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Euclidean preferences

  • Bogomolnaia, Anna
  • Laslier, Jean-Francois

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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File URL: http://www.sciencedirect.com/science/article/B6VBY-4M5WJ53-1/2/d333193bc85de1143220ae3f7aed0e27
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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 43 (2007)
Issue (Month): 2 (February)
Pages: 87-98

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Handle: RePEc:eee:mateco:v:43:y:2007:i:2:p:87-98
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  1. 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.
  2. Milyo, Jeffrey, 2000. "A problem with Euclidean preferences in spatial models of politics," Economics Letters, Elsevier, vol. 66(2), pages 179-182, February.
  3. Philippe De Donder, 2000. "Majority voting solution concepts and redistributive taxation," Social Choice and Welfare, Springer, vol. 17(4), pages 601-627.
  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. 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.
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