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Negative voting social welfare functions: a characterization

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  • Jac C. Heckelman

    (Wake Forest University)

Abstract

An Arrowian Social Welfare Function (SWF) represents a weak ordering of the alternative set derived entirely from individual preference orders. Negative voting considers only a voter’s least preferred alternative. We introduce the majority loser opposition property which requires that any alternative ranked last by a majority of voters must be ranked last in the social ordering. We show a SWF satisfies anonymity, neutrality, reinforcement, continuity, and majority loser opposition if and only if it is equivalent to negative voting.

Suggested Citation

  • Jac C. Heckelman, 2023. "Negative voting social welfare functions: a characterization," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 125-132, February.
    • Handle: RePEc:spr:reecde:v:27:y:2023:i:1:d:10.1007_s10058-021-00272-5
    DOI: 10.1007/s10058-021-00272-5
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    References listed on IDEAS

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    More about this item

    Keywords

    Social welfare function; Axiomatic properties; Majority loser; Scoring function;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact

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