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A composition-consistency characterization of the plurality rule

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  • Z. Emel Ozturk

Abstract

We consider a collective choice problem in which the number of alternatives and the number of voters may vary. The two fundamental axioms in such a setting are reinforcement and composition-consistency. The former guarantees that the social choice rule cannot be manipulated by partitioning the electorate into sub-electorates. The latter guarantees that the rule cannot be manipulated by altering the set of alternatives entering an election via a procedure called cloning. Brandl et al. (2016) show that reinforcement and composition-consistency are incompatible. We propose a plausible weakening of composition-consistency called composition-consistency for dominated clones. We show that there is only one social choice rule that satisfies reinforcement, unanimity and composition- consistency for dominated clones. The rule is the well-known plurality rule which selects the alternatives top-ranked by the largest number of voters.

Suggested Citation

  • Z. Emel Ozturk, 2017. "A composition-consistency characterization of the plurality rule," Working Papers 2017_04, Business School - Economics, University of Glasgow.
    • Handle: RePEc:gla:glaewp:2017_04
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    References listed on IDEAS

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    1. Sekiguchi, Yohei, 2012. "A characterization of the plurality rule," Economics Letters, Elsevier, vol. 116(3), pages 330-332.
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    More about this item

    Keywords

    Plurality rule; cloning-consistency; composition-consistency; reinforcement;
    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
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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