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Characterization of symmetrical monotone risk aversion in the RDEU model

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  • Abouda, Moez
  • Chateauneuf, Alain

Abstract

In a previous paper, Abouda and Chateauneuf proved that for RDEU maximizing MM with non-increasing marginal utility, positivity of the bid-ask spread can be identified with a very weak form of risk aversion SMRA. We perform here a more thorough study of SMRA, firstly in a general setting, and secondly in connection with the general RDEU model.
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  • 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.
    • Handle: RePEc:eee:matsoc:v:44:y:2002:i:1:p:1-15
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    References listed on IDEAS

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    1. Biais, Bruno, 1993. "Price Information and Equilibrium Liquidity in Fragmented and Centralized Markets," Journal of Finance, American Finance Association, vol. 48(1), pages 157-185, March.
    2. Dybvig, Philip H, 1988. "Distributional Analysis of Portfolio Choice," The Journal of Business, University of Chicago Press, vol. 61(3), pages 369-393, July.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Roger, Patrick, 2000. "Properties of bid and ask reservation prices in the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 269-285, November.
    5. Chateauneuf, A. & Cohen, M. & Meilijson, I., 1997. "New Tools to Better Model Behavior Under Risk and UNcertainty: An Oevrview," Papiers d'Economie Mathématique et Applications 97.55, Université Panthéon-Sorbonne (Paris 1).
    6. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    7. P. Roger & L. Eeckhoudt, 1999. "Risk Aversion and the Bid–Ask Spread," European Financial Management, European Financial Management Association, vol. 5(3), pages 323-340, November.
    8. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    9. Amihud, Yakov & Mendelson, Haim, 1980. "Dealership market : Market-making with inventory," Journal of Financial Economics, Elsevier, vol. 8(1), pages 31-53, March.
    10. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
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    Cited by:

    1. Moez Abouda, 2008. "Decreasing absolute risk aversion: some clarification," Post-Print halshs-00270648, HAL.
    2. Alain Chateauneuf & Ghizlane Lakhnati, 2007. "From sure to strong diversification," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 511-522, September.
    3. Moez Abouda & Elyess Farhoud, 2010. "Risk aversion and Relationships in model-free," Post-Print halshs-00492170, HAL.
    4. Alain Chateauneuf & Luciano De Castro, 2011. "Ambiguity Aversion and Absence of Trade," Discussion Papers 1535, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Moez Abouda & Elyess Farhoud, 2010. "Anti-comonotone random variables and anti-monotone risk aversion," Post-Print halshs-00497444, HAL.
    6. 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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    More about this item

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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