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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 2010-42, 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. 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.
    2. 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.
    3. 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.
    4. Vermeule, Adrian, 2007. "Absolute Majority Rules," British Journal of Political Science, Cambridge University Press, vol. 37(04), pages 643-658, October.
    5. 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.
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    Cited by:

    1. Hans Peter Grüner & Thomas Tröger, 2018. "Linear voting rules," CRC TR 224 Discussion Paper Series crctr224_002_2018, University of Bonn and University of Mannheim, Germany.
    2. Yoichi Hizen, 2015. "A referendum experiment with participation quorums," Working Papers SDES-2015-6, Kochi University of Technology, School of Economics and Management, revised Jan 2015.
    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.
    4. Marc Pauly, 2013. "Characterizing referenda with quorums via strategy-proofness," Theory and Decision, Springer, vol. 75(4), pages 581-597, October.
    5. Rodríguez Alcantud, José Carlos & Laruelle, Annick, 2016. "To disqualify or not to qualify: This is the other question," IKERLANAK Ikerlanak;2016-102, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    6. 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.

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