IDEAS home Printed from https://ideas.repec.org/p/exc/wpaper/2018-02.html
   My bibliography  Save this paper

The St. Petersburg Paradox Despite Risk-seeking Preferences: An Experimental Study

Author

Listed:
  • James C. Cox
  • Eike B. Kroll
  • Marcel Lichters
  • Vjollca Sadiraj
  • Bodo Vogt

Abstract

The St. Petersburg Paradox is one of the oldest challenges of expected value theory. Thus far, explanations of the paradox aim at small probabilities being perceived as zero and the boundedness of utility of the outcome. This paper provides experimental results showing that neither diminishing marginal utility of the outcome nor perception of small probabilities can explain the paradox. We find that even in situations where subjects are risk-seeking, and zeroing-out small probabilities supports risktaking, the St. Petersburg Paradox exists. This indicates that the paradox cannot be resolved by the arguments advanced to date.

Suggested Citation

  • James C. Cox & Eike B. Kroll & Marcel Lichters & Vjollca Sadiraj & Bodo Vogt, 2018. "The St. Petersburg Paradox Despite Risk-seeking Preferences: An Experimental Study," Experimental Economics Center Working Paper Series 2018-02, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
  • Handle: RePEc:exc:wpaper:2018-02
    as

    Download full text from publisher

    File URL: http://excen.gsu.edu/workingpapers/GSU_EXCEN_WP_2018-02.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Marcel Lichters & Paul Bengart & Marko Sarstedt & Bodo Vogt, 2017. "What really matters in attraction effect research: when choices have economic consequences," Marketing Letters, Springer, vol. 28(1), pages 127-138, March.
    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. Dilip Mookherjee & Ivan Png, 1989. "Optimal Auditing, Insurance, and Redistribution," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 399-415.
    4. 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.
    5. Charles A. Holt & Susan K. Laury, 2005. "Risk Aversion and Incentive Effects: New Data without Order Effects," American Economic Review, American Economic Association, vol. 95(3), pages 902-912, June.
    6. Samuelson, Paul A, 1977. "St. Petersburg Paradoxes: Defanged, Dissected, and Historically Described," Journal of Economic Literature, American Economic Association, vol. 15(1), pages 24-55, March.
    7. Tibor Neugebauer, 2010. "Moral Impossibility in the Petersburg Paradox : A Literature Survey and Experimental Evidence," LSF Research Working Paper Series 10-14, Luxembourg School of Finance, University of Luxembourg.
    8. Nathalie Etchart-Vincent & Olivier l’Haridon, 2011. "Monetary incentives in the loss domain and behavior toward risk: An experimental comparison of three reward schemes including real losses," Journal of Risk and Uncertainty, Springer, vol. 42(1), pages 61-83, February.
    9. Marc Rieger & Mei Wang, 2006. "Cumulative prospect theory and the St. Petersburg paradox," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 665-679, August.
    10. Shapley, Lloyd S., 1977. "The St. Petersburg paradox: A con games?," Journal of Economic Theory, Elsevier, vol. 14(2), pages 439-442, April.
    11. Mosi Rosenboim & Tal Shavit, 2012. "Whose money is it anyway? Using prepaid incentives in experimental economics to create a natural environment," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 145-157, March.
    12. 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.
    13. Pavlo R. Blavatskyy, 2005. "Back to the St. Petersburg Paradox?," Management Science, INFORMS, vol. 51(4), pages 677-678, April.
    14. Aumann, Robert J., 1977. "The St. Petersburg paradox: A discussion of some recent comments," Journal of Economic Theory, Elsevier, vol. 14(2), pages 443-445, April.
    15. Brito, D. L., 1975. "Becker's theory of the allocation of time and the St. Petersburg Paradox," Journal of Economic Theory, Elsevier, vol. 10(1), pages 123-126, February.
    16. Christian Seidl, 2013. "The St. Petersburg Paradox at 300," Journal of Risk and Uncertainty, Springer, vol. 46(3), pages 247-264, June.
    17. James C. Cox & Vjollca Sadiraj & Bodo Vogt, 2009. "On the empirical relevance of st. petersburg lotteries," Economics Bulletin, AccessEcon, vol. 29(1), pages 214-220.
    18. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    19. Thomas Åstebro & José Mata & Luís Santos-Pinto, 2015. "Skewness seeking: risk loving, optimism or overweighting of small probabilities?," Theory and Decision, Springer, vol. 78(2), pages 189-208, February.
    20. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    21. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    22. Mark Rubinstein, 2002. "Markowitz's “Portfolio Selection”: A Fifty‐Year Retrospective," Journal of Finance, American Finance Association, vol. 57(3), pages 1041-1045, June.
    23. Marcel Lichters & Marko Sarstedt & Bodo Vogt, 2015. "On the practical relevance of the attraction effect: A cautionary note and guidelines for context effect experiments," AMS Review, Springer;Academy of Marketing Science, vol. 5(1), pages 1-19, June.
    24. 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.
    25. Mohammed Abdellaoui & Emmanuel Kemel, 2014. "Eliciting Prospect Theory When Consequences Are Measured in Time Units: “Time Is Not Money”," Management Science, INFORMS, vol. 60(7), pages 1844-1859, July.
    26. Marc Oliver Rieger & Mei Wang & Thorsten Hens, 2015. "Risk Preferences Around the World," Management Science, INFORMS, vol. 61(3), pages 637-648, March.
    27. Marcel Lichters & Marko Sarstedt & Bodo Vogt, 2015. "On the practical relevance of the attraction effect: A cautionary note and guidelines for context effect experiments," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 5(1), pages 1-19, June.
    28. James C. Cox & Vjollca Sadiraj & Ulrich Schmidt, 2012. "Asymmetrically Dominated Choice Problems and Random Incentive Mechanisms," Experimental Economics Center Working Paper Series 2012-10, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University, revised Mar 2014.
    29. James C Cox & Vjollca Sadiraj & Ulrich Schmidt, 2014. "Asymmetrically Dominated Choice Problems, the Isolation Hypothesis and Random Incentive Mechanisms," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-3, March.
    30. Szekely, Gabor J. & Richards, Donald S.t.P., 2004. "The St. Petersburg Paradox and the Crash of High-Tech Stocks in 2000," The American Statistician, American Statistical Association, vol. 58, pages 225-231, August.
    31. David Durand, 1957. "Growth Stocks And The Petersburg Paradox," Journal of Finance, American Finance Association, vol. 12(3), pages 348-363, September.
    32. Henry S. Farber, 2008. "Reference-Dependent Preferences and Labor Supply: The Case of New York City Taxi Drivers," American Economic Review, American Economic Association, vol. 98(3), pages 1069-1082, June.
    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. Daniel Muller & Tshilidzi Marwala, 2019. "Relative Net Utility and the Saint Petersburg Paradox," Papers 1910.09544, arXiv.org, revised May 2020.
    2. Yukalov, V.I., 2021. "A resolution of St. Petersburg paradox," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    3. Jonathan Reese & Ana Sofia Santos & Tomás A. Palma & Magda Sofia Roberto, 2023. "Triggering competence may protect multiple minority members from hiring discrimination," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-14, December.

    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. Christian Seidl, 2013. "The St. Petersburg Paradox at 300," Journal of Risk and Uncertainty, Springer, vol. 46(3), pages 247-264, June.
    2. Daniel Muller & Tshilidzi Marwala, 2019. "Relative Net Utility and the Saint Petersburg Paradox," Papers 1910.09544, arXiv.org, revised May 2020.
    3. Bronshtein, E. & Fatkhiev, O., 2018. "A Note on St. Petersburg Paradox," Journal of the New Economic Association, New Economic Association, vol. 38(2), pages 48-53.
    4. Ulrich Schmidt & Christian Seidl, 2014. "Reconsidering the common ratio effect: the roles of compound independence, reduction, and coalescing," Theory and Decision, Springer, vol. 77(3), pages 323-339, October.
    5. James Cox & Vjollca Sadiraj & Ulrich Schmidt, 2015. "Paradoxes and mechanisms for choice under risk," Experimental Economics, Springer;Economic Science Association, vol. 18(2), pages 215-250, June.
    6. Yukalov, V.I., 2021. "A resolution of St. Petersburg paradox," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    7. Eike B. Kroll & Bodo Vogt, 2009. "The St. Petersburg Paradox despite risk-seeking preferences: An experimental study," FEMM Working Papers 09004, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    8. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, Elisabet E., 2014. "Dual criteria decisions," Journal of Economic Psychology, Elsevier, vol. 41(C), pages 101-113.
      • Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, Elisabet, 2009. "Dual Criteria Decisions," Working Papers 02-2009, Copenhagen Business School, Department of Economics.
    9. Ruggero Paladini, 2017. "Il paradosso di S. Pietroburgo, una rassegna," Public Finance Research Papers 29, Istituto di Economia e Finanza, DSGE, Sapienza University of Rome.
    10. 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.
    11. 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.
    12. Yaron Azrieli & Christopher P. Chambers & Paul J. Healy, 2018. "Incentives in Experiments: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1472-1503.
    13. 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).
    14. Alessandra Cillo & Marco Bonetti & Giovanni Burro & Clelia Di Serio & Roberta De Filippis & Riccardo Maria Martoni, 2019. "Neurocognitive assessment in obsessive compulsive disorder patients: Adherence to behavioral decision models," PLOS ONE, Public Library of Science, vol. 14(2), pages 1-16, February.
    15. 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.
    16. Tibor Neugebauer, 2010. "Moral Impossibility in the Petersburg Paradox : A Literature Survey and Experimental Evidence," LSF Research Working Paper Series 10-14, Luxembourg School of Finance, University of Luxembourg.
    17. Johannes G. Jaspersen, 2016. "Hypothetical Surveys And Experimental Studies Of Insurance Demand: A Review," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(1), pages 217-255, January.
    18. Marc Scholten & Daniel Read, 2014. "Prospect theory and the “forgotten” fourfold pattern of risk preferences," Journal of Risk and Uncertainty, Springer, vol. 48(1), pages 67-83, February.
    19. Christoph Bühren & Thorben C. Kundt, 2013. "Worker or Shirker – Who Evades More Taxes? A Real Effort Experiment," MAGKS Papers on Economics 201326, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    20. Basieva, Irina & Khrennikova, Polina & Pothos, Emmanuel M. & Asano, Masanari & Khrennikov, Andrei, 2018. "Quantum-like model of subjective expected utility," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 150-162.

    More about this item

    Keywords

    expected utility; risk preferences; gains; losses; St. Petersburg;
    All these keywords.

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:exc:wpaper:2018-02. 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: J. Todd Swarthout (email available below). General contact details of provider: https://edirc.repec.org/data/exgsuus.html .

    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.