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Comment on “A theoretical foundation of ambiguity measurement” [J. Econ. Theory 187 (2020) 105001]

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  • Fu, Ruonan
  • Melenberg, Bertrand
  • Schweizer, Nikolaus

Abstract

In this paper, we study asymptotic expansions for distorted probabilities under ambiguity, revisiting the framework and analysis of Izhakian (2020b). We argue that the first order terms in these expansions need to be corrected and provide alternatives. We also revisit later results in this paper on the separation of ambiguity and ambiguity attitudes. We argue that a crucial lemma is flawed implying that Izhakian's ambiguity measure ℧2 is not an equivalent way of representing the preferences it is supposed to represent.

Suggested Citation

  • Fu, Ruonan & Melenberg, Bertrand & Schweizer, Nikolaus, 2023. "Comment on “A theoretical foundation of ambiguity measurement” [J. Econ. Theory 187 (2020) 105001]," Journal of Economic Theory, Elsevier, vol. 207(C).
    • Handle: RePEc:eee:jetheo:v:207:y:2023:i:c:s0022053122001636
    DOI: 10.1016/j.jet.2022.105573
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    References listed on IDEAS

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    1. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
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    3. Patrick Augustin & Yehuda Izhakian & Stijn Van Nieuwerburgh, 2020. "Ambiguity, Volatility, and Credit Risk," Review of Finance, European Finance Association, vol. 33(4), pages 1618-1672.
    4. Izhakian, Yehuda, 2020. "A theoretical foundation of ambiguity measurement," Journal of Economic Theory, Elsevier, vol. 187(C).
    5. Nicholas Barberis & Ming Huang, 2008. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," American Economic Review, American Economic Association, vol. 98(5), pages 2066-2100, December.
    6. Patrick Augustin & Yehuda Izhakian & Stijn Van Nieuwerburgh, 2020. "Ambiguity, Volatility, and Credit Risk," The Review of Financial Studies, Society for Financial Studies, vol. 33(4), pages 1618-1672.
    7. Brenner, Menachem & Izhakian, Yehuda, 2018. "Asset pricing and ambiguity: Empirical evidence⁎," Journal of Financial Economics, Elsevier, vol. 130(3), pages 503-531.
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    9. Izhakian, Yehuda & Yermack, David, 2017. "Risk, ambiguity, and the exercise of employee stock options," Journal of Financial Economics, Elsevier, vol. 124(1), pages 65-85.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Ambiguity; Model uncertainty; Probability weighting;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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