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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
    DOI: 10.1111/j.1742-7363.2008.00087.x
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    References listed on IDEAS

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    1. Epstein, Larry G & Zhang, Jiankang, 2001. "Subjective Probabilities on Subjectively Unambiguous Events," Econometrica, Econometric Society, vol. 69(2), pages 265-306, March.
    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. 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.
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    Cited by:

    1. Chateauneuf, Alain & Ventura, Caroline, 2010. "The no-trade interval of Dow and Werlang: Some clarifications," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 1-14, January.
    2. Antoine Billot & Sujoy Mukerji & Jean-Marc Tallon, 2020. "Market Allocations under Ambiguity: A Survey," Revue économique, Presses de Sciences-Po, vol. 71(2), pages 267-282.

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