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Second-best probability weighting

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  • Herold, Florian
  • Netzer, Nick

Abstract

Non-linear probability weighting is an integral part of descriptive theories of choice under risk such as prospect theory. But why do these objective errors in information processing exist? Should we try to help individuals overcome their mistake of overweighting small and underweighting large probabilities? In this paper, we argue that probability weighting can be seen as a compensation for preexisting biases in evaluating payoffs. In particular, inverse S-shaped probability weighting is a flipside of S-shaped payoff valuation. Probability distortions may thus have survived as a second-best solution to a fitness maximization problem, and it can be counter-productive to correct them while keeping the value function unchanged.

Suggested Citation

  • Herold, Florian & Netzer, Nick, 2023. "Second-best probability weighting," Games and Economic Behavior, Elsevier, vol. 138(C), pages 112-125.
    • Handle: RePEc:eee:gamebe:v:138:y:2023:i:c:p:112-125
    DOI: 10.1016/j.geb.2022.12.005
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    as
    1. Benjamin Enke & Thomas W. Graeber, 2021. "Cognitive Uncertainty in Intertemporal Choice," CESifo Working Paper Series 9472, CESifo.
    2. Juan D. Carrillo & Thomas Mariotti, 2000. "Strategic Ignorance as a Self-Disciplining Device," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 529-544.
    3. Arthur J. Robson & Larry Samuelson, 2009. "The Evolution of Time Preference with Aggregate Uncertainty," American Economic Review, American Economic Association, vol. 99(5), pages 1925-1953, December.
    4. Zhang, Hanzhe, 2013. "Evolutionary justifications for non-Bayesian beliefs," Economics Letters, Elsevier, vol. 121(2), pages 198-201.
    5. Gregory Besharov, 2004. "Second-Best Considerations in Correcting Cognitive Biases," Southern Economic Journal, John Wiley & Sons, vol. 71(1), pages 12-20, July.
    6. Daniel Kahneman & Dan Lovallo, 1993. "Timid Choices and Bold Forecasts: A Cognitive Perspective on Risk Taking," Management Science, INFORMS, vol. 39(1), pages 17-31, January.
    7. Wolpert David & Leslie David S., 2012. "Information Theory and Observational Limitations in Decision Making," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-43, January.
    8. Antonio E. Bernardo & Ivo Welch, 2001. "On the Evolution of Overconfidence and Entrepreneurs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 10(3), pages 301-330, September.
    9. Toru Suzuki, 2012. "Complementarity of behavioral biases," Theory and Decision, Springer, vol. 72(3), pages 413-430, March.
    10. Nick Netzer, 2009. "Evolution of Time Preferences and Attitudes toward Risk," American Economic Review, American Economic Association, vol. 99(3), pages 937-955, June.
    11. Adrian Bruhin & Helga Fehr-Duda & Thomas Epper, 2010. "Risk and Rationality: Uncovering Heterogeneity in Probability Distortion," Econometrica, Econometric Society, vol. 78(4), pages 1375-1412, July.
    12. Helga Fehr-Duda & Adrian Bruhin & Thomas Epper & Renate Schubert, 2010. "Rationality on the rise: Why relative risk aversion increases with stake size," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 147-180, April.
    13. Gregory Besharov, 2004. "Second‐Best Considerations in Correcting Cognitive Biases," Southern Economic Journal, John Wiley & Sons, vol. 71(1), pages 12-20, July.
    14. 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..
    15. Larry Samuelson, 2004. "Information-Based Relative Consumption Effects," Econometrica, Econometric Society, vol. 72(1), pages 93-118, January.
    16. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    17. 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.
    18. Benjamin Enke & Thomas Graeber, 2021. "Cognitive Uncertainty in Intertemporal Choice," NBER Working Papers 29577, National Bureau of Economic Research, Inc.
    19. Roland Bénabou & Jean Tirole, 2005. "Self-Confidence and Personal Motivation," International Economic Association Series, in: Bina Agarwal & Alessandro Vercelli (ed.), Psychology, Rationality and Economic Behaviour, chapter 2, pages 19-57, Palgrave Macmillan.
    20. Rieger, Marc Oliver, 2014. "Evolutionary stability of prospect theory preferences," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 1-11.
    21. Dominic D. P. Johnson & James H. Fowler, 2011. "The evolution of overconfidence," Nature, Nature, vol. 477(7364), pages 317-320, September.
    22. Jianying Qiu & Eva-Maria Steiger, 2011. "Understanding the Two Components of Risk Attitudes: An Experimental Analysis," Management Science, INFORMS, vol. 57(1), pages 193-199, January.
    23. Olivier Compte & Andrew Postlewaite, 2004. "Confidence-Enhanced Performance," American Economic Review, American Economic Association, vol. 94(5), pages 1536-1557, December.
    24. Rieger, Marc Oliver & Wang, Mei & Hens, Thorsten, 2011. "Prospect Theory around the World," Discussion Papers 2011/19, Norwegian School of Economics, Department of Business and Management Science.
    25. Songfa Zhong & Salomon Israel & Hong Xue & Richard P Ebstein & Soo Hong Chew, 2009. "Monoamine Oxidase A Gene (MAOA) Associated with Attitude Towards Longshot Risks," PLOS ONE, Public Library of Science, vol. 4(12), pages 1-4, December.
    26. Tali Sharot & Alison M. Riccardi & Candace M. Raio & Elizabeth A. Phelps, 2007. "Neural mechanisms mediating optimism bias," Nature, Nature, vol. 450(7166), pages 102-105, November.
    27. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2017. "Optimism and Pessimism with Expected Utility," Journal of the European Economic Association, European Economic Association, vol. 15(5), pages 1158-1175.
    28. Isabelle Brocas & Juan D. Carrillo, 2004. "Entrepreneurial Boldness and Excessive Investment," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 13(2), pages 321-350, June.
    29. R. G. Lipsey & Kelvin Lancaster, 1956. "The General Theory of Second Best," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 24(1), pages 11-32.
    30. Jakub Steiner & Colin Stewart, 2016. "Perceiving Prospects Properly," American Economic Review, American Economic Association, vol. 106(7), pages 1601-1631, July.
    31. Sivan Frenkel & Yuval Heller & Roee Teper, 2018. "The Endowment Effect As Blessing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(3), pages 1159-1186, August.
    32. Waldman, Michael, 1994. "Systematic Errors and the Theory of Natural Selection," American Economic Review, American Economic Association, vol. 84(3), pages 482-497, June.
    33. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    34. , J. & ,, 2011. "The evolution of decision and experienced utility," Theoretical Economics, Econometric Society, vol. 6(3), September.
    35. Shafer, Wayne J, 1974. "The Nontransitive Consumer," Econometrica, Econometric Society, vol. 42(5), pages 913-919, September.
    36. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2007. "The Dynamic Evolution of Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 251-286, August.
    37. Curry, Philip A., 2001. "Decision Making under Uncertainty and the Evolution of Interdependent Preferences," Journal of Economic Theory, Elsevier, vol. 98(2), pages 357-369, June.
    38. repec:lmu:muenar:20868 is not listed on IDEAS
    39. Michael L. Platt & Paul W. Glimcher, 1999. "Neural correlates of decision variables in parietal cortex," Nature, Nature, vol. 400(6741), pages 233-238, July.
    40. Ian M. Dobbs & Ian Molho, 1999. "Evolution and sub-optimal behaviour," Journal of Evolutionary Economics, Springer, vol. 9(2), pages 187-209.
    41. , & , M., 2006. "Information, evolution and utility," Theoretical Economics, Econometric Society, vol. 1(1), pages 119-142, March.
    42. Robson, Arthur J., 1996. "A Biological Basis for Expected and Non-expected Utility," Journal of Economic Theory, Elsevier, vol. 68(2), pages 397-424, February.
    43. Sandeep Baliga & Jeffrey C. Ely, 2011. "Mnemonomics: The Sunk Cost Fallacy as a Memory Kludge," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 35-67, November.
    44. Michael Woodford, 2012. "Prospect Theory as Efficient Perceptual Distortion," American Economic Review, American Economic Association, vol. 102(3), pages 41-46, May.
    45. Yao, Jing & Li, Duan, 2013. "Bounded rationality as a source of loss aversion and optimism: A study of psychological adaptation under incomplete information," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 18-31.
    46. Dan Lovallo & Colin Camerer, 1999. "Overconfidence and Excess Entry: An Experimental Approach," American Economic Review, American Economic Association, vol. 89(1), pages 306-318, March.
    47. Luis Rayo & Gary S. Becker, 2007. "Evolutionary Efficiency and Happiness," Journal of Political Economy, University of Chicago Press, vol. 115(2), pages 302-337.
    48. Friedman, Daniel, 1989. "The S-Shaped Value Function as a Constrained Optimum," American Economic Review, American Economic Association, vol. 79(5), pages 1243-1248, December.
    49. Arthur J. Robson, 2001. "The Biological Basis of Economic Behavior," Journal of Economic Literature, American Economic Association, vol. 39(1), pages 11-33, March.
    50. Georg Nöldeke & Larry Samuelson, 2005. "Information-Based Relative Consumption Effects: Correction," Econometrica, Econometric Society, vol. 73(4), pages 1383-1387, July.
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    More about this item

    Keywords

    Probability weighting; Prospect theory; Evolution of preferences;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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