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Comment on Ellsberg's two-color experiment, portfolio inertia and ambiguity

Author

Listed:
• Youichiro Higashi

(Department of economics - University of Rochester [USA])

• Sujoy Mukerji

(University of Oxford [Oxford])

• Norio Takeoka

(Department of economics - University of Rochester [USA])

• Jean-Marc Tallon

() (CES - Centre d'économie de la Sorbonne - CNRS - Centre National de la Recherche Scientifique - UP1 - Université Panthéon-Sorbonne, PSE - Paris School of Economics)

Abstract

The final step in the proof of Proposition 1 (p.311) of Mukerji and Tallon (2003) may not hold in generalbecause $\varepsilon>0$ in the proof cannot be chosen independently of $w,z$. We point out by a counterexample that the axioms they impose are too weak for Proposition 1. We introduce a modified set of axioms and re-establish the proposition

Suggested Citation

• Youichiro Higashi & Sujoy Mukerji & Norio Takeoka & Jean-Marc Tallon, 2008. "Comment on Ellsberg's two-color experiment, portfolio inertia and ambiguity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00175266, HAL.
• Handle: RePEc:hal:cesptp:halshs-00175266
DOI: 10.1111/j.1742-7363.2008.00087.x
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00175266
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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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Keywords

ambiguity; bid ask spread; Ellsberg paradox;

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