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Extending an order to the power set: The Leximax Criterion

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Abstract.

This work analyzes the issue of ranking the levels of well-being enjoyed by an agent when dealing with her opportunity set in a freedom of choice context. We try to propose a natural extension of a preference relation over a (possibly) infinite set X to its power set, compatible with the finite Leximax criterion.

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Authors and Affiliations

  1. Departamento de Economía, Universidad Pública de Navarra, Campus Arrosadia, 31006, Pamplona, Spain

    Miguel A. Ballester

  2. Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus Arrosadia, 31006, Pamplona, Spain

    Juan R. De Miguel

Authors
  1. Miguel A. Ballester
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  2. Juan R. De Miguel
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Corresponding author

Correspondence to Juan R. De Miguel.

Additional information

This research has been supported by Comisión Interministerial de Ciencia y Tecnología, SEC2000-0838 (Ballester), and Dirección General de Enseñanza Superior e Investigación Científica, PB98-0551 (De Miguel).

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Ballester, M., De Miguel, J. Extending an order to the power set: The Leximax Criterion. Soc Choice Welfare 21, 63–71 (2003). https://doi.org/10.1007/s00355-003-0201-6

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  • DOI: https://doi.org/10.1007/s00355-003-0201-6

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