Advanced Search
MyIDEAS: Login to save this paper or follow this series

Risk Aversion in Cumulative Prospect Theory

Contents:

Author Info

  • Schmidt, Ulrich

    (Christian-Albrechts-Universit”t zu Kiel, The University of Manchester)

  • Horst 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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://repec.org/res2002/Schmidt_2.pdf
File Function: full text
Download Restriction: no

Bibliographic Info

Paper provided by Royal Economic Society in its series Royal Economic Society Annual Conference 2002 with number 162.

as in new window
Length:
Date of creation: 29 Aug 2002
Date of revision:
Handle: RePEc:ecj:ac2002:162

Contact details of provider:
Postal: Office of the Secretary-General, School of Economics and Finance, University of St. Andrews, St. Andrews, Fife, KY16 9AL, UK
Phone: +44 1334 462479
Email:
Web page: http://www.res.org.uk/society/annualconf.asp
More information through EDIRC

Related research

Keywords:

Other versions of this item:

This paper has been announced in the following NEP Reports:

References

No references listed on IDEAS
You can help add them by filling out this form.

Citations

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

Cited by:
  1. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
  2. Stefan Zeisberger & Thomas Langer & Martin Weber, 2012. "Why does myopia decrease the willingness to invest? Is it myopic loss aversion or myopic loss probability aversion?," Theory and Decision, Springer, vol. 72(1), pages 35-50, January.
  3. Lefebvre, Mathieu & Vieider, Ferdinand M., 2014. "Risk taking of executives under different incentive contracts: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 97(C), pages 27-36.
  4. Ulrich Schmidt & Horst Zank, 2005. "What is Loss Aversion?," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 157-167, January.
  5. 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.
  6. Stefan Zeisberger & Dennis Vrecko & Thomas Langer, 2012. "Measuring the time stability of Prospect Theory preferences," Theory and Decision, Springer, vol. 72(3), pages 359-386, March.
  7. Horst Zank, 2010. "On probabilities and loss aversion," Theory and Decision, Springer, vol. 68(3), pages 243-261, March.
  8. Ryan, Matthew J., 2006. "Risk aversion in RDEU," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 675-697, September.
  9. Mao-Wei Hung & Jr-Yan Wang, 2011. "Loss aversion and the term structure of interest rates," Applied Economics, Taylor & Francis Journals, vol. 43(29), pages 4623-4640.
  10. Peter Brooks & Simon Peters & Horst Zank, 2014. "Risk behavior for gain, loss, and mixed prospects," Theory and Decision, Springer, vol. 77(2), pages 153-182, August.
  11. Ulrich Schmidt & Horst Zank, 2007. "Linear cumulative prospect theory with applications to portfolio selection and insurance demand," Decisions in Economics and Finance, Springer, vol. 30(1), pages 1-18, 05.
  12. Ulrich Schmidt & Chris Starmer & Robert Sugden, 2008. "Third-generation prospect theory," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 203-223, June.
  13. Botzen, W.J.W. & van den Bergh, J.C.J.M., 2012. "Risk attitudes to low-probability climate change risks: WTP for flood insurance," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 151-166.
  14. Alexander Morell & Andreas Glöckner & Emanuel Towfigh, 2009. "Sticky Rebates: Rollback Rebates Induce Non-Rational Loyalty in Consumers," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2009_23, Max Planck Institute for Research on Collective Goods, revised Feb 2013.
  15. Jie Zhang & Ivan Paya & David Peel, 2010. "An Empirical Analysis of Choices Between Gambles of Children and Adults in China," Journal of Gambling Business and Economics, University of Buckingham Press, vol. 4(1), pages 1-18, March.
  16. Dierkes, Maik & Erner, Carsten & Zeisberger, Stefan, 2010. "Investment horizon and the attractiveness of investment strategies: A behavioral approach," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 1032-1046, May.
  17. Maier, Johannes & Rüger, Maximilian, 2010. "Measuring Risk Aversion Model-Independently," Discussion Papers in Economics 11873, University of Munich, Department of Economics.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:ecj:ac2002:162. 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: (Christopher F. Baum).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.