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Increases in risk and demand for risky asset

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  • Alain Chateauneuf

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Ghizlane Lakhnati

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we examine the effect of a decrease in risk on the demand for risky asset in the standard portfolio problem. We introduce a new class of dominance, that we name relative order and we prove that this class of dominance is consistent both with central dominance introduced by Gollier [5] and with mean preserving increase in risk. Finally, we show that some known classes of dominance are particular cases of our new class of dominance.

Suggested Citation

  • Alain Chateauneuf & Ghizlane Lakhnati, 2005. "Increases in risk and demand for risky asset," Post-Print halshs-00194413, HAL.
    • Handle: RePEc:hal:journl:halshs-00194413
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00194413
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    References listed on IDEAS

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    1. Meyer, Jack & Ormiston, Michael B, 1985. "Strong Increases in Risk and Their Comparative Statics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 425-437, June.
    2. Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, vol. 8(3), pages 337-360, July.
    3. Georges Dionne & Christian Gollier, 1992. "Comparative Statics Under Multiple Sources of Risk with Applications to Insurance Demand," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 17(1), pages 21-33, June.
    4. Christian Gollier, 2011. "Portfolio Choices and Asset Prices: The Comparative Statics of Ambiguity Aversion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1329-1344.
    5. Quiggin, John, 1991. "Comparative Statics for Rank-Dependent Expected Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 4(4), pages 339-350, December.
    6. Dionne, Georges & Eeckhoudt, Louis & Gollier, Christian, 1993. "Increases in Risk and Linear Payoffs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(2), pages 309-319, May.
    7. Gollier Christian, 1995. "The Comparative Statics of Changes in Risk Revisited," Journal of Economic Theory, Elsevier, vol. 66(2), pages 522-535, August.
    8. Meyer, Jack & Ormiston, Michael B., 1983. "The comparative statics of cumulative distribution function changes for the class of risk averse agents," Journal of Economic Theory, Elsevier, vol. 31(1), pages 153-169, October.
    9. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    10. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    11. Machina, Mark J & Pratt, John W, 1997. "Increasing Risk: Some Direct Constructions," Journal of Risk and Uncertainty, Springer, vol. 14(2), pages 103-127, March.
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    Cited by:

    1. Inmaculada Rodríguez-Puerta & Alberto A. Álvarez-López, 2022. "A model for the optimal selection of lenders," Annals of Operations Research, Springer, vol. 313(2), pages 1269-1284, June.
    2. Broll, Udo & Guo, Xu & Welzel, Peter & Wong, Wing-Keung, 2015. "The banking firm and risk taking in a two-moment decision model," Economic Modelling, Elsevier, vol. 50(C), pages 275-280.

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    More about this item

    Keywords

    EU Model; Portfolio Choice; Mean Preserving Increase inRisk; Central Dominance; Relative Simple Dominance; Relative Dominance; Modèle EU; Choix de portefeuille; MPIR; Dominance Centrale; Dominance Simple Relative; Dominance Relative;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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