Arrow’s Theorem Through a Fixpoint Argument
Conference Paper
(2019)
Research Group
Energy and Industry
Copyright
© 2019 F.M.V. Feys, H.H. Hansen
DOI related publication
https://doi.org/10.4204/EPTCS.297.12
To reference this document use:
https://resolver.tudelft.nl/uuid:cd028766-e27f-4c48-a327-a4c2cb6abfe1
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Publication Year
2019
Language
English
Copyright
© 2019 F.M.V. Feys, H.H. Hansen
Research Group
Energy and Industry
Volume number
297
Pages (from-to)
175-188
Reuse Rights
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
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.
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