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Free Triples, Large Indifference Classes and the Majority Rule

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Author Info
EHLERS, Lars
BARBERÀ, Salvador

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Abstract

We consider situations in which agents are notable 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 winner sexist 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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Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2007-02.

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Date of creation: 2007
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Handle: RePEc:mtl:montde:2007-02

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Keywords: Quasi-Transitivity ; Majority Rule;

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  1. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March. [Downloadable!] (restricted)
  2. David Pérez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December. [Downloadable!]
  3. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-37, July.
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  4. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July. [Downloadable!] (restricted)
  5. Gabrielle Demange, 2001. "On stability and incentives in hierarchies," DELTA Working Papers 2001-09, DELTA (Ecole normale supérieure). [Downloadable!]
  6. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-91, November. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December. [Downloadable!] (restricted)
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