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A necessary and sufficient single-profile condition for transitivity of the majority rule relation

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  • Xefteris, Dimitrios

Abstract

It is demonstrated that a preference profile will generate a transitive majority rule relation if and only if it is not balanced, a single-profile counterpart to a violation of value restriction.

Suggested Citation

  • Xefteris, Dimitrios, 2012. "A necessary and sufficient single-profile condition for transitivity of the majority rule relation," Economics Letters, Elsevier, vol. 116(3), pages 516-518.
    • Handle: RePEc:eee:ecolet:v:116:y:2012:i:3:p:516-518
    DOI: 10.1016/j.econlet.2012.04.053
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    References listed on IDEAS

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    1. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
    2. Jerry S. Kelly & Donald E. Campbell, 2000. "A simple characterization of majority rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 689-700.
    3. 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.
    4. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
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    Cited by:

    1. Riste Gjorgjiev & Dimitrios Xefteris, 2015. "Transitive supermajority rule relations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 299-312, October.

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    More about this item

    Keywords

    Majority rule; Transitivity; Balancedness;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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