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Comment on “Ellsberg's two‐color experiment, portfolio inertia and ambiguity”

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  • Youichiro Higashi
  • Sujoy Mukerji
  • Norio Takeoka
  • Jean‐Marc Tallon

Abstract

In the setting of Ellsberg's two‐color experiment, Mukerji and Tallon (2003) claim, without relying on particular representations, that ambiguity‐averse behavior implies subjective portfolio inertia. In this note, we point out using a counterexample that their axioms are not enough to establish the result. We fill in the gap in their argument using additional axioms and argue that these axioms are of their own interest in that they behaviorally separate two prominent models of ambiguity: the maximin expected utility and smooth ambiguity models.

Suggested Citation

  • Youichiro Higashi & Sujoy Mukerji & Norio Takeoka & Jean‐Marc Tallon, 2008. "Comment on “Ellsberg's two‐color experiment, portfolio inertia and ambiguity”," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(3), pages 433-444, September.
  • Handle: RePEc:bla:ijethy:v:4:y:2008:i:3:p:433-444
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    File URL: https://doi.org/10.1111/j.1742-7363.2008.00087.x
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    References listed on IDEAS

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    1. Mukerji, Sujoy & Tallon, Jean-Marc, 2003. "Ellsberg's two-color experiment, portfolio inertia and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 299-316, June.
    2. 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.
    3. Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
    4. Epstein, Larry G & Zhang, Jiankang, 2001. "Subjective Probabilities on Subjectively Unambiguous Events," Econometrica, Econometric Society, vol. 69(2), pages 265-306, March.
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    Cited by:

    1. Alain Chateauneuf & Caroline Ventura, 2008. "The no-trade interval of Dow and Werlang : some clarifications," Post-Print halshs-00341174, HAL.
    2. Antoine Billot & Jean-Marc Tallon & Sujoy Mukerji, 2019. "Market Allocations under Ambiguity: A Survey," PSE Working Papers halshs-02173491, HAL.

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