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Split Cycle: A New Condorcet Consistent Voting Method Independent of Clones and Immune to Spoilers

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  • Wesley H. Holliday
  • Eric Pacuit

Abstract

We propose a Condorcet consistent voting method that we call Split Cycle. Split Cycle belongs to the small family of known voting methods satisfying the anti-vote-splitting criterion of independence of clones. In this family, only Split Cycle satisfies a new criterion we call immunity to spoilers, which concerns adding candidates to elections, as well as the known criteria of positive involvement and negative involvement, which concern adding voters to elections. Thus, in contrast to other clone-independent methods, Split Cycle mitigates both "spoiler effects" and "strong no show paradoxes."

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  • Wesley H. Holliday & Eric Pacuit, 2020. "Split Cycle: A New Condorcet Consistent Voting Method Independent of Clones and Immune to Spoilers," Papers 2004.02350, arXiv.org, revised Nov 2023.
    • Handle: RePEc:arx:papers:2004.02350
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    References listed on IDEAS

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    Cited by:

    1. Holliday, Wesley H., 2024. "An impossibility theorem concerning positive involvement in voting," Economics Letters, Elsevier, vol. 236(C).
    2. Wesley H. Holliday & Eric Pacuit, 2023. "Stable Voting," Constitutional Political Economy, Springer, vol. 34(3), pages 421-433, September.
    3. David McCune & Adam Graham-Squire, 2024. "Monotonicity anomalies in Scottish local government elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(1), pages 69-101, August.
    4. Gori, Michele, 2024. "A solution for abstract decision problems based on maximum flow value," Mathematical Social Sciences, Elsevier, vol. 130(C), pages 24-37.

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