IDEAS home Printed from https://ideas.repec.org/p/man/sespap/0207.html
   My bibliography  Save this paper

Risk Aversion in Cumulative Prospect Theory

Author

Listed:
  • U Schmidt
  • H Zank

Abstract

This paper characterizes the conditions for risk aversion in cumulative prospect theory where risk aversion is defined in the strong sense (Rothshild Stiglitz 1970). Under weaker assumptions than differentiability we show that risk aversion implies convex weighting functions for gains and for losses but not necessarily a concave utility function. Also, we investigate the exact relationship between loss aversion and risk aversion. We illustrate the analysis by considering two special cases of cumulative prospect theory and show that risk aversion and convex utility may coexist.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • U Schmidt & H Zank, 2002. "Risk Aversion in Cumulative Prospect Theory," Economics Discussion Paper Series 0207, Economics, The University of Manchester.
  • Handle: RePEc:man:sespap:0207
    as

    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:

    Citations

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


    Cited by:

    1. Bahamonde-Birke, Francisco J., 2018. "Estimating the reference frame: A smooth twice-differentiable utility function for non-compensatory loss-averse decision-making," Journal of choice modelling, Elsevier, vol. 28(C), pages 71-81.
    2. Mohammed Abdellaoui & Olivier L’Haridon & Horst Zank, 2010. "Separating curvature and elevation: A parametric probability weighting function," Journal of Risk and Uncertainty, Springer, vol. 41(1), pages 39-65, August.
    3. Ulrich Schmidt & Chris Starmer & Robert Sugden, 2008. "Third-generation prospect theory," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 203-223, June.
    4. Yang-Yu Liu & Jose C Nacher & Tomoshiro Ochiai & Mauro Martino & Yaniv Altshuler, 2014. "Prospect Theory for Online Financial Trading," PLOS ONE, Public Library of Science, vol. 9(10), pages 1-7, October.
    5. Ulrich Schmidt & Horst Zank, 2005. "What is Loss Aversion?," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 157-167, January.
    6. Ulrich Schmidt & Horst Zank, 2007. "Linear cumulative prospect theory with applications to portfolio selection and insurance demand," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 30(1), pages 1-18, May.
    7. Maier, Johannes & Rüger, Maximilian, 2010. "Measuring Risk Aversion Model-Independently," Discussion Papers in Economics 11873, University of Munich, Department of Economics.
    8. Ryan, Matthew J., 2006. "Risk aversion in RDEU," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 675-697, September.
    9. Horst Zank, 2010. "On probabilities and loss aversion," Theory and Decision, Springer, vol. 68(3), pages 243-261, March.
    10. Yang-Yu Liu & Jose C. Nacher & Tomoshiro Ochiai & Mauro Martino & Yaniv Altshuler, 2014. "Prospect Theory for Online Financial Trading," Papers 1402.6393, arXiv.org, revised Mar 2014.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:man:sespap:0207. 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: . General contact details of provider: https://edirc.repec.org/data/semanuk.html .

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Marianne Sensier (email available below). General contact details of provider: https://edirc.repec.org/data/semanuk.html .

    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.