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

Author

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  • André de Palma

    (ENS Cachan - École normale supérieure - Cachan, X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique)

  • Nathalie Picard

    (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique, THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Luc Prigent

    (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • André de Palma & Nathalie Picard & Jean-Luc Prigent, 2010. "Eliciting Utility for (Non)Expected Utility Preferences Using Invariance Transformations," Working Papers hal-00517726, HAL.
  • Handle: RePEc:hal:wpaper:hal-00517726
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00517726
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    References listed on IDEAS

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    1. Andre 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," Marketing Letters, Springer, vol. 19(3), pages 269-285, December.
      • 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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    Keywords

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