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arXiv · 2408.14263

A topological proof of Terao's generalized Arrow's Impossibility Theorem

Takuma Okura
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Abstract

In Terao [24], Hiroaki Terao defined and studied "admissible map", which is a generalization of "social welfare function" in the context of hyperplane arrangements. Using this, he proved a generalized Arrow's Impossibility Theorem using combinatorial arguments. This paper provides another proof of this generalized Arrow's Impossibility Theorem, using the idea of algebraic topology.

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Takuma Okura. 2024-08-26. A topological proof of Terao's generalized Arrow's Impossibility Theorem. https://arxiv.org/abs/2408.14263

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