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On Weak Condorcet Winners: Existence and Uniqueness

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  • Ayllon Aragon, Grisel

Abstract

Consider a society where each agent has weak preferences over alternatives. The purpose of the society is the selection of alternatives using the majority principle. Then, an alternative x (a weak Condorcet winner) is selected if half or more agents agree that x is as least as good as any other alternative. We give necessary and sufficient conditions on preference profiles under which (i) the set of Weak Condorcet Winners is non-empty; and (ii) the Weak Condorcet Winner is unique.

Suggested Citation

  • Ayllon Aragon, Grisel, 2013. "On Weak Condorcet Winners: Existence and Uniqueness," MPRA Paper 53272, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:53272
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    File URL: https://mpra.ub.uni-muenchen.de/53272/1/MPRA_paper_53272.pdf
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    References listed on IDEAS

    as
    1. Laffond G. & Laslier, J. F. & Le Breton, M., 1996. "Condorcet choice correspondences: A set-theoretical comparison," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 59-59, February.
    2. Borm, Peter & van den Brink, Rene & Levinsky, Rene & Slikker, Marco, 2004. "On two new social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 51-68, January.
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    More about this item

    Keywords

    Condorcet Winner; Majority Principle;

    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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