寺尾广义阿罗不可能性定理的拓扑证明

arXiv - ECON - Theoretical Economics Pub Date : 2024-08-26 DOI:arxiv-2408.14263

Takuma Okura

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引用次数: 0

摘要

在寺尾[24]中，寺尾宏明定义并研究了 "可容许映射"，它是 "社会福利函数 "在超平面排列中的一般化。据此，他利用组合论证证明了广义的阿罗不可能性定理。本文利用代数拓扑学的思想，为这一广义的阿罗不可能性定理提供了另一个证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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arXiv - ECON - Theoretical Economics

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