Topological social choice
نویسندگان
چکیده
منابع مشابه
Topological Social Choice Topological Social Choice
The topological approach to social choice was developed by Graciela Chichilnisky in the beginning of the eighties. The main result in this area (known as the resolution of the topological social choice paradox) shows that a space of preferences admits of a continuous, anonymous, and unanimous aggregation rule for every number of individuals if and only if the space is contractible. Furthermore,...
متن کاملTopological social choice
The topological approach to social choice was developed by Graciela Chichilnisky in the beginning of the 1980s. The main result in this area (known as the resolution of the topological social choice paradox) shows that a space of preferences admits of a continuous, anonymous, and unanimous aggregation rule for every number of individuals if and only if this space is contractible. Furthermore, c...
متن کاملOn the topological social choice model
The main goal of this paper is to show that if a finite connected CW complex admits a continuous, symmetric, and unanimous choice function for some number n41 of agents, then the choice space is contractible. On the other hand, if one removes the finiteness, we give a complete characterization of the possible spaces; in particular, noncontractible spaces are indeed possible. These results exten...
متن کاملResolving the Topological Social Choice Paradox
1.1. Topological Social Choice Theory. Social choice theory aims to understand the nature of, and provide methods for, the aggregation of individual preferences to yield a social preference which is fair and satisfactory to individual voters on an axiomatic ground. An important example of this is in popular elections. In the 1980s, Chichilnisky and colleagues developed a topological approach pi...
متن کاملTopological Social Choice : Reply to Le Breton and Uriarte
In a recent paper Le Breton and Uriarte (1990), hereafter LBU, offer a critique of Chichilnisky's (1979, 1980, 1982) impossibility theorem. Of the many statements of Chichilnisky's theorem, they single out Baigent's (1984, 1985) as incorrect. The first purpose of this note is to reply to this claim and argue that Baigent's formulation is not only formally correct, but also the most expeditious ...
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ژورنال
عنوان ژورنال: Mathematical Social Sciences
سال: 2000
ISSN: 0165-4896
DOI: 10.1016/s0165-4896(99)00036-0