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Part of the book series: Theory and Decision Library ((TDLB,volume 13))

Abstract

Yaari’s theorem on the integral representation of a (non-expected-utility) preference relation on random variables is presented in a more general setting. Furthermore, in the risk averse case, concavity of these preferences is established. The essential tool is a fundamental inequality for Lorenz functions of distributions.

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References

  • Chew, S. H., E. Kami and z. Safra (1987): ‘Risk Aversion in the Theory of Expected Utility with Rank Dependent Probabilities’, Journal of Economic Theory 42, 370–381.

    Article  Google Scholar 

  • Denneberg, D. (1985): ‘Valuation of First Moment Risk for Decision Purposes in Finance and insurance’ In H. Göppl, R. Henn (Hrg.) 3. Tagung Geld, Banken und Versicherungen, Karlsruhe’ 1 2.-1 5.1 2.1 984, Karlsruhe (Verlag Versiche-rungswirtschaf t), 855–869.

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  • Denneberg, D. (1988a): ‘Keynes Decision Rule, on “Expectation” in the General Theory’, European Journal of Political Economy 4, 205–223.

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  • Denneberg, D. (1988b):’ Risiko und Erwartung in der Allgemeinen Theorie, eine Formalisierung’. In H. Hage-mann, O. Steiger (ed.’ s): ‘Keynes’ General Theory nach fünfzig Jahren’. Berlin: Duncker & Humblot.

    Google Scholar 

  • Mendelson, H. (1987): ‘Quantile-Preserving Spread’ Journal of Economic Theory 42, 334–351.

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  • Roell, A. (1987): ‘Risk Aversion in Quiggin and Yaarl’s Rank-Order Model of Choice under Uncertainty’. The Economic Journal 97 (Conference 1987). 143–159.

    Article  Google Scholar 

  • Yaari, M. E. (1987): ‘The Dual Theory of Choice under Risk’, Econometrica 55, 95–115.

    Article  Google Scholar 

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© 1991 Springer Science+Business Media Dordrecht

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Denneberg, D. (1991). On Non-Expected-Utility Preferences. In: Chikán, A. (eds) Progress in Decision, Utility and Risk Theory. Theory and Decision Library, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3146-9_5

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  • DOI: https://doi.org/10.1007/978-94-011-3146-9_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5387-7

  • Online ISBN: 978-94-011-3146-9

  • eBook Packages: Springer Book Archive

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