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arXiv · 2608.18798

Characterizing the Plurality Rule via Clone Invariance

Leo Goto
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Abstract

The Plurality rule is vulnerable to vote splitting between similar alternatives. Defying conventional wisdom, we characterize the Plurality rule through a specific type of clone independence condition. We further introduce the notion of a one-parameter family of $p$-Clone Resistance ($p$-CR), and examine the property within the class of scoring rules. For $p \in (0,1)$, nontrivial rules exist with at most three alternatives, but only the Trivial rule generally satisfies the condition.

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Leo Goto. 2026-08-19. Characterizing the Plurality Rule via Clone Invariance. https://arxiv.org/abs/2608.18798

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