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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
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    File URL: http://excen.gsu.edu/workingpapers/GSU_EXCEN_WP_2018-02.pdf
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    References listed on IDEAS

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    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. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    3. 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.
    4. Mark Rubinstein, 2002. "Markowitz's “Portfolio Selection”: A Fifty‐Year Retrospective," Journal of Finance, American Finance Association, vol. 57(3), pages 1041-1045, June.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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..
    14. 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.
    15. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    16. Marc Oliver Rieger & Mei Wang & Thorsten Hens, 2015. "Risk Preferences Around the World," Management Science, INFORMS, vol. 61(3), pages 637-648, March.
    17. 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.
    18. 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.
    19. Shapley, Lloyd S., 1977. "The St. Petersburg paradox: A con games?," Journal of Economic Theory, Elsevier, vol. 14(2), pages 439-442, April.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. Pavlo R. Blavatskyy, 2005. "Back to the St. Petersburg Paradox?," Management Science, INFORMS, vol. 51(4), pages 677-678, April.
    26. 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.
    27. David Durand, 1957. "Growth Stocks And The Petersburg Paradox," Journal of Finance, American Finance Association, vol. 12(3), pages 348-363, September.
    28. 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.
    29. Christian Seidl, 2013. "The St. Petersburg Paradox at 300," Journal of Risk and Uncertainty, Springer, vol. 46(3), pages 247-264, June.
    30. 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.
    31. 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.
    32. 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.
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    3. Daniel Muller & Tshilidzi Marwala, 2019. "Relative Net Utility and the Saint Petersburg Paradox," Papers 1910.09544, arXiv.org, revised May 2020.

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    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

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