The Coin Flip Judge? Reliability and Bias in LLM-as-a-Judge Evaluation

Abel Yagubyan


Abstract
LLM-as-a-Judge is widely used to rank model outputs and populate leaderboards, yet its run-to-run reliability is under-characterized. We study repeated identical evaluations across six judges from three providers spanning three model generations (2024-2026), with 50 pairwise and 50 pointwise trials per question on 29 tasks. Three findings stand out. First, pairwise verdicts are unstable, with an 11-14% mean flip rate on identical re-runs, and this has not improved across generations: the newest, cheapest deployable judges flip just as often as 2024 models. Second, a dedicated swap-order experiment (8,700 judgments) shows the fixed-order asymmetry is order bias, not self-preference, and that order bias has not been fixed either: the 2026 judges reverse its direction, favouring the second slot where earlier judges favoured the first, so a first-position check records them as unbiased while they still decide 21-41% of matched comparisons on slot rather than content. Third, forced-choice verdicts and scalar scores come apart, and ~11 repeated trials are needed to stabilize a verdict. We argue that multi-trial aggregation, symmetric order randomization, and uncertainty reporting should be standard practice.
Anthology ID:
2026.groundlm-1.64
Volume:
Proceedings of the 1st Workshop on Grounding Language Models: Learning Faithfully and Efficiently (GroundLM 2026)
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Yimu Wang, Yee Man Choi, Di Wu, Siqi Ouyang, Mozhgan Nasr Azadani, Yi R. (May) Fung
Venues:
GroundLM | WS
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
882–890
Language:
URL:
https://aclanthology.org/2026.groundlm-1.64/
DOI:
Bibkey:
Cite (ACL):
Abel Yagubyan. 2026. The Coin Flip Judge? Reliability and Bias in LLM-as-a-Judge Evaluation. In Proceedings of the 1st Workshop on Grounding Language Models: Learning Faithfully and Efficiently (GroundLM 2026), pages 882–890, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
The Coin Flip Judge? Reliability and Bias in LLM-as-a-Judge Evaluation (Yagubyan, GroundLM 2026)
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https://aclanthology.org/2026.groundlm-1.64.pdf
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