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

arXiv: https://arxiv.org/abs/2004.02350 · HTML: https://mlsanity.com/paper/2004.02350/

## Key facts

- Cited by 4 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 5 Apr 2020.

## Built on by (most cited first, 4 of 4)

- [Learning How to Vote with Principles: Axiomatic Insights Into the Collective Decisions of Neural Networks](https://mlsanity.com/paper/2410.16170/) (2024)
- [Learning to Manipulate under Limited Information](https://mlsanity.com/paper/2401.16412/) (2024)
- [Stable Voting and the Splitting of Cycles](https://mlsanity.com/paper/2512.00616/) (2025)
- [Independence of Approximate Clones](https://mlsanity.com/paper/2601.20779/) (2026)

## Abstract (arXiv)

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."