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The necessary and sufficient condition for the transitivity of the Majority Rule in the linear domain

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  • Xefteris, Dimitrios

Abstract

This paper identifies the necessary and sufficient condition for the transitivity of the majority rule when individuals are never indifferent between two distinct alternatives (linear domain). By introducing the concept of the relevant population for each set of alternatives, a unique condition can be stated, and substitute the variety of conditions that already exist in the literature.

Suggested Citation

  • Xefteris, Dimitrios, 2010. "The necessary and sufficient condition for the transitivity of the Majority Rule in the linear domain," MPRA Paper 24588, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:24588
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    File URL: https://mpra.ub.uni-muenchen.de/32106/2/MPRA_paper_32106.pdf
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    References listed on IDEAS

    as
    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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    More about this item

    Keywords

    majority rule; transitivity;

    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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