From Condorcet’s paradox to Arrow: yet another simple proof of the impossibility theorem

Massimo D’Antoni ()
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Massimo D’Antoni: Università di Siena

Social Choice and Welfare, 2025, vol. 64, issue 4, No 9, 970 pages

Abstract: Abstract Condorcet exposed a limitation of majority-based pairwise comparison by showing that, for specific preference profiles over three alternatives, it leads to a contradiction. Arrow’s theorem is often introduced as a generalization of this finding. A novel formulation of the proof is presented that strictly adheres to this logic, establishing that for any non-dictatorial social choice rule, a contradiction-generating preference profile always exists and can be identified using a straightforward procedure.

Date: 2025
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DOI: 10.1007/s00355-024-01557-8

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