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Majorities with a quorum

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  • Valenciano Llovera, Federico
  • Laruelle, Annick

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.

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Bibliographic Info

Paper provided by Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number 2010-42.

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Date of creation: Jan 2010
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Handle: RePEc:ehu:ikerla:201042

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Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
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References

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  1. 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.
  2. Valenciano Llovera, Federico & Laruelle, Annick, 2010. "Quaternary dichotomous voting rules," IKERLANAK 2010-41, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  3. MoshÊ Machover & Dan S. Felsenthal, 1997. "Ternary Voting Games," International Journal of Game Theory, Springer, vol. 26(3), pages 335-351.
  4. 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.
  5. Josep Freixas & William S. Zwicker, 2003. "Weighted voting, abstention, and multiple levels of approval," Social Choice and Welfare, Springer, vol. 21(3), pages 399-431, December.
  6. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638, October.
  7. Paulo P. Côrte-Real & Paulo T. Pereira, 2004. "The voter who wasn’t there: Referenda, representation and abstention," Social Choice and Welfare, Springer, vol. 22(2), pages 349-369, 04.
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Cited by:
  1. Artabe, Alaitz & Laruelle, Annick & Valenciano Llovera, Federico, 2011. "Preferences, actions and voting rules," IKERLANAK 2011-48, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  2. Marc Pauly, 2013. "Characterizing referenda with quorums via strategy-proofness," Theory and Decision, Springer, vol. 75(4), pages 581-597, October.
  3. Luís Francisco Aguiar-Conraria & Pedro C. Magalhães & Christoph A. Vanberg, 2013. "Experimental evidence that quorum rules discourage turnout and promote election boycotts," NIPE Working Papers 14/2013, NIPE - Universidade do Minho.

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