Arrow's Theorem Through a Fixpoint Argument

Arrow's Theorem Through a Fixpoint Argument

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 fix...

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Bibliographic Details
Published in:Electronic proceedings in theoretical computer science Vol. 297; no. Proc. TARK 2019; pp. 175 - 188
Main Authors: Feys, Frank M. V., Hansen, Helle Hvid
Format: Journal Article
Language:English
Published: Open Publishing Association 19-07-2019
Online Access:Get full text
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Summary: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.
ISSN:2075-2180
2075-2180
DOI:10.4204/EPTCS.297.12