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Some issues related to the topological aggregation of preferences

✍ Scribed by Juan Carlos Candeal; Esteban Induráin; José Ramón Uriarte

Publisher
Springer
Year
1992
Tongue
English
Weight
768 KB
Volume
9
Category
Article
ISSN
0176-1714

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✦ Synopsis

This paper deals with the topological approach to social choice theory initiated by Chichilnisky. We study several issues concerning the existence and uniqueness of Chichilnisky rules defined on preference spaces. We show that on topological vector spaces the only additive, anonymous, and unanimous aggregation n-rule is the convex mean. We study the case of infinite agents and show that an infinite Chichilnisky rule might be considered as the limit of rules for finitely many agents. Finally, we show that under some restrictions on the preference space, the existence of a Chichilnisky rule for every finite case implies the existence of a weak Chichilnisky rule for the infinite case.

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