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

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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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  • R. Arlegi & M. Ballester & M. Besada & J.R. De Miguel & J. Nieto & C. Vázquez, 2006. "On the Equivalence of the Two Existing Extensions of the Leximax criterion to the Infinite Case," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0609, Departamento de Economía - Universidad Pública de Navarra.
    • Handle: RePEc:nav:ecupna:0609
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    1. 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.
    2. 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.
    3. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    4. Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    5. Miguel A. Ballester & Juan R. De Miguel, 2003. "Extending an order to the power set: The Leximax Criterion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 63-71, August.
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    More about this item

    Keywords

    preferences; utility; leximax;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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