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Extending an order to the power set: The Leximax Criterion

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  • Miguel A. Ballester
  • Juan R. De Miguel

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. Copyright Springer-Verlag 2003

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:21:y:2003:i:1:p:63-71
    DOI: 10.1007/s00355-003-0201-6
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    Cited by:

    1. Ballester, Miguel A. & de Miguel, Juan R. & Nieto, Jorge, 2004. "Set comparisons in a general domain: the Indirect Utility Criterion," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 139-150, September.
    2. Ricardo Arlegi, 2005. "Freedom Of Choice And Conflict Resolution," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0502, Departamento de Economía - Universidad Pública de Navarra.
    3. Jorge Alcalde-Unzu & Ricardo Arlegi & Jorge Nieto, 2007. "Cardinality-based equality of opportunities," Review of Economic Design, Springer;Society for Economic Design, vol. 10(4), pages 285-304, March.
    4. Arlegi, R. & Ballester, M. & Besada, M. & De Miguel, J.R. & Nieto, J. & Vazquez, C., 2007. "On the equivalence of the two existing extensions of the leximax criterion to the infinite case," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 238-243, December.
    5. Ballester, Miguel A. & De Miguel, Juan R., 2006. "On freedom of choice and infinite sets: The Suprafinite Rule," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 291-300, June.

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