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Maximal elements of non necessarily acyclic binary relations

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  • Josep Enric Peris Ferrando

    ()
    (Universidad de Alicante)

  • Begoña Subiza Martínez

    ()
    (Universidad de Alicante)

Abstract

The existence of maximal elements for binary preference relations is analyzed without imposing transitivity or convexity conditions. From each preference relation a new acyclic relation is defined in such a way that some maximal elements of this new relation characterize maximal elements of the original one. The result covers the case whereby the relation is acyclic.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1992-07.pdf
File Function: Fisrt version / Primera version, 1992
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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 1992-07.

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Length: 20 pages
Date of creation: Dec 1992
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1992-07

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Cited by:
  1. Salonen, Hannu & Vartiainen, Hannu, 2010. "On the existence of undominated elements of acyclic relations," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 217-221, November.
  2. Peris, Josep E. & Subiza, Begoña, 2012. "M-stability: A reformulation of Von Neumann-Morgenstern stability," QM&ET Working Papers 12-4, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.
  3. Andrikopoulos, Athanasios & Zacharias, Eleftherios, 2008. "General solutions for choice sets: The Generalized Optimal-Choice Axiom set," MPRA Paper 11645, University Library of Munich, Germany.
  4. Duggan, John, 2011. "General conditions for the existence of maximal elements via the uncovered set," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 755-759.
  5. Peris, Josep E. & Subiza, Begoña, 2013. "A reformulation of von Neumann–Morgenstern stability: m-stability," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 51-55.
  6. Subiza, Begoña & Peris, Josep, 2013. "A Solution for General Exchange Markets with Indivisible Goods when Indifferences Are Allowed," QM&ET Working Papers 12-18, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica, revised 12 Feb 2014.
  7. Begoña Subiza & Josep Peris, 2005. "Condorcet choice functions and maximal elements," Social Choice and Welfare, Springer, vol. 24(3), pages 497-508, 06.

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