On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem when individual preferences are weak orders-Reference-Cited by-同舟云学术

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On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem when individual preferences are weak orders

Published:2009-03 Issue:3-4 Volume:45 Page:241-249
ISSN:0304-4068
Container-title:Journal of Mathematical Economics
language:en
Short-container-title:Journal of Mathematical Economics

Author:

Tanaka Yasuhito

Publisher

Elsevier BV

Subject

Applied Mathematics,Economics and Econometrics

Reference19 articles.

1. Social Choice and Individual Values;Arrow,1963

2. Unifying impossibility theorems: a topological approach;Baryshnikov;Advances in Applied Mathematics,1993

3. Topological and discrete choice: in search of a theory;Baryshnikov;Social Choice and Welfare,1997

4. On fixed points and social choice paradoxes;Chichilnisky;Economics Letters,1979

5. Social choice and the topology of spaces of preferences;Chichilnisky;Advances in Mathematics,1980

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Distributed Combinatorial Topology Approach to Arrow's Impossibility Theorem;Proceedings of the 2022 ACM Symposium on Principles of Distributed Computing;2022-07-20

2. Topological aggregation, the twin paradox and the No Show paradox;Social Choice and Welfare;2017-02-06

3. Bounded response of aggregated preferences;Journal of Mathematical Economics;2016-08

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