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From sure to strong diversification

Author

Listed:
  • Alain Chateauneuf

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

  • Ghizlane Lakhnati

    ()

Abstract

This paper presents a characterization of weak risk aversion in terms of preference for sure diversification. Similarly, we show that strong risk aversion can be characterized by weakening preference for diversification,as introduced by Dekel (Econometrica 57:163,1989), in what we call preference for strong diversification.

Suggested Citation

  • Alain Chateauneuf & Ghizlane Lakhnati, 2007. "From sure to strong diversification," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00271265, HAL.
  • Handle: RePEc:hal:cesptp:hal-00271265
    DOI: 10.1007/s00199-006-0126-2
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00271265
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    References listed on IDEAS

    as
    1. Dekel, Eddie, 1989. "Asset Demands without the Independence Axiom," Econometrica, Econometric Society, vol. 57(1), pages 163-169, January.
    2. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    3. Chateauneuf, Alain & Cohen, Michele, 1994. "Risk Seeking with Diminishing Marginal Utility in a Non-expected Utility Model," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 77-91, July.
    4. Tallon, J.-M. & Chateauneuf, A., 1998. "Diversification, Convex Preferences and Non-Empty Core," Papiers d'Economie Mathématique et Applications 98.32, Université Panthéon-Sorbonne (Paris 1).
    5. 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.
    6. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
    7. Chateauneuf, Alain, 1999. "Comonotonicity axioms and rank-dependent expected utility theory for arbitrary consequences," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 21-45, August.
    8. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    9. Abouda, Moez & Chateauneuf, Alain, 2002. "Characterization of symmetrical monotone risk aversion in the RDEU model," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 1-15, September.
    10. Hong Chew Soo & Hui Mao Mei, 1995. "A Schur Concave Characterization of Risk Aversion for Non-expected Utility Preferences," Journal of Economic Theory, Elsevier, vol. 67(2), pages 402-435, December.
    11. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    12. Allais Maurice, 1990. "Cardinal Utility," Journal des Economistes et des Etudes Humaines, De Gruyter, vol. 1(2), pages 1-38, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Assa, Hirbod & Zimper, Alexander, 2018. "Preferences over all random variables: Incompatibility of convexity and continuity," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 71-83.
    2. Enrico G. De Giorgi & Ola Mahmoud, 2016. "Diversification preferences in the theory of choice," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(2), pages 143-174, November.
    3. repec:kap:theord:v:84:y:2018:i:1:d:10.1007_s11238-017-9636-6 is not listed on IDEAS
    4. Aloisio Araujo & Jean-Marc Bonnisseau & Alain Chateauneuf & Rodrigo Novinski, 2014. "Optimal Risk Sharing with Optimistic and Pessimistic Decision Makers," Working Papers 2014-579, Department of Research, Ipag Business School.
    5. Aloisio Araujo & Jean-Marc Bonnisseau & Alain Chateauneuf & Rodrigo Novinski, 2017. "Optimal sharing with an infinite number of commodities in the presence of optimistic and pessimistic agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 131-157, January.
    6. Gilles Boevi Koumou, 2016. "Risk reduction and Diversification within Markowitz's Mean-Variance Model: Theoretical Revisit," Papers 1608.05024, arXiv.org, revised Aug 2016.
    7. Enrico G. De Giorgi & Ola Mahmoud, 2016. "Naive Diversification Preferences and their Representation," Papers 1611.01285, arXiv.org, revised Nov 2016.
    8. Jean Baccelli, 2018. "Risk Attitudes in Axiomatic Decision Theory: a Conceptual Perspective," Post-Print hal-01620886, HAL.
    9. repec:hal:journl:halshs-00492170 is not listed on IDEAS

    More about this item

    Keywords

    Weak risk aversion; Strong risk aversion; Diversification;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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