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A topological proof of Terao's generalized Arrow's Impossibility Theorem
Published 26 Aug 2024 in math.CO, econ.TH, and math.AT | (2408.14263v1)
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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