Work

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

Year: 2024

Type: article

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.

Source: Social Choice and Welfare

DOI: 10.1007/s00355-024-01557-8

Author: Massimo D’Antoni

Institution: University of Siena

Language: English

Topic: Game Theory and Voting Systems

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Università degli Studi di Siena