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Freedom of Choice: The Leximax Criterion in the Infinite Case




Many recent works have investigated the problem of extending a preference over a set of alternatives to its power set, in an attempt to provide a formal representation of the notion of freedom of choice. In general, results are limited to the finite case, which excludes, for instance, the case of economic environments. This paper deals with the possibility of extending those results to the context where the basic set of alternatives is the n-dimensional Euclidean space. We present an extension of the leximax criterion described by Bossert, Pattanaik and Xu (1994) to this more general framework.

Suggested Citation

  • AR. Arlegi & AR. M. Besada & J. Nieto & AR. C. Vázquez, 2006. "Freedom of Choice: The Leximax Criterion in the Infinite Case," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0608, Departamento de Economía - Universidad Pública de Navarra.
  • Handle: RePEc:nav:ecupna:0608

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    References listed on IDEAS

    1. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On Ranking Opportunity Sets in Economic Environments," Journal of Economic Theory, Elsevier, vol. 93(1), pages 48-71, July.
    2. 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.
    3. Sen, A., 1991. "Markets And Freedoms," Harvard Institute of Economic Research Working Papers 1559, Harvard - Institute of Economic Research.
    4. Tjalling C. Koopmans, 1962. "On Flexibility of Future Preference," Cowles Foundation Discussion Papers 150, Cowles Foundation for Research in Economics, Yale University.
    5. Ricardo Arlegi & Jorge Nieto, 2001. "Ranking opportunity sets: An approach based on the preference for flexibility," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 23-36.
    6. 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.
    7. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    8. Sen, Amartya, 1988. "Freedom of choice : Concept and content," European Economic Review, Elsevier, vol. 32(2-3), pages 269-294, March.
    9. Sen, Amartya, 1991. "Welfare, preference and freedom," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 15-29, October.
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    More about this item


    preferences; utility; freedom of choice; leximax.;

    JEL classification:

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


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