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Euclidean preferences

  • Anna Bogomolnaïa

    (Rice University [Houston] - Rice University)

  • Jean-François Laslier

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

This note is devoted to the question: How restrictive is the assumption that preferences be Euclidean in d dimensions. In particular it is proven that a preference profile with I individuals and A alternatives can be represented by Euclidean utilities with d dimensions if and only if d=min(I,A-1). The paper also describes the systems of A points which allow for the representation of any profile over A alternatives, and provides some results when only strict preferences are considered.

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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: https://hal.archives-ouvertes.fr/hal-00242941
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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. 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.
  3. 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.
  4. 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.
  5. Philippe De Donder, 2000. "Majority voting solution concepts and redistributive taxation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 601-627.
  6. 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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