A topological proof of Terao's generalized Arrow's Impossibility Theorem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913480757477376 |
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| author | Okura, Takuma |
| author_facet | Okura, Takuma |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14263 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A topological proof of Terao's generalized Arrow's Impossibility Theorem Okura, Takuma Combinatorics Theoretical Economics Algebraic Topology 32S22, 91B14 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. |
| title | A topological proof of Terao's generalized Arrow's Impossibility Theorem |
| topic | Combinatorics Theoretical Economics Algebraic Topology 32S22, 91B14 |
| url | https://arxiv.org/abs/2408.14263 |