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Problems of utility and prospect theories. A ”certain-uncertain” inconsistency of the random-lottery incentive system

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  • Harin, Alexander

Abstract

Three main groups of results have been obtained: 1) The question is emphasized whether the probability weighting function W(p) is continuous. If W(p) reveals a discontinuity at p=1, then this is a topological feature. This can qualitatively change (at least) the mathematical aspects of the utility and prospect theories. This is supported by a number of the evidences of the qualitative difference between subjects’ treatments of the probabilities of probable and certain outcomes. 2) Purely mathematical theorems prove (under several conditions) that if the dispersion of data (the noise) is non-zero, then the non-zero discontinuity take place at the probability p=1. 3) In the prevailing random-lottery incentive system of the experiments of the utility and prospect theories, the choices of certain outcomes are stimulated by uncertain lotteries. Because of this evident “certain-uncertain” inconsistency, the deductions from the random-lottery incentive experiments, those include the certain outcomes, cannot be unquestionably correct. The experiment of Starmer and Sugden (1991) evidently supports this consideration.

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  • Harin, Alexander, 2014. "Problems of utility and prospect theories. A ”certain-uncertain” inconsistency of the random-lottery incentive system," MPRA Paper 55706, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:55706
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    References listed on IDEAS

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    1. Mark McCord & Richard de Neufville, 1986. ""Lottery Equivalents": Reduction of the Certainty Effect Problem in Utility Assessment," Management Science, INFORMS, vol. 32(1), pages 56-60, January.
    2. Christian A. Vossler & Maurice Doyon & Daniel Rondeau, 2012. "Truth in Consequentiality: Theory and Field Evidence on Discrete Choice Experiments," American Economic Journal: Microeconomics, American Economic Association, vol. 4(4), pages 145-171, November.
    3. Uri Gneezy & John A. List & George Wu, 2006. "The Uncertainty Effect: When a Risky Prospect is Valued Less than its Worst Possible Outcome," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1283-1309.
    4. Kenneth Y. Chay & Patrick J. McEwan & Miguel Urquiola, 2005. "The Central Role of Noise in Evaluating Interventions That Use Test Scores to Rank Schools," American Economic Review, American Economic Association, vol. 95(4), pages 1237-1258, September.
    5. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2012. "Salience Theory of Choice Under Risk," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1243-1285.
    6. 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.
    7. William T. Harbaugh & Kate Krause & Timothy R. Berry, 2001. "GARP for Kids: On the Development of Rational Choice Behavior," American Economic Review, American Economic Association, vol. 91(5), pages 1539-1545, December.
    8. Daniel Kahneman & Jack L. Knetsch & Richard H. Thaler, 1991. "Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 193-206, Winter.
    9. Ian Larkin & Stephen Leider, 2012. "Incentive Schemes, Sorting, and Behavioral Biases of Employees: Experimental Evidence," American Economic Journal: Microeconomics, American Economic Association, vol. 4(2), pages 184-214, May.
    10. Daniel Kahneman & Richard H. Thaler, 2006. "Anomalies: Utility Maximization and Experienced Utility," Journal of Economic Perspectives, American Economic Association, vol. 20(1), pages 221-234, Winter.
    11. David J. Butler & Graham C. Loomes, 2007. "Imprecision as an Account of the Preference Reversal Phenomenon," American Economic Review, American Economic Association, vol. 97(1), pages 277-297, March.
    12. Alexander Harin, 2010. "The theorem of existence of ruptures in the probability scale," Economics Bulletin, AccessEcon, vol. 30(2), pages 1-16.
    13. Alexander Harin, 2012. "Data Dispersion in Economics (I) - Possibility of Restrictions," Review of Economics & Finance, Better Advances Press, Canada, vol. 2, pages 59-70, August.
    14. Alexander Harin, 2013. "Data dispersion near the boundaries: can it partially explain the problems of decision and utility theories?," Working Papers hal-00851022, HAL.
    15. Yoram Halevy, 2008. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect," American Economic Review, American Economic Association, vol. 98(3), pages 1145-1162, June.
    16. Schoemaker, Paul J. H. & Hershey, John C., 1992. "Utility measurement: Signal, noise, and bias," Organizational Behavior and Human Decision Processes, Elsevier, vol. 52(3), pages 397-424, August.
    17. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    18. Starmer, Chris & Sugden, Robert, 1991. "Does the Random-Lottery Incentive System Elicit True Preferences? An Experimental Investigation," American Economic Review, American Economic Association, vol. 81(4), pages 971-978, September.
    19. Loewenstein, George & Thaler, Richard H, 1989. "Intertemporal Choice," Journal of Economic Perspectives, American Economic Association, vol. 3(4), pages 181-193, Fall.
    20. Tversky, Amos & Thaler, Richard H, 1990. "Anomalies: Preference Reversals," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 201-211, Spring.
    21. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    22. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    23. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-1280, November.
    24. Glenn W. Harrison & Eric Johnson & Melayne M. McInnes & E. Elisabet Rutström, 2005. "Risk Aversion and Incentive Effects: Comment," American Economic Review, American Economic Association, vol. 95(3), pages 897-901, June.
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    More about this item

    Keywords

    utility; prospect theory; experiment; incentive; random-lottery incentive system; Prelec; probability weighting function;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C9 - Mathematical and Quantitative Methods - - Design of Experiments
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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