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.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 28 (2007)
Issue (Month): 1 (January)
Contact details of provider:
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
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.:
- Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
- Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991.
"Voting by Committees,"
Econometric Society, vol. 59(3), pages 595-609, May.
- Brams, S.J. & Fishburn, P.C., 2003.
"Going from Theory to Practice: The Mixed Success of Approval Voting,"
03-06, C.V. Starr Center for Applied Economics, New York University.
- 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.
- Marc Vorsatz, 2008.
"Scoring rules on dichotomous preferences,"
Social Choice and Welfare,
Springer, vol. 31(1), pages 151-162, June.
- Theodore Groves & Martin Loeb, 1974.
"Incentives and Public Inputs,"
29, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- 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.
- Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2001. "Strategy-proof Social Choice Correspondences," Journal of Economic Theory, Elsevier, vol. 101(2), pages 374-394, December.
- H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
- 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.
- 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.
- Lin Zhou & Stephen Ching, 2002. "Multi-valued strategy-proof social choice rules," Social Choice and Welfare, Springer, vol. 19(3), pages 569-580.
- Jordi Massó & Marc Vorsatz, 2006.
"Weighted Approval Voting,"
UFAE and IAE Working Papers
668.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- 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.
- Mongin, Philippe & Maniquet, François, 2011. "Approval voting and arrow's impossibility theorem," Les Cahiers de Recherche 954, HEC Paris.
- 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.
- Salvador Barberà, 2010.
"Strategy-proof social choice,"
420, Barcelona Graduate School of Economics.
- Massó, Jordi & Vorsatz, Marc, 2006. "Weighted Approval Voting," Research Memorandum 038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- 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.
- Mishra, Debasis & Roy, Souvik, 2013.
"Implementation in multidimensional dichotomous domains,"
Econometric Society, vol. 8(2), May.
- 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.
- Alcalde-Unzu, Jorge & Vorsatz, Marc, 2007. "Size Approval Voting," Research Memorandum 008, 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.