Year: 2019
Type: article
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.
DOI: 10.4204/eptcs.297.12
Authors: Frank M. V. Feys, Helle Hvid Hansen
Institution: Delft University of Technology
Language: English
Subfield: Economics and Econometrics
Domain: Social Sciences
Open Access status: diamond
OpenAlex ID: W2963033278