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Euclidean preferences

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Author Info

  • Anna Bogomolnaïa

    (Rice University)

  • Jean-François Laslier

    (CECO - Laboratoire d'econometrie de l'école polytechnique - CNRS : UMR7657 - Polytechnique - X)

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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Bibliographic Info

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

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

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00242941/en/
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Related research

Keywords: Utilité; Préferences; Choix collectif;

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References

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  1. Milyo, Jeffrey, 2000. "A problem with Euclidean preferences in spatial models of politics," Economics Letters, Elsevier, vol. 66(2), pages 179-182, February.
  2. Philippe De Donder, 2000. "Majority voting solution concepts and redistributive taxation," Social Choice and Welfare, Springer, vol. 17(4), pages 601-627.
  3. 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.
  4. McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
  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.
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Citations

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Cited by:
  1. Marc Henry & Ismael Mourifie, 2011. "Euclidean Revealed Preferences: Testing the Spatial Voting Model," CIRJE F-Series CIRJE-F-822, CIRJE, Faculty of Economics, University of Tokyo.
  2. Eckert, Daniel & Klamler, Christian, 2010. "An equity-efficiency trade-off in a geometric approach to committee selection," European Journal of Political Economy, Elsevier, vol. 26(3), pages 386-391, September.
  3. Vicki Knoblauch, 2008. "Recognizing One-Dimensional Euclidean Preference Profiles," Working papers 2008-52, University of Connecticut, Department of Economics.
  4. Azrieli, Yaron, 2011. "Axioms for Euclidean preferences with a valence dimension," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 545-553.
  5. Vicki Knoblauch, 2008. "Recognizing a Single-Issue Spatial Election," Working papers 2008-26, University of Connecticut, Department of Economics.
  6. Tasos Kalandrakis, 2008. "Rationalizable Voting," Wallis Working Papers WP51, University of Rochester - Wallis Institute of Political Economy.
  7. Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.

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