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On the Equivalence of the Two Existing Extensions of the Leximax criterion to the Infinite Case

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Author Info

  • R. Arlegi

    ()
    (Departamento de Economía-UPNA)

  • M. Ballester

    (Universidad Autónoma de Barcelona)

  • M. Besada

    (Universidad de Vigo)

  • J.R. De Miguel

    ()
    (Departamento de Matemáticas-UPNA)

  • J. Nieto

    ()
    (Departamento de Economía-UPNA)

  • C. Vázquez

    (Universidad de Vigo)

Abstract

Using a common framework, we consider the two existing extensions of the leximax criterion to infinite environments (Arlegi et al. (2005) and Ballester and De Miguel (2003)), and show that, though the respective definitions of the rules and their axiomatic characterizations appear to differ considerably, they actually propose the same extension of the leximax criterion to the infinite case.

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File URL: ftp://ftp.econ.unavarra.es/pub/DocumentosTrab/DT0609.PDF
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Bibliographic Info

Paper provided by Departamento de Economía - Universidad Pública de Navarra in its series Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra with number 0609.

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Length: pages
Date of creation: 2006
Date of revision:
Publication status: Published in
Handle: RePEc:nav:ecupna:0609

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Keywords: preferences; utility; leximax;

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  1. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
  2. Miguel A. Ballester & Juan R. De Miguel, 2003. "Extending an order to the power set: The Leximax Criterion," Social Choice and Welfare, Springer, vol. 21(1), pages 63-71, 08.
  3. Bossert Walter & Pattanaik Prasanta K. & Xu Yongsheng, 1994. "Ranking Opportunity Sets: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 63(2), pages 326-345, August.
  4. Arlegi, R. & Besada, M. & Nieto, J. & Vazquez, C., 2005. "Freedom of choice: the leximax criterion in the infinite case," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 1-15, January.
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