RLHF reward modeling satisfies pairwise majority and Condorcet consistency when each response pair is labeled once, because the maximum likelihood ranking then matches the Copeland rule.
Therefore, a preference matching distribution exists
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Theoretical Tensions in RLHF: Reconciling Empirical Success with Inconsistencies in Social Choice Theory
RLHF reward modeling satisfies pairwise majority and Condorcet consistency when each response pair is labeled once, because the maximum likelihood ranking then matches the Copeland rule.