Arrow's Theorem Through a Fixpoint Argument

Frank M. V. Feys and Helle Hvid Hansen
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Frank M. V. Feys: Delft University of Technology
Helle Hvid Hansen: Delft University of Technology

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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.

Date: 2019-07
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Published in EPTCS 297, 2019, pp. 175-188

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1907.10381

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