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

Listed author(s):
  • 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)

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.

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Article provided by Springer & The Society for Social Choice and Welfare in its journal Social Choice and Welfare.

Volume (Year): 14 (1997)
Issue (Month): 2 ()
Pages: 333-343

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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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