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Numerical Representation Of Acyclic Preferences

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  • Begoña Subiza Martínez

    ()
    (Universidad de Alicante)

Abstract

In this paper, it is shown that, under certain conditions on a preference relation defined on a set X, there exists a numerical representation by means of set-valued real functions. This kind of representation extends the usual utility function as well as the representation by means of two real functions. The continuity of this representation is also discussed.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1993-09.pdf
File Function: Fisrt version / Primera version, 1993
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1993-09.

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Length: 30 pages
Date of creation: Jan 1993
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1993-09

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References

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  1. Amparo Urbano Salvador & Larry Samuelson & Leonard J. Mirman, 1990. "Monopoly experimentation," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1990-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Mirman, Leonard J & Samuelson, Larry & Urbano, Amparo, 1993. "Monopoly Experimentation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(3), pages 549-63, August.
  2. Bridges, Douglas S., 1983. "Numerical representation of intransitive preferences on a countable set," Journal of Economic Theory, Elsevier, vol. 30(1), pages 213-217, June.
  3. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, Econometric Society, vol. 63(3), pages 647-66, May.
  4. Begoña Subiza Martínez & Carmen Herrero Blanco, 1992. "Numerical representation of partial orderings," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1992-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. Fishburn, P. C., 1983. "Utility functions on ordered convex sets," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 221-232, December.
  6. Antonio Villar Notario & Carmen Herrero Blanco, 1990. "Vector mappings with diagonal images," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1990-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. Corchon, Luis C., 1991. "Oligopolistic competition among groups," Economics Letters, Elsevier, vol. 36(1), pages 1-3, May.
  8. Begoña Subiza Martínez & Carmen Herrero Blanco, 1991. "A characterization of acyclic preferences on countable sets," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1991-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  9. Carmen Herrero Blanco & José Manuel Gutiérrez Díez, 1990. "Lagrangean conditions for general optimization problems with applications to consumer theory," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1990-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  10. Peleg, Bezalel, 1970. "Utility Functions for Partially Ordered Topological Spaces," Econometrica, Econometric Society, Econometric Society, vol. 38(1), pages 93-96, January.
  11. Bridges, Douglas S., 1983. "A numerical representation of preferences with intransitive indifference," Journal of Mathematical Economics, Elsevier, vol. 11(1), pages 25-42, January.
  12. Chateauneuf, Alain, 1987. "Continuous representation of a preference relation on a connected topological space," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 139-146, April.
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Cited by:
  1. Alejandro Islas-Camargo & Willy W. Cortez, 2004. "Convergencia salarial entre las principales ciudades mexicanas: Un analisis de cointegracion," EconoQuantum, Revista de Economia y Negocios, Universidad de Guadalajara, Centro Universitario de Ciencias Economico Administrativas, Departamento de Metodos Cuantitativos y Maestria en Economia., vol. 1(0), pages 25-47, Enero - J.
  2. Marc-Arthur Diaye & Michal Wong-Urdanivia, 2005. "A simple test of Richter-rationality," Cahiers de la Maison des Sciences Economiques, Université Panthéon-Sorbonne (Paris 1) b06008, Université Panthéon-Sorbonne (Paris 1).
  3. José Alcalde, 1995. "Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1995-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Martín Browning, 1993. "Dual approaches to utility," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1993-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. repec:hal:journl:halshs-00084390 is not listed on IDEAS
  6. Marc-Arthur Diaye & Michal Wong-Urdanivia, 2006. "A Simple Test of Richter-Rationality," Documents de recherche, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne 06-01, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
  7. Leobardo Plata-Perez, 2004. "A numerical representation of acyclic preferences when non-comparability and indifference are concepts with different meaning," EconoQuantum, Revista de Economia y Negocios, Universidad de Guadalajara, Centro Universitario de Ciencias Economico Administrativas, Departamento de Metodos Cuantitativos y Maestria en Economia., vol. 1(0), pages 17-23, Enero - J.

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