Measuring Collapse and Correction in Homogeneous-Panel LLM Debate
Xin Li ⋅ Mengbing LIU ⋅ Chau Yuen
Abstract
Multi-agent large language model (LLM) debate is often evaluated by whether final answers improve, but movement is not necessarily improvement: the same discussion can rescue an initially wrong majority or destroy an initially correct one. Standard final-accuracy evaluations conflate these opposing mechanisms. We introduce an auditable protocol for homogeneous debate on multiple-choice questions (MCQs) that records each run as a transition ledger over collapse, correction, onset, and signed intervention utility. On $6{,}925$ MMLU-Pro debates, the protocol identifies $253$ collapses and a parallel correction ledger that changes how interventions should be judged. Replay experiments reveal the central tradeoff: a leave-one-model-out probe-gated freeze prevents $29$ collapses but loses $108$ corrections under equal weights, so collapse prevention alone can recommend the wrong policy. A compact pre-debate $8$-probe screen is a triage signal: its unadjusted family-level association with conditional-collapse risk is high ($G{=}7$, Spearman $\rho=0.893$, exact two-sided $p=0.0123$), but initial-majority accuracy is a close comparator ($\rho=0.821$; family partial $\rho=0.767$, $p=0.0877$), so we do not treat it as calibrated or capability-adjusted prediction. Round-level traces localize many collapses to the first debate round, where early disagreement can precede both harmful cascades and useful recovery. We release replayable schemas, coders, audits, cost cards, and zero-API rebuild scripts so future model--scaffold rows can be compared under the same denominators and signed utility ledger.
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