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Quaternary dichotomous voting rules

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  • Annick Laruelle

    ()

  • Federico Valenciano

    ()

Abstract

In this paper we provide a general model of "quaternary" dichotomous voting rules (QVRs), namely, voting rules for making collective dichotomous decisions (to accept or reject a proposal), based on vote profiles in which four options are available to each voter: voting ("yes", "no" or "abstaining") or staying home and not turning out. The model covers most of actual real-world dichotomus rules, where quorums are often required, and some of the extensions considered in the literature. In particular, we address and solve the question of the representability of QVRs by means of weighted rules and extend the notion of "dimension" of a rule.

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File URL: http://hdl.handle.net/10.1007/s00355-011-0538-1
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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 38 (2012)
Issue (Month): 3 (March)
Pages: 431-454

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Handle: RePEc:spr:sochwe:v:38:y:2012:i:3:p:431-454

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References

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  1. MoshÊ Machover & Dan S. Felsenthal, 1997. "Ternary Voting Games," International Journal of Game Theory, Springer, vol. 26(3), pages 335-351.
  2. Paulo P. Corte-Real & Paulo Trigo Pereira, 2002. "The voter who wasn't there: Referenda, Representation and Abstention," Working Papers Department of Economics 2002/04, ISEG - School of Economics and Management, Department of Economics, University of Lisbon.
  3. Francois Maniquet & Massimo Morelli, 2010. "Approval Quorums Dominate Participation Quorums," Economics Working Papers ECO2010/13, European University Institute.
  4. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638, November.
  5. Helios Herrera & Andrea Mattozzi, 2010. "Quorum and Turnout in Referenda," Journal of the European Economic Association, European Economic Association, vol. 8(4), pages 838-871, 06.
  6. 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.
  7. Taylor Alan & Zwicker William, 1993. "Weighted Voting, Multicameral Representation, and Power," Games and Economic Behavior, Elsevier, vol. 5(1), pages 170-181, January.
  8. 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.
  9. 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.
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Cited by:
  1. 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.
  2. Alaitz Artabe & Annick Laruelle & Federico Valenciano, 2012. "Preferences, actions and voting rules," SERIEs, Spanish Economic Association, vol. 3(1), pages 15-28, March.
  3. László Á. Kóczy & Miklós Pintér, 2011. "The men who weren't even there: Legislative voting with absentees," Working Paper Series 1104, Óbuda University, Keleti Faculty of Business and Management.
  4. Guemmegne, Juliette & Pongou, Roland, 2013. "A Policy-Based Rationalization of Collective Rules: Dimensionality, Specialized Houses, and Decentralized Authority," MPRA Paper 46019, University Library of Munich, Germany.
  5. Annick Lamelle & Federico Valenciano, 2011. "Majorities with a quorum," Journal of Theoretical Politics, , vol. 23(2), pages 241-259, April.
    • Valenciano Llovera, Federico & Laruelle, Annick, 2010. "Majorities with a quorum," IKERLANAK 2010-42, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.

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