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Dynamic Consistency and Rectangularity for the Smooth Ambiguity Model

Author

Listed:
  • Andrei Savochkin

    (New Economic School)

  • Alexander Shklyaev

    (Moscow State University)

  • Alexey Galatenko

    (Moscow State University)

Abstract

We study the Smooth Ambiguity decision criterion in the dynamic setting to understand when it can satisfy the Dynamic Consistency and Consequentialism properties. Our result characterizes the possibility to have these properties through a condition that has the spirit of the rectangularity condition introduced by Epstein and Schneider (2003) for the maxmin model. Rectangularity enables specifying preferences recursively and solving applied models by Dynamic Programming. At the same time, we show that Dynamic Consistency and Consequentialism can be achieved for Smooth Ambiguity preferences in a narrower set of scenarios than one could expect.

Suggested Citation

  • Andrei Savochkin & Alexander Shklyaev & Alexey Galatenko, 2022. "Dynamic Consistency and Rectangularity for the Smooth Ambiguity Model," Working Papers w0288, New Economic School (NES).
    • Handle: RePEc:abo:neswpt:w0288
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    File URL: https://www.nes.ru/files/Preprints-resh/WP288.pdf
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    References listed on IDEAS

    as
    1. Eichberger, Jurgen & Kelsey, David, 1996. "Uncertainty Aversion and Dynamic Consistency," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(3), pages 625-640, August.
    2. , & ,, 2007. "Updating preferences with multiple priors," Theoretical Economics, Econometric Society, vol. 2(3), September.
    3. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    4. Gumen, Anna & Savochkin, Andrei, 2013. "Dynamically stable preferences," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1487-1508.
    5. Maccheroni, Fabio & Marinacci, Massimo & Rustichini, Aldo, 2006. "Dynamic variational preferences," Journal of Economic Theory, Elsevier, vol. 128(1), pages 4-44, May.
    6. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    7. Al-Najjar, Nabil I. & Weinstein, Jonathan, 2009. "The Ambiguity Aversion Literature: A Critical Assessment," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 249-284, November.
    8. Al-Najjar, Nabil I. & Weinstein, Jonathan, 2009. "Rejoinder: The €Œambiguity Aversion Literature: A Critical Assessmentâ€," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 357-369, November.
    9. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Massimo Marinacci & Giulio Principi & Lorenzo Stanca, 2023. "Recursive Preferences and Ambiguity Attitudes," Carlo Alberto Notebooks 695 JEL Classification: C, Collegio Carlo Alberto.
    2. Marinacci Massimo & Principi Giulio & Stanca Lorenzo, 2023. "Recursive Preferences and Ambiguity Attitudes," Working papers 082, Department of Economics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    3. Massimo Marinacci & Giulio Principi & Lorenzo Stanca, 2023. "Recursive Preferences and Ambiguity Attitudes," Papers 2304.06830, arXiv.org, revised Aug 2023.

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    More about this item

    Keywords

    smooth ambiguity; dynamic consistency; rectangularity JEL Classifications: D81;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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