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The Leaderboard Illusion

NeurIPS 2025 · Large language models › AI and society · approach: Social-science view of AI evaluation · 4 citations (OpenAlex)

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Audits Chatbot Arena (LMArena) over Jan 2024–Apr 2025 and shows undisclosed private multi-variant testing with score retraction, unequal data access, and silent model deprecation all distort Arena rankings, with simulations and a real submission experiment supporting the claims.

Problem

Chatbot Arena has become the de facto leaderboard for LLMs, but its rankings may be distorted by undisclosed private testing with selective score retraction, asymmetric data access across providers, and opaque model deprecation that violate Bradley-Terry assumptions.

Approach

Combines crawled battles, leaderboard snapshots, and provider-shared battle data with simulations of best-of-N selection, Bradley-Terry sensitivity analyses, and real submissions of private Aya-Vision variants to quantify how selective disclosure, sampling asymmetry, and deprecation inflate or destabilize Arena scores; also fine-tunes a 7B model with varying Arena data to estimate overfitting gain

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase Arena data in the training mixture from 0% to 70% (ablation)7B base model (Cohere Command family) · ArenaHardwin-rate vs. Llama-3.1-8B-Instruct: 23.5% -> 49.9%Helped
Increase Arena data in the training mixture from 0% to 30% (ablation)7B base model (Cohere Command family) · ArenaHardwin-rate vs. Llama-3.1-8B-Instruct: 23.5% -> 42.7%Helped
Increase Arena data in the training mixture from 0% to 30% (ablation)7B base model (Cohere Command family) · MMLUscore: 66.5% -> 64.4%Hurt
Increase Arena data in the training mixture from 0% to 70% (ablation)7B base model (Cohere Command family) · MMLUscore: 66.5% -> 65.9%Mixed
Select the higher-scoring submission from two identical checkpoints instead of reporting one submissionAya-Vision-8B · Chatbot ArenaArena Score: 1052 (±21/22) -> 1069 (±19/23)Helped
Select the higher-scoring variant from two checkpointsAya-Vision-32B · Chatbot ArenaArena Score: 1059 (±18/23) -> 1097 (±29/25)Helped
Test more private variants and select the best-performing scoreChatbot Arena model submissions · Chatbot Arenamaximum Arena Score: approximately 100 pointsHelped
Increase private variants from 0 to 20Simulated model submissions · Chatbot Arenamaximum Arena Score: approximately 50 pointsHelped
Increase the number of tested variants from 1 to 3Cohere model variants · Chatbot Arenashare of prompts collected: 5.9% -> 19.4%Helped
Deprecate Model D halfway through the battle history under a changing task distributionSimulated Bradley-Terry rankings · Two-phase task distribution simulationranking reliabilityHurt
Use a sparse or disconnected comparison graph instead of a dense connected graphSimulated Bradley-Terry rankings · Sparse battle history simulationranking accuracyHurt

Surprising findings

Limitations

Experimental setup

Datasets: arena-human-preference-100k historical-battles (1.8M battles, Apr 2023-Jan 2025) scraped-random-sample (5.8K battles) API prompts (197K single-turn, Cohere) leaderboard-stats (14.3K records) proprietary other-sft-mix

Benchmarks: ArenaHard MMLU

Metrics: win-rate Arena score (Bradley-Terry) sampling rate deprecation rate prompt duplication rate

Baselines: Llama-3.1-8B-Instruct

Builds on: Bradley-Terry model Elo rating ArenaHard FastChat

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