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Optimal investments for risk- and ambiguity-averse preferences: a duality approach

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  • Alexander Schied

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  • Alexander Schied, 2007. "Optimal investments for risk- and ambiguity-averse preferences: a duality approach," Finance and Stochastics, Springer, vol. 11(1), pages 107-129, January.
    • Handle: RePEc:spr:finsto:v:11:y:2007:i:1:p:107-129
    DOI: 10.1007/s00780-006-0024-2
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    References listed on IDEAS

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    1. A. Ben-Tal & M. Teboulle, 1987. "Penalty Functions and Duality in Stochastic Programming Via (phi)-Divergence Functionals," Mathematics of Operations Research, INFORMS, vol. 12(2), pages 224-240, May.
    2. Volker Krätschmer, 2005. "Robust representation of convex risk measures by probability measures," Finance and Stochastics, Springer, vol. 9(4), pages 597-608, October.
    3. Hernández-Hernández Daniel & Schied Alexander, 2006. "Robust utility maximization in a stochastic factor model," Statistics & Risk Modeling, De Gruyter, vol. 24(1/2006), pages 1-17, July.
    4. Hernández-Hernández Daniel & Schied Alexander, 2006. "Robust utility maximization in a stochastic factor model," Statistics & Risk Modeling, De Gruyter, vol. 24(1), pages 109-125, July.
    5. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    6. Burgert Christian & Rüschendorf Ludger, 2005. "Optimal consumption strategies under model uncertainty," Statistics & Risk Modeling, De Gruyter, vol. 23(1), pages 1-14, January.
    7. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    8. Denis Talay & Ziyu Zheng, 2002. "Worst case model risk management," Finance and Stochastics, Springer, vol. 6(4), pages 517-537.
    9. Elyès Jouini & Walter Schachermayer & Nizar Touzi, 2006. "Law Invariant Risk Measures Have the Fatou Property," Post-Print halshs-00176522, HAL.
    10. Alexander Schied, 2005. "Optimal Investments for Robust Utility Functionals in Complete Market Models," Mathematics of Operations Research, INFORMS, vol. 30(3), pages 750-764, August.
    11. Hernández-Hernández, Daniel & Schied, Alexander, 2005. "Robust utility maximization in a stochastic factor model," SFB 649 Discussion Papers 2006-007, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    12. Burgert Christian & Rüschendorf Ludger, 2005. "Optimal consumption strategies under model uncertainty," Statistics & Risk Modeling, De Gruyter, vol. 23(1/2005), pages 1-14, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Model uncertainty; Ambiguity; Convex risk measures; Optimal investments; Duality theory; 91B28; 90C46; 60G44; G11; D81;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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