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Information Theory and Biased Beliefs

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  • Little, Andrew T.

Abstract

Beliefs can be incorrect or biased in many ways. I propose a unifying microfoundation for many well-documented biases using ideas from information theory. The common theme is that subjective beliefs are the solution to an optimization problem where one goal is accuracy, formalized by minimizing Kullback-Leibler divergence from the objective belief. Correct beliefs are a special case where accuracy is the only goal. Other goals or constraints produce biases such as motivated beliefs, partition dependence, anchoring, overconfidence, confirmation bias, base-rate neglect, and conservatism.

Suggested Citation

  • Little, Andrew T., 2022. "Information Theory and Biased Beliefs," OSF Preprints vfqy2, Center for Open Science.
  • Handle: RePEc:osf:osfxxx:vfqy2
    DOI: 10.31219/osf.io/vfqy2
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    References listed on IDEAS

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    1. Benjamin Enke & Thomas Graeber, 2019. "Cognitive Uncertainty," NBER Working Papers 26518, National Bureau of Economic Research, Inc.
    2. Philippe Jehiel, 2018. "Investment Strategy and Selection Bias: An Equilibrium Perspective on Overoptimism," American Economic Review, American Economic Association, vol. 108(6), pages 1582-1597, June.
    3. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    4. Drew Fudenberg, 2006. "Advancing Beyond Advances in Behavioral Economics," Journal of Economic Literature, American Economic Association, vol. 44(3), pages 694-711, September.
    5. Andrew Caplin & Mark Dean & John Leahy, 2022. "Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy," Journal of Political Economy, University of Chicago Press, vol. 130(6), pages 1676-1715.
    6. Bracha, Anat & Brown, Donald J., 2012. "Affective decision making: A theory of optimism bias," Games and Economic Behavior, Elsevier, vol. 75(1), pages 67-80.
    7. Benjamin Enke, 2020. "What You See Is All There Is," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1363-1398.
    8. Andrew Caplin & Mark Dean & John Leahy, 2019. "Rational Inattention, Optimal Consideration Sets, and Stochastic Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(3), pages 1061-1094.
    9. Xavier Gabaix, 2014. "A Sparsity-Based Model of Bounded Rationality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1661-1710.
    10. Erik Snowberg & Justin Wolfers, 2010. "Explaining the Favorite-Long Shot Bias: Is it Risk-Love or Misperceptions?," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 723-746, August.
    11. Leeat Yariv, 2002. "I'll See It When I Believe It - A Simple Model of Cognitive Consistency," Cowles Foundation Discussion Papers 1352, Cowles Foundation for Research in Economics, Yale University.
    12. Victor Stango & Jonathan Zinman, 2023. "We Are All Behavioural, More, or Less: A Taxonomy of Consumer Decision-Making," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(3), pages 1470-1498.
    13. Daniel J. Benjamin & Don A. Moore & Matthew Rabin, 2017. "Biased Beliefs About Random Samples: Evidence from Two Integrated Experiments," NBER Working Papers 23927, National Bureau of Economic Research, Inc.
    14. David Eil & Justin M. Rao, 2011. "The Good News-Bad News Effect: Asymmetric Processing of Objective Information about Yourself," American Economic Journal: Microeconomics, American Economic Association, vol. 3(2), pages 114-138, May.
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