IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v162y2019icp106-119.html
   My bibliography  Save this article

Estimating parametric loss aversion with prospect theory: Recognising and dealing with size dependence

Author

Listed:
  • Balcombe, Kelvin
  • Bardsley, Nicholas
  • Dadzie, Sam
  • Fraser, Iain

Abstract

Parameteric identification of loss aversion requires either the imposition of rotational symmetry on the utility function or a point dependent normalization condition. In this paper, we propose a new approach in which point dependence is reduced by integration over normalization points. To illustrate our approach, we consider a sample of Ghanaian farmers’ risk preferences over the gain, loss and mixed domains. Using Bayesian econometric methods, we find support for Prospect Theory albeit with substantial behavioral variation across individuals plus mild overweighting of losses compared to gains. We also show that the majority of respondents are mildly loss averse especially as the size of the payoffs increase.

Suggested Citation

  • Balcombe, Kelvin & Bardsley, Nicholas & Dadzie, Sam & Fraser, Iain, 2019. "Estimating parametric loss aversion with prospect theory: Recognising and dealing with size dependence," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 106-119.
    • Handle: RePEc:eee:jeborg:v:162:y:2019:i:c:p:106-119
    DOI: 10.1016/j.jebo.2019.04.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167268119301209
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jebo.2019.04.017?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. 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.
    2. Kelvin Balcombe & Iain Fraser, 2015. "Parametric preference functionals under risk in the gain domain: A Bayesian analysis," Journal of Risk and Uncertainty, Springer, vol. 50(2), pages 161-187, April.
    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. 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.
    5. Chateauneuf, Alain & Wakker, Peter, 1999. "An Axiomatization of Cumulative Prospect Theory for Decision under Risk," Journal of Risk and Uncertainty, Springer, vol. 18(2), pages 137-145, August.
    6. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, Elisabet E., 2010. "Behavioral econometrics for psychologists," Journal of Economic Psychology, Elsevier, vol. 31(4), pages 553-576, August.
    7. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344, December.
    8. Henry Stott, 2006. "Cumulative prospect theory's functional menagerie," Journal of Risk and Uncertainty, Springer, vol. 32(2), pages 101-130, March.
    9. Tomomi Tanaka & Colin F. Camerer & Quang Nguyen, 2010. "Risk and Time Preferences: Linking Experimental and Household Survey Data from Vietnam," American Economic Review, American Economic Association, vol. 100(1), pages 557-571, March.
    10. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, January.
    11. Glenn W. Harrison & J. Todd Swarthout, 2016. "Cumulative Prospect Theory in the Laboratory: A Reconsideration," Experimental Economics Center Working Paper Series 2016-04, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    12. Glenn Harrison & E. Rutström, 2009. "Expected utility theory and prospect theory: one wedding and a decent funeral," Experimental Economics, Springer;Economic Science Association, vol. 12(2), pages 133-158, June.
    13. Horst Zank, 2010. "On probabilities and loss aversion," Theory and Decision, Springer, vol. 68(3), pages 243-261, March.
    14. Quang Nguyen & Colin Camerer & Tomomi Tanaka, 2010. "Risk and Time Preferences Linking Experimental and Household Data from Vietnam," Post-Print halshs-00547090, HAL.
    15. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344.
    16. Patrick S. Ward & Vartika Singh, 2015. "Using Field Experiments to Elicit Risk and Ambiguity Preferences: Behavioural Factors and the Adoption of New Agricultural Technologies in Rural India," Journal of Development Studies, Taylor & Francis Journals, vol. 51(6), pages 707-724, June.
    17. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    18. repec:cup:judgdm:v:8:y:2013:i:3:p:214-235 is not listed on IDEAS
    19. Liu, Elaine M. & Huang, JiKun, 2013. "Risk preferences and pesticide use by cotton farmers in China," Journal of Development Economics, Elsevier, vol. 103(C), pages 202-215.
    20. Liu, Elaine M. & Huang, JiKun, 2013. "Risk preferences and pesticide use by cotton farmers in China," Journal of Development Economics, Elsevier, vol. 103(C), pages 202-215.
    21. Wakker, Peter & Tversky, Amos, 1993. "An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-175, October.
    22. Schmidt, Ulrich & Traub, Stefan, 2002. "An Experimental Test of Loss Aversion," Journal of Risk and Uncertainty, Springer, vol. 25(3), pages 233-249, 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. Toritseju Begho & Kelvin Balcombe, 2023. "Attitudes to Risk and Uncertainty: New Insights From an Experiment Using Interval Prospects," SAGE Open, , vol. 13(3), pages 21582440231, July.
    2. Otto, Philipp E. & Schmidt, Lennard, 2021. "Reservation price uncertainty: Loss, virtue, or emotional heterogeneity?," Journal of Economic Psychology, Elsevier, vol. 87(C).
    3. Liu, Zhenya & Zhan, Yaosong, 2022. "Investor behavior and filter rule revisiting," Journal of Behavioral and Experimental Finance, Elsevier, vol. 33(C).
    4. Balcombe, Kelvin & Fraser, Iain, 2024. "A Note on an Alternative Approach to Experimental Design of Lottery Prospects," MPRA Paper 119743, University Library of Munich, Germany.
    5. Lei Chen & Ying-Ming Wang & Yan Huang, 2020. "Cross-efficiency aggregation method based on prospect consensus process," Annals of Operations Research, Springer, vol. 288(1), pages 115-135, May.
    6. Johannes G. Jaspersen & Marc A. Ragin & Justin R. Sydnor, 2019. "Predicting Insurance Demand from Risk Attitudes," NBER Working Papers 26508, National Bureau of Economic Research, Inc.
    7. Florian Horky, 2024. "SMEs’ Perceptions of Availability of External Finance," Working and Discussion Papers WP 11/2024, Research Department, National Bank of Slovakia.
    8. Johannes G. Jaspersen & Marc A. Ragin & Justin R. Sydnor, 2022. "Predicting insurance demand from risk attitudes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 63-96, March.
    9. Nilanjan Dutta & Arshinder Kaur, 2023. "Enabling socially responsible operations: A decision-making model for a firm contracting with decision-biased smallholders," Annals of Operations Research, Springer, vol. 320(1), pages 509-533, January.

    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. Ferdinand M. Vieider & Peter Martinsson & Pham Khanh Nam & Nghi Truong, 2019. "Risk preferences and development revisited," Theory and Decision, Springer, vol. 86(1), pages 1-21, February.
    2. 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.
    3. 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).
    4. 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.
    5. Ranoua Bouchouicha & Lachlan Deer & Ashraf Galal Eid & Peter McGee & Daniel Schoch & Hrvoje Stojic & Jolanda Ygosse-Battisti & Ferdinand M. Vieider, 2019. "Gender effects for loss aversion: Yes, no, maybe?," Journal of Risk and Uncertainty, Springer, vol. 59(2), pages 171-184, October.
    6. Peon, David & Calvo, Anxo & Antelo, Manel, 2014. "A short-but-efficient test for overconfidence and prospect theory. Experimental validation," MPRA Paper 54135, University Library of Munich, Germany.
    7. Géraldine Bocquého & Julien Jacob & Marielle Brunette, 2023. "Prospect theory in multiple price list experiments: further insights on behaviour in the loss domain," Theory and Decision, Springer, vol. 94(4), pages 593-636, May.
    8. Balcombe, Kelvin & Fraser, Iain, 2024. "A Note on an Alternative Approach to Experimental Design of Lottery Prospects," MPRA Paper 119743, University Library of Munich, Germany.
    9. Glenn W. Harrison & J. Todd Swarthout, 2016. "Cumulative Prospect Theory in the Laboratory: A Reconsideration," Experimental Economics Center Working Paper Series 2016-04, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    10. Ferdinand M. Vieider & Clara Villegas-Palacio & Peter Martinsson & Milagros Mejía, 2016. "Risk Taking For Oneself And Others: A Structural Model Approach," Economic Inquiry, Western Economic Association International, vol. 54(2), pages 879-894, April.
    11. Freudenreich, Hanna & Musshoff, Oliver, 2022. "Experience of losses and aversion to uncertainty - experimental evidence from farmers in Mexico," Ecological Economics, Elsevier, vol. 195(C).
    12. Golo-Friedrich Bauermeister & Daniel Hermann & Oliver Musshoff, 2018. "Consistency of determined risk attitudes and probability weightings across different elicitation methods," Theory and Decision, Springer, vol. 84(4), pages 627-644, June.
    13. Julia Ihli, Hanna & Chiputwa, Brian & Winter, Etti & Gassner, Anja, 2022. "Risk and time preferences for participating in forest landscape restoration: The case of coffee farmers in Uganda," World Development, Elsevier, vol. 150(C).
    14. Laurent Denant-Boemont & Olivier L’Haridon, 2013. "La rationalité à l'épreuve de l'économie comportementale," Revue française d'économie, Presses de Sciences-Po, vol. 0(2), pages 35-89.
    15. Shuoli Zhao & Chengyan Yue, 2020. "Risk preferences of commodity crop producers and specialty crop producers: An application of prospect theory," Agricultural Economics, International Association of Agricultural Economists, vol. 51(3), pages 359-372, May.
    16. repec:cup:judgdm:v:8:y:2013:i:3:p:214-235 is not listed on IDEAS
    17. Liebenehm, S. & Waibel, H., 2014. "Risk and Time Preferences of West African Cattle Farmers," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 49, March.
    18. Géraldine Bocquého & Julien Jacob & Marielle Brunette, 2020. "Prospect theory in experiments : behaviour in loss domain and framing effects," Working Papers hal-02987294, HAL.
    19. Lobel, Robert Eugene & Klotzle, Marcelo Cabus & Silva, Paulo Vitor Jordão da Gama & Pinto, Antonio Carlos Figueiredo, 2017. "Teoria do prospecto: Uma análise paramétrica de formas funcionais no Brasil," RAE - Revista de Administração de Empresas, FGV-EAESP Escola de Administração de Empresas de São Paulo (Brazil), vol. 57(5), October.
    20. Eyal Ert & Ido Erev, 2013. "On the descriptive value of loss aversion in decisions under risk: Six clarifications," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 8(3), pages 214-235, May.
    21. Liebenehm, Sabine & Waibel, Hermann, 2013. "Risk and Time Preferences of West African Cattle Farmers," 53rd Annual Conference, Berlin, Germany, September 25-27, 2013 156110, German Association of Agricultural Economists (GEWISOLA).

    More about this item

    Keywords

    Prospect theory; Loss aversion; Hierachical Bayes methods;
    All these keywords.

    JEL classification:

    • C93 - Mathematical and Quantitative Methods - - Design of Experiments - - - Field Experiments
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • Q16 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - R&D; Agricultural Technology; Biofuels; Agricultural Extension Services

    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:eee:jeborg:v:162:y:2019:i:c:p:106-119. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jebo .

    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.