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Bibliographic Details
Main Authors: Doi, Ryoga, Nakamura, Kensei
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.05916
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Table of Contents:
  • 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.