Quaternary dichotomous voting rules
AbstractIn 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number 2010-41.
Date of creation: Jan 2010
Date of revision:
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
Other versions of this item:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-04-17 (All new papers)
- NEP-CDM-2010-04-17 (Collective Decision-Making)
- NEP-GTH-2010-04-17 (Game Theory)
- NEP-POL-2010-04-17 (Positive Political Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- 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.
- Taylor Alan & Zwicker William, 1993. "Weighted Voting, Multicameral Representation, and Power," Games and Economic Behavior, Elsevier, vol. 5(1), pages 170-181, January.
- 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.
- 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.
- MoshÊ Machover & Dan S. Felsenthal, 1997. "Ternary Voting Games," International Journal of Game Theory, Springer, vol. 26(3), pages 335-351.
- Laruelle,Annick & Valenciano,Federico, 2008.
"Voting and Collective Decision-Making,"
Cambridge University Press, number 9780521873871.
- 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).
- 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.
- 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.
- 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.
- Artabe, Alaitz & Laruelle, Annick & Valenciano Llovera, Federico, 2011.
"Preferences, actions and voting rules,"
2011-48, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
- Annick Lamelle & Federico Valenciano, 2011.
"Majorities with a quorum,"
Journal of Theoretical Politics,
, vol. 23(2), pages 241-259, April.
- 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.
- Guemmegne, Juliette & Pongou, Roland, 2013.
"A Policy-Based Rationalization of Collective Rules: Dimensionality, Specialized Houses, and Decentralized Authority,"
46019, University Library of Munich, Germany.
- Guemmegne, Juliette T. & Pongou, Roland, 2014. "A policy-based rationalization of collective rules: Dimensionality, specialized houses, and decentralized authority," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 182-193.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alcira Macías Redondo).
If references are entirely missing, you can add them using this form.