IDEAS home Printed from https://ideas.repec.org/a/pal/genrir/v42y2017i1d10.1057_s10713-016-0017-9.html
   My bibliography  Save this article

Very Low Probabilities in the Loss Domain

Author

Listed:
  • Narges Hajimoladarvish

    (University of Leicester
    Alzahra University)

Abstract

This experimental study uses a non-parametric method to investigate probability weighting functions for very low probabilities in the loss domain. Probability weights in three loss situations containing small, large and heterogeneous losses composed of both small and large losses are elicited. While most of the probabilities under consideration are significantly overweighted, the probability weighting function exhibits the much replicated inverse S-shaped functions when losses are small. Interestingly, the more common probabilities, 0.1 and 0.01, get underweighted by more than half of the sample in small and heterogeneous loss situations, respectively. Probability underweighting is accompanied by risk-loving behaviour that can have implications for design of contracts and policies designed to control risky behaviours.

Suggested Citation

  • Narges Hajimoladarvish, 2017. "Very Low Probabilities in the Loss Domain," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(1), pages 41-58, March.
  • Handle: RePEc:pal:genrir:v:42:y:2017:i:1:d:10.1057_s10713-016-0017-9
    DOI: 10.1057/s10713-016-0017-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/s10713-016-0017-9
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1057/s10713-016-0017-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mohammed Abdellaoui & Frank Vossmann & Martin Weber, 2005. "Choice-Based Elicitation and Decomposition of Decision Weights for Gains and Losses Under Uncertainty," Management Science, INFORMS, vol. 51(9), pages 1384-1399, September.
    2. Camerer, Colin F & Hogarth, Robin M, 1999. "The Effects of Financial Incentives in Experiments: A Review and Capital-Labor-Production Framework," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 7-42, December.
    3. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    4. Han Bleichrodt & Jose Luis Pinto, 2000. "A Parameter-Free Elicitation of the Probability Weighting Function in Medical Decision Analysis," Management Science, INFORMS, vol. 46(11), pages 1485-1496, November.
    5. Keasey, Kevin & Moon, Philip, 1996. "Gambling with the house money in capital expenditure decisions: An experimental analysis," Economics Letters, Elsevier, vol. 50(1), pages 105-110, January.
    6. Peter Wakker & Daniel Deneffe, 1996. "Eliciting von Neumann-Morgenstern Utilities When Probabilities Are Distorted or Unknown," Management Science, INFORMS, vol. 42(8), pages 1131-1150, August.
    7. Helga Fehr-Duda & Thomas Epper, 2012. "Probability and Risk: Foundations and Economic Implications of Probability-Dependent Risk Preferences," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 567-593, July.
    8. Richard H. Thaler & Eric J. Johnson, 1990. "Gambling with the House Money and Trying to Break Even: The Effects of Prior Outcomes on Risky Choice," Management Science, INFORMS, vol. 36(6), pages 643-660, June.
    9. Helga Fehr-Duda & Adrian Bruhin & Thomas Epper & Renate Schubert, 2010. "Rationality on the rise: Why relative risk aversion increases with stake size," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 147-180, April.
    10. William Harbaugh & Kate Krause & Lise Vesterlund, 2002. "Risk Attitudes of Children and Adults: Choices Over Small and Large Probability Gains and Losses," Experimental Economics, Springer;Economic Science Association, vol. 5(1), pages 53-84, June.
    11. Froot, Kenneth A., 2001. "The market for catastrophe risk: a clinical examination," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 529-571, May.
    12. Imran S. Currim & Rakesh K. Sarin, 1989. "Prospect Versus Utility," Management Science, INFORMS, vol. 35(1), pages 22-41, January.
    13. Nathalie Etchart-Vincent, 2004. "Is Probability Weighting Sensitive to the Magnitude of Consequences? An Experimental Investigation on Losses," Journal of Risk and Uncertainty, Springer, vol. 28(3), pages 217-235, May.
    14. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    15. Alarie, Yves & Dionne, Georges, 2001. "Lottery Decisions and Probability Weighting Function," Journal of Risk and Uncertainty, Springer, vol. 22(1), pages 21-33, January.
    16. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    17. Nathalie Etchart-Vincent, 2009. "Probability weighting and the ‘level’ and ‘spacing’ of outcomes: An experimental study over losses," Journal of Risk and Uncertainty, Springer, vol. 39(1), pages 45-63, August.
    18. Carolyn Kousky & Roger Cooke, 2012. "Explaining the Failure to Insure Catastrophic Risks," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 37(2), pages 206-227, April.
    19. Bar-Ilan, Avner & Sacerdote, Bruce, 2004. "The Response of Criminals and Noncriminals to Fines," Journal of Law and Economics, University of Chicago Press, vol. 47(1), pages 1-17, April.
    20. Humphrey, Steven J. & Verschoor, Arjan, 2004. "The probability weighting function: experimental evidence from Uganda, India and Ethiopia," Economics Letters, Elsevier, vol. 84(3), pages 419-425, September.
    21. Camerer, Colin F, 1989. "An Experimental Test of Several Generalized Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 2(1), pages 61-104, April.
    22. Helga Fehr-Duda & Manuele Gennaro & Renate Schubert, 2006. "Gender, Financial Risk, and Probability Weights," Theory and Decision, Springer, vol. 60(2), pages 283-313, May.
    23. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Kpegli, Yao Thibaut & Corgnet, Brice & Zylbersztejn, Adam, 2023. "All at once! A comprehensive and tractable semi-parametric method to elicit prospect theory components," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    2. Yao Thibaut Kpegli, 2023. "Smoothing Spline Method for Measuring Prospect Theory Components," Working Papers 2303, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Narges Hajimoladarvish, 2017. "Very Low Probabilities in the Loss Domain," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(1), pages 41-58, March.
    2. Nathalie Etchart-Vincent, 2009. "Probability weighting and the ‘level’ and ‘spacing’ of outcomes: An experimental study over losses," Journal of Risk and Uncertainty, Springer, vol. 39(1), pages 45-63, August.
    3. Adam Booij & Bernard Praag & Gijs Kuilen, 2010. "A parametric analysis of prospect theory’s functionals for the general population," Theory and Decision, Springer, vol. 68(1), pages 115-148, February.
    4. Peter Brooks & Horst Zank, 2005. "Loss Averse Behavior," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 301-325, December.
    5. Arjan Verschoor & Ben D’Exelle, 2022. "Probability weighting for losses and for gains among smallholder farmers in Uganda," Theory and Decision, Springer, vol. 92(1), pages 223-258, February.
    6. Kpegli, Yao Thibaut & Corgnet, Brice & Zylbersztejn, Adam, 2023. "All at once! A comprehensive and tractable semi-parametric method to elicit prospect theory components," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    7. George Wu & Alex B. Markle, 2008. "An Empirical Test of Gain-Loss Separability in Prospect Theory," Management Science, INFORMS, vol. 54(7), pages 1322-1335, July.
    8. Bosch-Domènech, Antoni & Silvestre, Joaquim, 2010. "Averting risk in the face of large losses: Bernoulli vs. Tversky and Kahneman," Economics Letters, Elsevier, vol. 107(2), pages 180-182, May.
    9. Booij, Adam S. & van de Kuilen, Gijs, 2009. "A parameter-free analysis of the utility of money for the general population under prospect theory," Journal of Economic Psychology, Elsevier, vol. 30(4), pages 651-666, August.
    10. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
    11. Mohammed Abdellaoui & Han Bleichrodt & Corina Paraschiv, 2007. "Loss Aversion Under Prospect Theory: A Parameter-Free Measurement," Management Science, INFORMS, vol. 53(10), pages 1659-1674, October.
    12. Victor H. Gonzalez-Jimenez, 2019. "Contracting Probability Distortions," Vienna Economics Papers vie1901, University of Vienna, Department of Economics.
    13. Horst Zank, 2010. "On probabilities and loss aversion," Theory and Decision, Springer, vol. 68(3), pages 243-261, March.
    14. Victor H. Gonzalez-Jimenez, 2019. "Contracting Probability Distortions," Vienna Economics Papers 1901, University of Vienna, Department of Economics.
    15. Nathalie Etchart-Vincent, 2009. "The shape of the utility function under risk in the loss domain and the "ruinous losses" hypothesis: some experimental results," Economics Bulletin, AccessEcon, vol. 29(2), pages 1393-1402.
    16. Ilke Aydogan & Yu Gao, 2020. "Experience and rationality under risk: re-examining the impact of sampling experience," Experimental Economics, Springer;Economic Science Association, vol. 23(4), pages 1100-1128, December.
    17. Mattos, Fabio & Garcia, Philip & Pennings, Joost M.E., 2008. "Probability weighting and loss aversion in futures hedging," Journal of Financial Markets, Elsevier, vol. 11(4), pages 433-452, November.
    18. Olivier Chanel & Graciela Chichilnisky, 2009. "The influence of fear in decisions: Experimental evidence," Journal of Risk and Uncertainty, Springer, vol. 39(3), pages 271-298, December.
    19. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
    20. Víctor González-Jiménez, 2021. "Incentive contracts when agents distort probabilities," Vienna Economics Papers vie2101, University of Vienna, Department of Economics.

    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:pal:genrir:v:42:y:2017:i:1:d:10.1057_s10713-016-0017-9. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.