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Eliciting Utility for (Non)Expected Utility Preferences Using Invariance Transformations

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  • André De Palma

    (ENS Cachan - Ecole Normale Supérieure de Cachan - École normale supérieure de Cachan - ENS Cachan, Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)

  • Nathalie Picard

    (Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X, THEMA - Théorie économique, modélisation et applications - CNRS : UMR8184 - Université de Cergy Pontoise)

  • Jean-Luc Prigent

    (THEMA - Théorie économique, modélisation et applications - CNRS : UMR8184 - Université de Cergy Pontoise)

Abstract

This paper presents a methodology to determine the preferences of an individual facing risk in the framework of (non)-expected utility theory. When individual preference satisfies a given invariance property, his utility function is solution of a functional equation associated to a specific transformation. Conversely, there exist transformations characterizing any given utility function and its invariance property. More precisely, invariance with respect to two transformations uniquely determines the individual utility function. We provide examples of such transformations for CARA or CRRA utility, but also with any other utility specification and discuss the example of DARA and IRRA specifications.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number hal-00517726.

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Date of creation: 15 Sep 2010
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Handle: RePEc:hal:wpaper:hal-00517726

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Keywords: Utility theory; risk aversion; elicitation of preferences.;

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References

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  1. André de Palma & Moshe Ben-Akiva & David Brownstone & Charles Holt & Thierry Magnac & Daniel McFadden & Peter Moffatt & Nathalie Picard & Kenneth Train & Peter Wakker & Joan Walker, 2008. "Risk, Uncertainty and Discrete Choice Models," THEMA Working Papers 2008-02, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  2. de Palma, André & Prigent, Jean-Luc, 2008. "Utilitarianism and fairness in portfolio positioning," Journal of Banking & Finance, Elsevier, vol. 32(8), pages 1648-1660, August.
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Cited by:
  1. André De Palma & Nathalie Picard & Jean-Luc Prigent, 2009. "Prise en compte de l'attitude face au risque dans le cadre de la directive MiFID," Working Papers hal-00418892, HAL.

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