Free triples, large indifference classes and the majority rule
AbstractWe consider situations in which agents are not able to completely distinguish between all alternatives. Preferences respect individual objective indifferences if any two alternatives are indifferent whenever an agent cannot distinguish between them. We present necessary and sufficient conditions of such a domain of preferences under which majority rule is quasi-transitive and thus Condorcet winners exist for any set of alternatives. Finally, we compare our proposed restrictions with others in the literature, to conclude that they are independent of any previously discussed domain restriction.
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 37 (2011)
Issue (Month): 4 (October)
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Web page: http://link.springer.de/link/service/journals/00355/index.htm
Other versions of this item:
- Salvador Barberà & Lars Ehlers, 2003. "Free Triples, Large Indifference Classes and the Majority Rule," Working Papers 15, Barcelona Graduate School of Economics.
- Salvador Barber?Author-Email: firstname.lastname@example.org & Lars Ehlers, 2002. "Free Triples, Large Indifference Classes and the Majority Rule," UFAE and IAE Working Papers 512.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- EHLERS, Lars & BARBERÀ, Salvador, 2007. "Free Triples, Large Indifference Classes and the Majority Rule," Cahiers de recherche 2007-02, Universite de Montreal, Departement de sciences economiques.
- EHLERS, Lars & BARBERÀ, Salvador, 2007. "Free Triples, Large Indifference Classes and the Majority Rule," Cahiers de recherche 02-2007, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Salvador Barberà & Lars Ehlers, 2003. "Free Triples, Large Indifference Classes and the Majority Rule," UFAE and IAE Working Papers 599.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 01 Feb 2007.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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- Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2005.
"Collective choice under dichotomous preferences,"
Journal of Economic Theory,
Elsevier, vol. 122(2), pages 165-184, June.
- Salles, Maurice, 1976. "Characterization of Transitive Individual Preferences for Quasi-Transitive Collective Preference under Simple Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 308-18, June.
- Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
- David P�rez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
- Gabrielle Demange, 2004.
"On group stability in hierarchies and networks,"
- Gaertner,Wulf, 2006.
"Domain Conditions in Social Choice Theory,"
Cambridge University Press, number 9780521028745, April.
- Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-91, November.
- Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001.
"Strategic Candidacy and Voting Procedures,"
Econometric Society, vol. 69(4), pages 1013-37, July.
- Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
- Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March.
- 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.
- Gabrielle Demange, 2004.
"On Group Stability in Hierarchies and Networks,"
Journal of Political Economy,
University of Chicago Press, vol. 112(4), pages 754-778, August.
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