arXiv Open Access 2023

A Topological Proof of The Gibbard-Satterthwaite Theorem

Yuliy Baryshnikov Joseph Root

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

econ.TH math.AT

Penulis (2)

Yuliy Baryshnikov

Joseph Root

Format Sitasi

APA MLA BibTeX

Baryshnikov, Y., Root, J. (2023). A Topological Proof of The Gibbard-Satterthwaite Theorem. https://arxiv.org/abs/2309.03123

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓