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The Perils of Overreaction

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  • Konstantin von Beringe
  • Mark Whitmeyer

Abstract

In order to study updating rules, we consider the problem of a malevolent principal screening an imperfectly Bayesian agent. We uncover a fundamental dichotomy between underreaction and overreaction to information. If an agent's posterior is farther away from the prior than it should be under Bayes' law, she can always be exploited by the principal to an unfettered degree: the agent's ex ante expected loss can be made arbitrarily large. In stark contrast, an agent who underreacts (whose posterior is closer to the prior than the Bayesian posterior) cannot be exploited at all.

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  • Konstantin von Beringe & Mark Whitmeyer, 2024. "The Perils of Overreaction," Papers 2405.08087, arXiv.org.
    • Handle: RePEc:arx:papers:2405.08087
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    References listed on IDEAS

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    1. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2022. "Overreaction and Diagnostic Expectations in Macroeconomics," Journal of Economic Perspectives, American Economic Association, vol. 36(3), pages 223-244, Summer.
    2. Daniel J. Benjamin & Matthew Rabin & Collin Raymond, 2016. "A Model of Nonbelief in the Law of Large Numbers," Journal of the European Economic Association, European Economic Association, vol. 14(2), pages 515-544.
    3. Joshua Lanier & Matthew Polisson & John K. -H. Quah, 2024. "Money Pumps and Bounded Rationality," Papers 2404.04843, arXiv.org.
    4. Ned Augenblick & Matthew Rabin, 2021. "Belief Movement, Uncertainty Reduction, and Rational Updating," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 136(2), pages 933-985.
    5. Geoffroy de Clippel & Xu Zhang, 2022. "Non-Bayesian Persuasion," Journal of Political Economy, University of Chicago Press, vol. 130(10), pages 2594-2642.
    6. Federico Echenique & Sangmok Lee & Matthew Shum, 2011. "The Money Pump as a Measure of Revealed Preference Violations," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1201-1223.
    7. Christopher P. Chambers & Yusufcan Masatlioglu & Collin Raymond, 2023. "Coherent Distorted Beliefs," Papers 2310.09879, arXiv.org, revised Jun 2024.
    8. Epstein Larry G & Noor Jawwad & Sandroni Alvaro, 2010. "Non-Bayesian Learning," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-20, January.
    9. Matthew Rabin & Joel L. Schrag, 1999. "First Impressions Matter: A Model of Confirmatory Bias," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 37-82.
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