A topological proof of the Gibbard-Satterthwaite theorem

被引：0
|
作者：
Baryshnikov, Yuliy [1 ]
Root, Joseph [2 ,3 ]
机构：
[1] Univ Illinois, Dept Math, Champaign, IL USA
[2] Univ Chicago, Dept Econ, Chicago, IL USA
[3] 5757 S Univ Ave, Chicago, IL 60637 USA
来源：
ECONOMICS LETTERS | 2024年 / 234卷
关键词：
Social choice; Topological social choice; Mechanism design;
D O I：
10.1016/j.econlet.2023.111447
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We give a new proof of the Gibbard-Satterthwaite Theorem. We construct two topological spaces: one for the space of preference profiles and another for the space of outcomes. We show that social choice functions induce continuous mappings between the two spaces. By studying the properties of this mapping, we prove the theorem.
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页数：4
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