi, 2002. "On the Economic Meaning of Machina's Frechet Differentiability Assumption," Journal of Economic Theory, Elsevier, vol. 104(2), pages 450-461, June.
    4. Matthias Lang, 2015. "First-Order and Second-Order Ambiguity Aversion," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2015_13, Max Planck Institute for Research on Collective Goods.
    5. Dionne, Georges & Li, Jingyuan, 2014. "When can expected utility handle first-order risk aversion?," Journal of Economic Theory, Elsevier, vol. 154(C), pages 403-422.

    More about this item

    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:spr:joecth:v:9:y:1996:i:1:p:179-183. 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: (Sonal Shukla) or (Rebekah McClure). 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.

    We have no references for this item. You can help adding them by using 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.