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Wishful Thinking is Risky Thinking

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  • Jarrod Burgh
  • Emerson Melo

Abstract

We develop a model of wishful thinking that incorporates the costs and benefits of biased beliefs. We establish the connection between distorted beliefs and risk, revealing how wishful thinking can be understood in terms of risk measures. Our model accommodates extreme beliefs, allowing wishful-thinking decision-makers to assign zero probability to undesirable states and positive probability to otherwise impossible states.

Suggested Citation

  • Jarrod Burgh & Emerson Melo, 2023. "Wishful Thinking is Risky Thinking," Papers 2307.02422, arXiv.org, revised Feb 2024.
  • Handle: RePEc:arx:papers:2307.02422
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    References listed on IDEAS

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    1. Kent Daniel & David Hirshleifer, 2015. "Overconfident Investors, Predictable Returns, and Excessive Trading," Journal of Economic Perspectives, American Economic Association, vol. 29(4), pages 61-88, Fall.
    2. Ulrike Malmendier & Timothy Taylor, 2015. "On the Verges of Overconfidence," Journal of Economic Perspectives, American Economic Association, vol. 29(4), pages 3-8, Fall.
    3. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
    4. Ulrike Malmendier & Geoffrey Tate, 2015. "Behavioral CEOs: The Role of Managerial Overconfidence," Journal of Economic Perspectives, American Economic Association, vol. 29(4), pages 37-60, Fall.
    5. Roland Bénabou & Jean Tirole, 2016. "Mindful Economics: The Production, Consumption, and Value of Beliefs," Journal of Economic Perspectives, American Economic Association, vol. 30(3), pages 141-164, Summer.
    6. Michael D. Grubb, 2015. "Overconfident Consumers in the Marketplace," Journal of Economic Perspectives, American Economic Association, vol. 29(4), pages 9-36, Fall.
    7. Puri, Manju & Robinson, David T., 2007. "Optimism and economic choice," Journal of Financial Economics, Elsevier, vol. 86(1), pages 71-99, October.
    8. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    9. Bresnahan, Timothy F. & Reiss, Peter C., 1991. "Empirical models of discrete games," Journal of Econometrics, Elsevier, vol. 48(1-2), pages 57-81.
    10. Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
    11. Akerlof, George A & Dickens, William T, 1982. "The Economic Consequences of Cognitive Dissonance," American Economic Review, American Economic Association, vol. 72(3), pages 307-319, June.
    12. Christopher P. Chambers, 2009. "An Axiomatization Of Quantiles On The Domain Of Distribution Functions," Mathematical Finance, Wiley Blackwell, vol. 19(2), pages 335-342, April.
    13. Aharon Ben‐Tal & Marc Teboulle, 2007. "An Old‐New Concept Of Convex Risk Measures: The Optimized Certainty Equivalent," Mathematical Finance, Wiley Blackwell, vol. 17(3), pages 449-476, July.
    14. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    15. Kovach, Matthew, 2020. "Twisting the truth: foundations of wishful thinking," Theoretical Economics, Econometric Society, vol. 15(3), July.
    16. Marzena Rostek, 2010. "Quantile Maximization in Decision Theory ," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 339-371.
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