A topological proof of the Gibbard–Satterthwaite theorem

Yuliy Baryshnikov and Joseph Root

Economics Letters, 2024, vol. 234, issue C

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.

Keywords: Social choice; Topological social choice; Mechanism design (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:234:y:2024:i:c:s0165176523004731

DOI: 10.1016/j.econlet.2023.111447

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