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Topological aggregation of preferences: the case of a continuum of agents |
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| Authors: | J. C. Candeal G. Chichilnisky E. Induráin |
| Affiliation: | (1) Departamento de Análisis Económico, Universidad de Zaragoza, Doctor Cerrada 1 y 3, E-50005 Zaragoza, Spain, ES;(2) Department of Economics, Columbia University, 405 Law Memorial Library, New York, NY 10027, USA, US;(3) Departmento de Matemática e Informática, Universidad Pública de Navarra, Campus Arrosadía s.n., E-31006 Pamplona, Spain, ES |
| 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. Received: 30 November 1994/Accepted: 22 April 1996 |
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