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Increases in risk and demand for a risky asset

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  • Chateauneuf, A.
  • Lakhnati, G.

Abstract

We first prove the noteworthy fact that Central Dominance with m=1 (CD1), introduced by Gollier (1995), is a particular case of Second order Stochastic Dominance. We then introduce a new tractable class of dominance that we name Relative order and we prove that this class is a strict subclass of CD1. Finally, we show that some known classes of dominance are particular cases of our new class of dominance.

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  • Chateauneuf, A. & Lakhnati, G., 2015. "Increases in risk and demand for a risky asset," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 44-48.
    • Handle: RePEc:eee:matsoc:v:75:y:2015:i:c:p:44-48
    DOI: 10.1016/j.mathsocsci.2015.02.005
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Quiggin, John, 1991. "Comparative Statics for Rank-Dependent Expected Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 4(4), pages 339-350, December.
    4. 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.
    5. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    6. 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.
    7. 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.
    8. Gollier Christian, 1995. "The Comparative Statics of Changes in Risk Revisited," Journal of Economic Theory, Elsevier, vol. 66(2), pages 522-535, August.
    9. 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.
    10. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    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:

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    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

    JEL classification:

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

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