期刊名称:Electronic Proceedings in Theoretical Computer Science
电子版ISSN:2075-2180
出版年度:2019
卷号:297
页码:175-188
DOI:10.4204/EPTCS.297.12
语种:English
出版社:Open Publishing Association
摘要:We 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.