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Majority principle and indeterminacy in German elections

Author

Listed:
  • Salvatore Barbaro

    (Johannes Gutenberg University Mainz)

  • Nils D. Steiner

    (Johannes Gutenberg University Mainz)

Abstract

Out of the many possible voting schemes, the notoriously-used plurality rule is far from being the best. Previous research from France and the US reveals how plurality winners fall short of majority support. Therefore, eminent scholars advocate the simple-majority rule. The latter, however, faces the threat of indeterminacy due to cycling patterns. To contribute to the scarce evidence on the empirical occurrence of these phenomena, we used survey data from the 2017 German election to simulate preference orderings on district candidates. We find that violations of the majority principle are frequent. Conversely, we do not uncover any indeterminacy.

Suggested Citation

  • Salvatore Barbaro & Nils D. Steiner, 2022. "Majority principle and indeterminacy in German elections," Working Papers 2202, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
  • Handle: RePEc:jgu:wpaper:2202
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    References listed on IDEAS

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    1. Adrian Van Deemen, 1999. "The probability of the paradox of voting for weak preference orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 171-182.
    2. Carlos Alós-Ferrer & Ðura-Georg Granić, 2012. "Two field experiments on Approval Voting in Germany," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 171-205, June.
    3. William Gehrlein, 2002. "Condorcet's paradox and the likelihood of its occurrence: different perspectives on balanced preferences ," Theory and Decision, Springer, vol. 52(2), pages 171-199, March.
    4. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
    5. Tolvanen, Juha & Tremewan, James & Wagner, Alexander K., 2022. "Ambiguous Platforms and Correlated Preferences: Experimental Evidence," American Political Science Review, Cambridge University Press, vol. 116(2), pages 734-750, May.
    6. Kurrild-Klitgaard, Peter, 2001. "An Empirical Example of the Condorcet Paradox of Voting in a Large Electorate," Public Choice, Springer, vol. 107(1-2), pages 135-145, April.
    7. Partha Dasgupta & Eric Maskin, 2020. "Strategy-Proofness, Independence of Irrelevant Alternatives, and Majority Rule," American Economic Review: Insights, American Economic Association, vol. 2(4), pages 459-474, December.
    8. Thom Bezembinder & Hans Maassen, 2002. "Generating random weak orders and the probability of a Condorcet winner," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 517-532.
    9. Michel Regenwetter & Bernard Grofman, 1998. "Approval Voting, Borda Winners, and Condorcet Winners: Evidence from Seven Elections," Management Science, INFORMS, vol. 44(4), pages 520-533, April.
    10. Andreas Kleiner & Benny Moldovanu, 2021. "Voting Agendas and Preferences on Trees: Theory and Practice," CRC TR 224 Discussion Paper Series crctr224_2021_289, University of Bonn and University of Mannheim, Germany.
    11. Ilia Tsetlin & Michel Regenwetter & Bernard Grofman, 2003. "The impartial culture maximizes the probability of majority cycles," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 387-398, December.
    12. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
    13. Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 381-393.
    14. Ray, Paramesh, 1973. "Independence of Irrelevant Alternatives," Econometrica, Econometric Society, vol. 41(5), pages 987-991, September.
    15. Donald Saari, 2010. "Systematic analysis of multiple voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(2), pages 217-247, February.
    16. Amartya Sen, 2020. "Majority decision and Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 211-217, March.
    17. Amartya Sen, 1995. "How to Judge Voting Schemes," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 91-98, Winter.
    18. Andreas Kleiner & Benny Moldovanu, 2022. "Voting Agendas and Preferences on Trees: Theory and Practice," American Economic Journal: Microeconomics, American Economic Association, vol. 14(4), pages 583-615, November.
    19. Eric S. Maskin, 2014. "How Should We Elect Our Leaders?," Palgrave Macmillan Books, in: Robert M. Solow & Janice Murray (ed.), Economics for the Curious, chapter 0, pages 159-169, Palgrave Macmillan.
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    More about this item

    Keywords

    Elections; Plurality voting; simple-majority rule; indeterminacy;
    All these keywords.

    JEL classification:

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

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