A Reexamination of Proof Approaches for the Impossibility Theorem

Kazuya Yamamoto

Papers from arXiv.org

Abstract: Revised proofs of Kenneth Arrow's impossibility theorem have been presented in prose form, incorporating novel ideas such as decisive sets and pivotal voters. This study develops another approach to proving the theorem. Using a proof calculus in formal logic, we construct a proof with a full mathematical representation. While previous proofs emphasize intuitive accessibility, this one focuses on meticulous derivation and reveals the global structure of the social welfare function central to the theorem.

Date: 2023-09, Revised 2025-09
New Economics Papers: this item is included in nep-ger and nep-mic
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