IDEAS home Printed from https://ideas.repec.org/a/taf/applec/v40y2008i1p17-26.html
   My bibliography  Save this article

The Markowitz model of utility supplemented with a small degree of probability distortion as an explanation of outcomes of Allais experiments over large and small payoffs and gambling on unlikely outcomes

Author

Listed:
  • D. A. Peel
  • Jie Zhang
  • D. Law

Abstract

We show that in principal only a small degree of probability distortion is necessary for agents to exhibit the Allais paradox. We also show that the choices observed in the Allais experiments employing small real payoffs cannot be explained by Cumulative Prospect Theory without the assumption of low degrees of probability distortion that rule out gambling at unfair odds on all but the most extreme longshots in CPT. Given these points we show that the Markowitz model of utility supplemented by a small degree of probability distortion can explain the majority choices involved Allais experiments and other experiments as well as gambling at actuarially unfair odds.

Suggested Citation

  • D. A. Peel & Jie Zhang & D. Law, 2008. "The Markowitz model of utility supplemented with a small degree of probability distortion as an explanation of outcomes of Allais experiments over large and small payoffs and gambling on unlikely outc," Applied Economics, Taylor & Francis Journals, vol. 40(1), pages 17-26.
    • Handle: RePEc:taf:applec:v:40:y:2008:i:1:p:17-26
    DOI: 10.1080/00036840701728781
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/00036840701728781
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00036840701728781?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. Michael Cain & David Law & David A. Peel, 2001. "The Incidence of Insider Trading in Betting Markets and the Gabriel and Marsden Anomaly," Manchester School, University of Manchester, vol. 69(2), pages 197-207, March.
    2. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    3. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    4. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    5. Kachelmeier, Steven J & Shehata, Mohamed, 1992. "Examining Risk Preferences under High Monetary Incentives: Experimental Evidence from the People's Republic of China," American Economic Review, American Economic Association, vol. 82(5), pages 1120-1141, December.
    6. Harrison, Glenn W, 1994. "Expected Utility Theory and the Experimentalists," Empirical Economics, Springer, vol. 19(2), pages 223-253.
    7. Kagel, John H & MacDonald, Don N & Battalio, Raymond C, 1990. "Tests of "Fanning Out" of Indifference Curves: Results from Animal and Human Experiments," American Economic Review, American Economic Association, vol. 80(4), pages 912-921, September.
    8. Atanu Saha, 1993. "Expo-Power Utility: A ‘Flexible’ Form for Absolute and Relative Risk Aversion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(4), pages 905-913.
    9. Starmer, Chris & Sugden, Robert, 1989. "Probability and Juxtaposition Effects: An Experimental Investigation of the Common Ratio Effect," Journal of Risk and Uncertainty, Springer, vol. 2(2), pages 159-178, June.
    10. Ballinger, T Parker & Wilcox, Nathaniel T, 1997. "Decisions, Error and Heterogeneity," Economic Journal, Royal Economic Society, vol. 107(443), pages 1090-1105, July.
    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. Niko Suhonen & Jani Saastamoinen & Mika Linden, 2018. "A dual theory approach to estimating risk preferences in the parimutuel betting market," Empirical Economics, Springer, vol. 54(3), pages 1335-1351, May.

    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. 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.
    2. E. Elisabet Rutstrom & Glenn W. Harrison & Morten I. Lau, 2004. "Estimating Risk Attitudes in Denmark," Econometric Society 2004 Australasian Meetings 201, Econometric Society.
    3. Wilcox, Nathaniel T., 2011. "'Stochastically more risk averse:' A contextual theory of stochastic discrete choice under risk," Journal of Econometrics, Elsevier, vol. 162(1), pages 89-104, May.
    4. Jinkwon Lee, 2007. "Repetition And Financial Incentives In Economics Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 21(3), pages 628-681, July.
    5. Pavlo Blavatskyy & Valentyn Panchenko & Andreas Ortmann, 2023. "How common is the common-ratio effect?," Experimental Economics, Springer;Economic Science Association, vol. 26(2), pages 253-272, April.
    6. de Castro, Luciano & Galvao, Antonio F. & Noussair, Charles N. & Qiao, Liang, 2022. "Do people maximize quantiles?," Games and Economic Behavior, Elsevier, vol. 132(C), pages 22-40.
    7. Georgalos, Konstantinos & Paya, Ivan & Peel, David A., 2021. "On the contribution of the Markowitz model of utility to explain risky choice in experimental research," Journal of Economic Behavior & Organization, Elsevier, vol. 182(C), pages 527-543.
    8. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, E. Elisabet, 2010. "Preference heterogeneity in experiments: Comparing the field and laboratory," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 209-224, February.
    9. Peter Wakker & Veronika Köbberling & Christiane Schwieren, 2007. "Prospect-theory’s Diminishing Sensitivity Versus Economics’ Intrinsic Utility of Money: How the Introduction of the Euro can be Used to Disentangle the Two Empirically," Theory and Decision, Springer, vol. 63(3), pages 205-231, November.
    10. James Andreoni & Charles Sprenger, 2010. "Certain and Uncertain Utility: The Allais Paradox and Five Decision Theory Phenomena," Levine's Working Paper Archive 814577000000000447, David K. Levine.
    11. Moshe Levy, 2022. "An evolutionary explanation of the Allais paradox," Journal of Evolutionary Economics, Springer, vol. 32(5), pages 1545-1574, November.
    12. Stephen L. Cheung, 2020. "Eliciting utility curvature in time preference," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 493-525, June.
    13. Koch, Christopher & Schunk, Daniel, 2007. "The Case for Limited Auditor Liability - The Effects of Liability Size on Risk Aversion and Ambiguity Aversion," Sonderforschungsbereich 504 Publications 07-04, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    14. Aleksandr Alekseev, 2022. "Give me a challenge or give me a raise," Experimental Economics, Springer;Economic Science Association, vol. 25(1), pages 170-202, February.
    15. 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.
    16. Benjamin L. Collier & Daniel Schwartz & Howard C. Kunreuther & Erwann O. Michel-Kerjan, 2017. "Risk Preferences in Small and Large Stakes: Evidence from Insurance Contract Decisions," NBER Working Papers 23579, National Bureau of Economic Research, Inc.
    17. Glenn W. Harrison & John A. List, 2004. "Field Experiments," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1009-1055, December.
    18. Glenn W. Harrison & Jia Min Ng, 2019. "Behavioral insurance and economic theory: A literature review," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 22(2), pages 133-182, July.
    19. William S. Neilson, 1993. "An Expected Utility-User's Guide to Nonexpected Utility Experiments," Eastern Economic Journal, Eastern Economic Association, vol. 19(3), pages 257-274, Summer.
    20. Alma Cohen & Liran Einav, 2007. "Estimating Risk Preferences from Deductible Choice," American Economic Review, American Economic Association, vol. 97(3), pages 745-788, June.

    More about this item

    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:taf:applec:v:40:y:2008:i:1:p:17-26. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEC20 .

    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.