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« Utilité cardinale » dans le certain et choix dans le risque

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  • Denis Bouyssou
  • Jean-Claude Vansnick

Abstract

[fre] « Utilité cardinale » dans le certain et choix dans le risque . . Le but de cet article est d'étudier les liens existant entre la notion de fonction d'utilité au sens de von Neumann et Morgenstern et celle de fonction de valeur mesurant les différences de préférence. Cette question a donné lieu à de nombreuses controverses dont nous rappelons l'importance. On présente ensuite un ensemble de résultats donnant, en particulier, les conditions nécessaires et suffisantes pour que les deux fonctions soient identiques à une transformation affine positive près. On étudie enfin les implications de ces résultats sur un plan théorique et en matière d'aide à la décision et de calcul économique. [eng] « Cardinal utility » and risky choice . . The aim of this paper is to study the links between the notion of von Neumann-Morgenstern utility function and that of value function measuring preference differences. We fkst recall the heated debates that took place around this question. We then present a number of results giving, in particular, the necessary and sufficient conditions for these two functions to define the same interval scale. These results are then analyzed both from a theoretical and prescriptive point of view.

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  • Denis Bouyssou & Jean-Claude Vansnick, 1990. "« Utilité cardinale » dans le certain et choix dans le risque," Revue Économique, Programme National Persée, vol. 41(6), pages 979-1000.
    • Handle: RePEc:prs:reveco:reco_0035-2764_1990_num_41_6_409249
    DOI: 10.3406/reco.1990.409249
    Note: DOI:10.3406/reco.1990.409249
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    References listed on IDEAS

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    1. James S. Dyer & Rakesh K. Sarin, 1982. "Relative Risk Aversion," Management Science, INFORMS, vol. 28(8), pages 875-886, August.
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    4. Denis Bouyssou, 1984. "Decision-Aid and Expected Utility Theory: A Critical Survey," Post-Print hal-02920187, HAL.
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    6. George J. Stigler, 1950. "The Development of Utility Theory. I," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 307-307.
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    3. Langlais, Eric, 2010. "Safety and the Allocation of Costs in Large Accidents," MPRA Paper 25710, University Library of Munich, Germany.
    4. André Lapidus, 2000. "La rationalité du choix passionnel : En quête de l'héritage de David Hume," Post-Print hal-00343939, HAL.
    5. Bertrand Munier, 2001. "Risk Attitudes Appraisal and Cognitive Coordination in Decentralized Decision Systems," Group Decision and Negotiation, Springer, vol. 10(2), pages 141-158, March.
    6. Dorian Jullien, 2013. "Asian Disease-type of Framing of Outcomes as an Historical Curiosity," GREDEG Working Papers 2013-47, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    7. Beuthe, Michel & Eeckhoudt, Louis & Scannella, Giuseppe, 2000. "A practical multicriteria methodology for assessing risky public investments," Socio-Economic Planning Sciences, Elsevier, vol. 34(2), pages 121-139, June.

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