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On the Prevalence of Condorcet’s Paradox

Author

Listed:
  • Salvatore Barbaro

    (Johannes-Gutenberg University, Germany)

  • Anna-Sophie Kurella

    (University of Mannheim, Germany)

Abstract

The Condorcet paradox has been a significant focus of investigation since Kenneth Arrow rediscovered its importance for economic theory. Recent research on this phenomenon has oscillated between simulation studies, probability calculations based on hypothetical voter preferences, and empirical analyses often limited by unsatisfactory data. This paper presents the first comprehensive evaluation of 253 electoral polls conducted across 59 countries. Our findings demonstrate that the Condorcet paradox has virtually no empirical relevance: with only one exception, we find no evidence of cyclical majorities in any of the 253 elections. This result remains robust after statistical inference testing. Furthermore, this study provides insights into which parties are particularly likely to emerge as Condorcet winners and explores how these Condorcet winners assert themselves after elections.

Suggested Citation

  • Salvatore Barbaro & Anna-Sophie Kurella, 2025. "On the Prevalence of Condorcet’s Paradox," Working Papers 2501, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
  • Handle: RePEc:jgu:wpaper:2501
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    File URL: https://download.uni-mainz.de/RePEc/pdf/Discussion_Paper_2501.pdf
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    More about this item

    Keywords

    Elections; Condorcet Paradox; Condorcet Winner; Voting;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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