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Free Triples, Large Indifference Classes and the Majority Rule

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  • EHLERS, Lars
  • BARBERÀ, Salvador

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.

Suggested Citation

  • 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.
    • Handle: RePEc:mtl:montde:2007-02
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    File URL: http://hdl.handle.net/1866/1472
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    Cited by:

    1. Anup Pramanik & Arunava Sen, 2016. "Pairwise partition graphs and strategy-proof social choice in the exogenous indifference class model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(1), pages 1-24, June.
    2. Nhan-Tam Nguyen & Dorothea Baumeister & Jörg Rothe, 2018. "Strategy-proofness of scoring allocation correspondences for indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 101-122, January.
    3. 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.
    4. Sato, Shin, 2009. "Strategy-proof social choice with exogenous indifference classes," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 48-57, January.

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    More about this item

    Keywords

    Quasi-Transitivity ; Majority Rule;

    JEL classification:

    • 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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