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Euclidean preferences

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Author Info
Anna Bogomolnaïa (Rice University -)
Jean-François Laslier (LEEP - Laboratoire d'econometrie de l'école polytechnique - CNRS : UMR7657 - Polytechnique - X)

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Abstract

Cette note est consacrée à la question:Quelle restriction impose-t-on en faisant l'hypothèse qu'un profil de préférences est euclidien en dimension d ? En particulier on démontre qu'un profil de préférences sur I individus et A alternatives peut être représenté par des utilités euclidiennes en dimension d si et seulement si d est supérieur ou égal à min(I,A-1). On décrit aussi les systèmes de points qui permettent de représenter tout profil sur A alternatives, et on donne quelques résultats quand seules les préférences strictes sont considérées.

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Paper provided by HAL in its series Working Papers with number hal-00242941_v1.

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Date of creation: 2004
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Handle: RePEc:hal:wpaper:hal-00242941_v1

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Related research
Keywords: Utilité; Préferences; Choix collectif;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Gevers, L. & Jacquemin, J. C., 1987. "Redistributive taxation, majority decisions and the minmax set," European Economic Review, Elsevier, vol. 31(1-2), pages 202-211. [Downloadable!] (restricted)
  2. Brams, S. J. & Jones, M. A. & Kilgour, M. D., 2001. "Single-Peakedness and Disconnected Coalitions," Working Papers 01-06, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  3. Milyo, Jeffrey, 2000. "A problem with Euclidean preferences in spatial models of politics," Economics Letters, Elsevier, vol. 66(2), pages 179-182, February. [Downloadable!] (restricted)
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  4. Philippe De Donder, 2000. "Majority voting solution concepts and redistributive taxation," Social Choice and Welfare, Springer, vol. 17(4), pages 601-627. [Downloadable!] (restricted)
  5. Davis, Otto A & DeGroot, Morris H & Hinich, Melvin J, 1972. "Social Preference Orderings and Majority Rule," Econometrica, Econometric Society, vol. 40(1), pages 147-57, January. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Vicki Knoblauch, 2008. "Recognizing a Single-Issue Spatial Election," Working papers 2008-26, University of Connecticut, Department of Economics. [Downloadable!]
  2. Tasos Kalandrakis, 2008. "Rationalizable Voting," Wallis Working Papers WP51, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
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This page was last updated on 2009-11-28.

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