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The no-trade interval of Dow and Werlang: Some clarifications

Author

Listed:
  • Alain Chateauneuf

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Caroline Ventura

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

The aim of this paper is two-fold: first, to emphasize that the seminal result of Dow and Werlang (1992) remains valid under weaker conditions, and this even if non-positive prices are considered, or equally that the no-trade interval result is robust when considering assets which can yield non-positive outcomes. Second, to make precise the weak uncertainty aversion behavior characteristic of the existence of such an interval.

Suggested Citation

  • Alain Chateauneuf & Caroline Ventura, 2010. "The no-trade interval of Dow and Werlang: Some clarifications," PSE-Ecole d'économie de Paris (Postprint) hal-00634653, HAL.
    • Handle: RePEc:hal:pseptp:hal-00634653
    DOI: 10.1016/j.mathsocsci.2009.09.008
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    References listed on IDEAS

    as
    1. Paolo Ghirardato & Massimo Marinacci, 2001. "Risk, Ambiguity, and the Separation of Utility and Beliefs," Mathematics of Operations Research, INFORMS, vol. 26(4), pages 864-890, November.
    2. 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.
    3. Wakker, Peter, 1990. "Characterizing optimism and pessimism directly through comonotonicity," Journal of Economic Theory, Elsevier, vol. 52(2), pages 453-463, December.
    4. Chateauneuf, Alain & Dana, Rose-Anne & Tallon, Jean-Marc, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 191-214, October.
    5. Moez Abouda, 2008. "Decreasing absolute risk aversion: some clarification," Post-Print halshs-00270648, HAL.
    6. 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.
    7. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    8. Moez Abouda, 2008. "Decreasing absolute risk aversion: some clarification," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00270648, HAL.
    9. Asano, Takao, 2006. "Portfolio inertia under ambiguity," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 223-232, December.
    10. Moez Abouda, 2008. "Decreasing absolute risk aversion: some clarification," Documents de travail du Centre d'Economie de la Sorbonne b08024, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    11. Jean-Marc Tallon & Alain Chateauneuf, 2002. "Diversification, convex preferences and non-empty core in the Choquet expected utility model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(3), pages 509-523.
    12. Sujoy Mukerji & Jean-Marc Tallon & EUREQua & CNRS - Universite Paris I., 2003. "An overview of economic applications of David Schmeidler`s models of decision making under uncertainty," Economics Series Working Papers 165, University of Oxford, Department of Economics.
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    16. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
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    20. Jean-Marc Tallon & Alain Chateauneuf, 2002. "Diversification, convex preferences and non-empty core in the Choquet expected utility model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(3), pages 509-523.
    21. Moez Abouda & Alain Chateauneuf, 2002. "Positivity of bid-ask spreads and symmetrical monotone risk aversion ," Theory and Decision, Springer, vol. 52(2), pages 149-170, March.
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    Cited by:

    1. Jungeilges, Jochen & Maklakova, Elena & Perevalova, Tatyana, 2021. "Asset price dynamics in a “bull and bear market”," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 117-128.
    2. Daniele Pennesi, 2013. "Endogenous Status Quo," Carlo Alberto Notebooks 314, Collegio Carlo Alberto.
    3. Rinaldi, Francesca, 2009. "Endogenous incompleteness of financial markets: The role of ambiguity and ambiguity aversion," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 880-901, December.
    4. Marta Cardin & Bennett Eisenberg & Luisa Tibiletti, 2012. "Bid and Ask Prices Tailored to Traders' Risk Aversion and Gain Propension: a Normative Approach," International Journal of Business Research and Management (IJBRM), Computer Science Journals (CSC Journals), vol. 3(6), pages 294-306, December.
    5. Cillo, Alessandra & Delquié, Philippe, 2014. "Mean-risk analysis with enhanced behavioral content," European Journal of Operational Research, Elsevier, vol. 239(3), pages 764-775.

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    More about this item

    Keywords

    Choquet expected utility; No-trade interval; Perfect hedging; Comonotone diversification; Capacity;
    All these keywords.

    JEL classification:

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

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