Arrow's Theorem Through a Fixpoint Argument
Theoretical Economics
2019-07-25 v1 Logic in Computer Science
Abstract
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.
Cite
@article{arxiv.1907.10381,
title = {Arrow's Theorem Through a Fixpoint Argument},
author = {Frank M. V. Feys and Helle Hvid Hansen},
journal= {arXiv preprint arXiv:1907.10381},
year = {2019}
}
Comments
In Proceedings TARK 2019, arXiv:1907.08335