A topological proof of the Gibbard–Satterthwaite theorem

Yuliy Baryshnikov, Joseph Root

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number111447
JournalEconomics Letters
Volume234
DOIs
StatePublished - Jan 2024

Keywords

  • Mechanism design
  • Social choice
  • Topological social choice

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics

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