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Quaternary dichotomous voting rules

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  • Valenciano Llovera, Federico
  • Laruelle, Annick

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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Paper provided by Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number 2010-41.

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Date of creation: Jan 2010
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Handle: RePEc:ehu:ikerla:201041

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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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  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. Helios Herrera & Andrea Mattozzi, 2010. "Quorum and Turnout in Referenda," Journal of the European Economic Association, MIT Press, vol. 8(4), pages 838-871, 06.
  3. 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.
  4. Taylor Alan & Zwicker William, 1993. "Weighted Voting, Multicameral Representation, and Power," Games and Economic Behavior, Elsevier, vol. 5(1), pages 170-181, January.
  5. 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.
  6. MoshÊ Machover & Dan S. Felsenthal, 1997. "Ternary Voting Games," International Journal of Game Theory, Springer, vol. 26(3), pages 335-351.
  7. Laruelle,Annick & Valenciano,Federico, 2008. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521873871.
  8. MANIQUET, François & MORELLI, Massimo & ,, 2013. "Approval quorums dominate participation quorums," CORE Discussion Papers 2013054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  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. Laszlo A. Koczy & Miklos Pinter, 2011. "The men who weren't even there: Legislative voting with absentees," IEHAS Discussion Papers 1129, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Sascha Kurz & Nicola Maaser & Stefan Napel & Matthias Weber, 2014. "Mostly Sunny: A Forecast of Tomorrow's Power Index Research," Tinbergen Institute Discussion Papers 14-058/I, Tinbergen Institute.

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