A Topological Proof of The Gibbard-Satterthwaite Theorem

Yuliy Baryshnikov and Joseph Root

Papers from arXiv.org

Abstract: 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.

Date: 2023-09
New Economics Papers: this item is included in nep-mic
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