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arXiv · 1907.10381

Arrow's Theorem Through a Fixpoint Argument

Frank M. V. Feys·Helle Hvid Hansen
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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.

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Frank M. V. Feys, Helle Hvid Hansen. 2019-07-22. Arrow's Theorem Through a Fixpoint Argument. https://doi.org/10.4204/eptcs.297.12

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