Before revision:  Split Cycle belongs to the small family of known voting methods  satisfying independence of clones and the Pareto principle. Unlike other methods in this family,  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.
After revision:  Split Cycle belongs to the small family of known voting methods satisfying independence of clones . In this family, 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.