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Operationalizing Reverse Bayesianism

Author

Listed:
  • Surajeet Chakravarty

    (University of Exeter)

  • David Kelsey

    (University of Exeter, University of Nottingham)

  • Joshua C. Teitelbaum

    (Georgetown University)

Abstract

Karni and Viero (2013) propose a model of belief revision under growing awareness reverse Bayesianism which posits that as a person becomes aware of new acts, consequences, or act-consequence links, she revises her beliefs over an expanded state space in a way that preserves the relative likelihoods of events in the original state space. A key limitation of the model is that reverse Bayesianism alone does not fully determine the revised probability distribution. We provide an assumption act independence that imposes additional restrictions on reverse Bayesian belief revision. We show that under act independence, knowledge of the probabilities of new events in the expanded state space is sufficient to fully determine the revised probability distribution in each case of growing awareness. We thereby operationalize the reverse Bayesian model for applications. To illustrate how act independence operationalizes reverse Bayesianism, we consider the law and economics problem of optimal safety regulation.

Suggested Citation

  • Surajeet Chakravarty & David Kelsey & Joshua C. Teitelbaum, 2020. "Operationalizing Reverse Bayesianism," Discussion Papers 2020-18, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  • Handle: RePEc:not:notcdx:2020-18
    as

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    File URL: https://www.nottingham.ac.uk/cedex/documents/papers/cedex-discussion-paper-2020-18.pdf
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    References listed on IDEAS

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    1. Dekel, Eddie & Lipman, Barton L. & Rustichini, Aldo, 1998. "Recent developments in modeling unforeseen contingencies," European Economic Review, Elsevier, vol. 42(3-5), pages 523-542, May.
    2. Zhao, Xiaojian, 2011. "Framing contingencies in contracts," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 31-40, January.
    3. Gary S. Becker, 1974. "Crime and Punishment: An Economic Approach," NBER Chapters, in: Essays in the Economics of Crime and Punishment, pages 1-54, National Bureau of Economic Research, Inc.
    4. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
    5. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
    6. Halpern, Joseph Y., 2001. "Alternative Semantics for Unawareness," Games and Economic Behavior, Elsevier, vol. 37(2), pages 321-339, November.
    7. Edi Karni & Marie-Louise Vier?, 2013. ""Reverse Bayesianism": A Choice-Based Theory of Growing Awareness," American Economic Review, American Economic Association, vol. 103(7), pages 2790-2810, December.
    8. Filiz-Ozbay, Emel, 2012. "Incorporating unawareness into contract theory," Games and Economic Behavior, Elsevier, vol. 76(1), pages 181-194.
    9. Edi Karni & Marie-Louise Vierø, 2015. "Probabilistic sophistication and reverse Bayesianism," Journal of Risk and Uncertainty, Springer, vol. 50(3), pages 189-208, June.
    10. Ernst-Ludwig Von Thadden & Xiaojian Zhao, 2012. "Incentives for Unaware Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 1151-1174.
    11. Christopher P. Chambers & Takashi Hayashi, 2018. "Reverse Bayesianism: A Comment," American Economic Journal: Microeconomics, American Economic Association, vol. 10(1), pages 315-324, February.
    12. Ernst-Ludwig Thadden & Xiaojian Zhao, 2014. "Multi-task agency with unawareness," Theory and Decision, Springer, vol. 77(2), pages 197-222, August.
    13. Auster, Sarah, 2013. "Asymmetric awareness and moral hazard," Games and Economic Behavior, Elsevier, vol. 82(C), pages 503-521.
    14. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
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    More about this item

    Keywords

    act independence; reverse Bayesianism; safety regulation; unawareness;
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