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Majorities with a quorum

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  • Laruelle, Annick
  • Valenciano Llovera, Federico

Abstract

Based on a general model of "quaternary" voting rule, sensitive to voters' choices between four different options (abstaining, voting "yes", voting "no" and staying home), we systematically study different types of majority and quorum. The model allows for a precise formulation of majority rules and quorum constraints. For such rules four types of majority can be defined. We also consider four types of quorum. Then we study the possible combinations of a majority system with a type of quorum and provide examples from rules actually used in parliaments.

Suggested Citation

  • Laruelle, Annick & Valenciano Llovera, Federico, 2010. "Majorities with a quorum," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    • Handle: RePEc:ehu:ikerla:6413
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    References listed on IDEAS

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    1. François Maniquet & Massimo Morelli, 2015. "Approval quorums dominate participation quorums," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 1-27, June.
    2. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638.
    3. Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), 2009. "The Mathematics of Preference, Choice and Order," Studies in Choice and Welfare, Springer, number 978-3-540-79128-7, July.
    4. Paulo P. Côrte-Real & Paulo T. Pereira, 2004. "The voter who wasn’t there: Referenda, representation and abstention," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 349-369, April.
    5. Keith L. Dougherty & Julian Edward, 2010. "The Properties of Simple Vs. Absolute Majority Rule: Cases Where Absences and Abstentions Are Important," Journal of Theoretical Politics, , vol. 22(1), pages 85-122, January.
    6. Thomas Palfrey & Howard Rosenthal, 1983. "A strategic calculus of voting," Public Choice, Springer, vol. 41(1), pages 7-53, January.
    7. Freixas, Josep & Zwicker, William S., 2009. "Anonymous yes-no voting with abstention and multiple levels of approval," Games and Economic Behavior, Elsevier, vol. 67(2), pages 428-444, November.
    8. William S. Zwicker, 2009. "Anonymous Voting Rules with Abstention: Weighted Voting," Studies in Choice and Welfare, in: Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), The Mathematics of Preference, Choice and Order, pages 239-258, Springer.
    9. Josep Freixas & William S. Zwicker, 2003. "Weighted voting, abstention, and multiple levels of approval," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 399-431, December.
    10. Vermeule, Adrian, 2007. "Absolute Majority Rules," British Journal of Political Science, Cambridge University Press, vol. 37(4), pages 643-658, October.
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    Cited by:

    1. Yoichi Hizen, 2021. "A Referendum Experiment with Participation Quorums," Kyklos, Wiley Blackwell, vol. 74(1), pages 19-47, February.
    2. Darmann, Andreas & Grundner, Julia & Klamler, Christian, 2019. "Evaluative voting or classical voting rules: Does it make a difference? Empirical evidence for consensus among voting rules," European Journal of Political Economy, Elsevier, vol. 59(C), pages 345-353.
    3. Alaitz Artabe & Annick Laruelle & Federico Valenciano, 2012. "Preferences, actions and voting rules," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 15-28, March.
      • Artabe Echevarria, Alaitz & Laruelle, Annick & Valenciano Llovera, Federico, 2011. "Preferences, actions and voting rules," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    4. Luís Aguiar-Conraria & Pedro C. Magalhães & Christoph A. Vanberg, 2020. "What are the best quorum rules? A laboratory investigation," Public Choice, Springer, vol. 185(1), pages 215-231, October.
    5. Andreas Darmann & Julia Grundner & Christian Klamler, 2017. "Consensus in the 2015 Provincial Parliament Election in Styria, Austria: Voting Rules,Outcomes, and the Condorcet Paradox," Graz Economics Papers 2017-13, University of Graz, Department of Economics.
    6. Marc Pauly, 2013. "Characterizing referenda with quorums via strategy-proofness," Theory and Decision, Springer, vol. 75(4), pages 581-597, October.
    7. repec:awi:wpaper:0671 is not listed on IDEAS
    8. Hans Peter Grüner & Thomas Tröger, 2019. "Linear Voting Rules," Econometrica, Econometric Society, vol. 87(6), pages 2037-2077, November.
    9. Terzopoulou, Zoi, 2020. "Quota rules for incomplete judgments," Mathematical Social Sciences, Elsevier, vol. 107(C), pages 23-36.
    10. Rodríguez Alcantud, José Carlos & Laruelle, Annick, 2016. "To disqualify or not to qualify: This is the other question," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    11. Dmitriy Vorobyev & Azamat Valei & Andrei Matveenko, 2023. "Approval vs. Participation Quorums," CRC TR 224 Discussion Paper Series crctr224_2023_438, University of Bonn and University of Mannheim, Germany.

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