Arrow's Theorem Through a Fixpoint Argument

• Tác giả: Frank M. V Feys, Helle Hvid Hansen
• Ngôn ngữ: eng
• Ký hiệu phân loại: 511.36 Proof theory and constructive mathematics
• Thông tin xuất bản: 2019
• Bộ sưu tập: Báo, Tạp chí
• ID: 163133

Tóm tắt

Comment: In Proceedings TARK 2019, arXiv:1907.08335We present a proof of Arrow's theorem from social choice theory that uses a fixpoint argument. Specifically, we use Banach's result on the existence of a fixpoint of a contractive map defined on a complete metric space. Conceptually, our approach shows that dictatorships can be seen as fixpoints of a certain process.