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Topological aggregation of preferences: the case of a continuum of agents

Author

Listed:
  • E. IndurÂin

    (Departmento de MatemÂtica e InformÂtica, Universidad Pßblica de Navarra, Campus ArrosadÎa s.n., E-31006 Pamplona, Spain)

  • J. C. Candeal

    (Departamento de AnÂlisis EconÕmico, Universidad de Zaragoza, Doctor Cerrada 1 y 3, E-50005 Zaragoza, Spain)

  • G. Chichilnisky

    (Department of Economics, Columbia University, 405 Law Memorial Library, New York, NY 10027, USA)

Abstract

This paper studies the topological approach to social choice theory initiated by G. Chichilnisky (1980), extending it to the case of a continuum of agents. The social choice rules are continuous anonymous maps defined on preference spaces which respect unanimity. We establish that a social choice rule exists for a continuum of agents if and only if the space of preferences is contractible. We provide also a topological characterization of such rules as generalized means or mathematical expectations of individual preferences.

Suggested Citation

  • E. IndurÂin & J. C. Candeal & G. Chichilnisky, 1997. "Topological aggregation of preferences: the case of a continuum of agents," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 333-343.
    • Handle: RePEc:spr:sochwe:v:14:y:1997:i:2:p:333-343
    Note: Received: 30 November 1994/Accepted: 22 April 1996
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    Cited by:

    1. Rongili Biswas & Nicolas Gravel & Rémy Oddou, 2013. "The segregative properties of endogenous formation of jurisdictions with a welfarist central government," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 293-319, July.
    2. Askoura, Youcef & Billot, Antoine, 2021. "Social decision for a measure society," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    3. Lauwers, Luc, 2000. "Topological social choice," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 1-39, July.
    4. Remy Oddou, 2017. "Welfarism and segregation in endogenous jurisdiction formation models," EconomiX Working Papers 2017-43, University of Paris Nanterre, EconomiX.
    5. Rémy Oddou, 2017. "Welfarism and segregation in endogenous jurisdiction formation models," Working Papers hal-04141624, HAL.
    6. Herden, G. & Pallack, A., 2005. "Induced families of choice probabilities," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 957-973, December.

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