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

E. IndurÂin, J. C. Candeal and Graciela Chichilnisky
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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

Social Choice and Welfare, 1997, vol. 14, issue 2, 333-343

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.

Date: 1997
Note: Received: 30 November 1994/Accepted: 22 April 1996
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