Topological aggregation of preferences: the case of a continuum of agents
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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Volume (Year): 14 (1997)
Issue (Month): 2 ()
|Note:||Received: 30 November 1994/Accepted: 22 April 1996|
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