Approval Voting on Dichotomous Preferences
AbstractThe aim of this paper is to find normative foundations of Approval Voting. In order to show that Approval Voting is the only social choice function that satisfies anonymity, neutrality, strategy-proofness and strict monotonicity we rely on an intermediate result which relates strategy-proofness of a social choice function to the properties of Independence of Irrelevant Alternatives and monotonicity of the corresponding social welfare function. Afterwards we characterize Approval Voting by means of strict symmetry, neutrality and strict monotonicity and relate this result to May's Theorem. Finally, we show that it is possible to substitute the property of strict monotonicity by the one efficiency of in the second characterization.
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 28 (2007)
Issue (Month): 1 (January)
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Web page: http://link.springer.de/link/service/journals/00355/index.htm
Other versions of this item:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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- Sen, Amartya & Pattanaik, Prasanta K., 1969. "Necessary and sufficient conditions for rational choice under majority decision," Journal of Economic Theory, Elsevier, vol. 1(2), pages 178-202, August.
- H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
- Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2001.
"Strategy-proof Social Choice Correspondences,"
Journal of Economic Theory,
Elsevier, vol. 101(2), pages 374-394, December.
- Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2005. "Corrigendum to "Strategy-proof social choice correspondences" [J. Econ. Theory 101 (2001) 374-394]," Journal of Economic Theory, Elsevier, vol. 120(2), pages 275-275, February.
- Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991.
"Voting by Committees,"
Econometric Society, vol. 59(3), pages 595-609, May.
- Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
- Barbera, S. & Sonnenschein, H., 1988. "Voting By Quota And Committee," UFAE and IAE Working Papers 95-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Theodore Groves & Martin Loeb, 1974.
"Incentives and Public Inputs,"
29, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Marc Vorsatz, 2004.
"Scoring Rules on Dichotomous Preferences,"
UFAE and IAE Working Papers
617.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
- Lin Zhou & Stephen Ching, 2002. "Multi-valued strategy-proof social choice rules," Social Choice and Welfare, Springer, vol. 19(3), pages 569-580.
- John Duggan & Thomas Schwartz, 2000. "Strategic manipulability without resoluteness or shared beliefs: Gibbard-Satterthwaite generalized," Social Choice and Welfare, Springer, vol. 17(1), pages 85-93.
- Steven Brams & Peter Fishburn, 2005. "Going from theory to practice: the mixed success of approval voting," Social Choice and Welfare, Springer, vol. 25(2), pages 457-474, December.
- Blair, Douglas & Muller, Eitan, 1983. "Essential aggregation procedures on restricted domains of preferences," Journal of Economic Theory, Elsevier, vol. 30(1), pages 34-53, June.
- Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-19, March.
- Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
- Alcalde-Unzu, Jorge & Vorsatz, Marc, 2014.
"Non-anonymous ballot aggregation: An axiomatic generalization of Approval Voting,"
Journal of Mathematical Economics,
Elsevier, vol. 50(C), pages 69-78.
- Jorge Alcalde-Unzu & Marc Vorsat, 2011. "Non-anonymous ballot aggregation: an axiomatic generalization of Approval Voting," Documentos de Trabajo - Lan Gaiak Departamento de EconomÃa - Universidad PÃºblica de Navarra 1103, Departamento de Economía - Universidad Pública de Navarra.
- Debasis Mishra & Souvik Roy, 2011.
"Implementation in multidimensional dichotomous domains,"
Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers
11-15, Indian Statistical Institute, New Delhi, India.
- Mishra, Debasis & Roy, Souvik, 2013. "Implementation in multidimensional dichotomous domains," Theoretical Economics, Econometric Society, vol. 8(2), May.
- Alcalde-Unzu, Jorge & Vorsatz, Marc, 2007.
"Size Approval Voting,"
008, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Jorge Alcalde-Unzu & Marc Vorsatz, 2007. "Size Approval Voting," Documentos de Trabajo - Lan Gaiak Departamento de EconomÃa - Universidad PÃºblica de Navarra 0703, Departamento de Economía - Universidad Pública de Navarra.
- Rosa Camps & Xavier Mora & Laia Saumell, 2013. "A continuous rating method for preferential voting. The incomplete case," Social Choice and Welfare, Springer, vol. 40(4), pages 1111-1142, April.
- Salvador Barberà, 2010.
"Strategy-proof social choice,"
420, Barcelona Graduate School of Economics.
- Massó, Jordi & Vorsatz, Marc, 2006.
"Weighted Approval Voting,"
038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Alcantud, José Carlos R. & de Andres Calle, Rocio & Cascon, José Manuel, 2012. "Approval consensus measures," MPRA Paper 39610, University Library of Munich, Germany.
- Mongin, Philippe & Maniquet, François, 2011. "Approval voting and arrow's impossibility theorem," Les Cahiers de Recherche 954, HEC Paris.
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