A Topological Proof of The Gibbard-Satterthwaite Theorem

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Auteurs

Date

6 septembre 2023

Discipline

Type de document

Textes imprimés

Périmètre

Publications

Identifiant

2309.03123

Source

arXiv - économie

Collection

Organisation

Cornell University

Mots-clés Und

Economics - Theoretical Economics Mathematics - Algebraic Topology

Sujets proches En

Proof Economic theory Political economy

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Yuliy Baryshnikov et al., « A Topological Proof of The Gibbard-Satterthwaite Theorem », arXiv - économie

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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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