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arXiv · 2604.05916

Condorcet-loser dominance among scoring rules

Ryoga Doi·Kensei Nakamura
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Abstract

This paper studies a dominance relation among scoring rules with respect to avoiding the selection of the Condorcet loser. In a voting model with three or more alternatives, we say that a scoring rule $f$ Condorcet-loser-dominates (CL-dominates) another scoring rule $g$ if the set of profiles where $f$ selects a Condorcet loser is a proper subset of the set where $g$ does. We show that the Borda rule not only CL-dominates all other scoring rules, but also is the only scoring rule that CL-dominates some scoring rule.

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BibTeXRIS

Ryoga Doi, Kensei Nakamura. 2026-04-07. Condorcet-loser dominance among scoring rules. https://arxiv.org/abs/2604.05916

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