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A characterization of acyclic preferences on countable sets

  • Begoña Subiza Martínez

    ()

    (Universidad de Alicante)

  • Carmen Herrero Blanco

    (Instituto Valenciano de Investigaciones Económicas)

In this paper a new numerical representation of preferences (by means of set-valued real functions) is proposed. Our representation extends the usual utility function (in case preferences are preorder-type) as well as the pairwise representation (in case preferences are interval-order type). Then, we provide a characterization of acyclic preference relations on countable sets as those admitting a set-valued numerical representation.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1991-01.pdf
File Function: Fisrt version / Primera version, 1991
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Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1991-01.

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Length: 21 pages
Date of creation: Jan 1991
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1991-01
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  1. Antonio Villar Notario & Carmen Herrero Blanco, 1990. "Vector mappings with diagonal images," Working Papers. Serie AD 1990-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Bridges, Douglas S., 1983. "A numerical representation of preferences with intransitive indifference," Journal of Mathematical Economics, Elsevier, vol. 11(1), pages 25-42, January.
  3. Bergstrom, Theodore C., 1975. "Maximal elements of acyclic relations on compact sets," Journal of Economic Theory, Elsevier, vol. 10(3), pages 403-404, June.
  4. 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.
  5. Bridges, Douglas S., 1985. "Representing interval orders by a single real-valued function," Journal of Economic Theory, Elsevier, vol. 36(1), pages 149-155, June.
  6. 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.
  7. 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.
  8. Donald J. Brown, 1973. "Acyclic Choice," Cowles Foundation Discussion Papers 360, Cowles Foundation for Research in Economics, Yale University.
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