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Peer-reviewedCC BY-NC-ND 4.0Nature Communications

Game theory driven multi-agent framework mitigates language model hallucination

Abstract

Lightweight large language models hold promise for scientific applications but remain limited in rule-constrained domains because they can reproduce linguistic patterns without following scientific principles, leading to hallucinations. Here, we show that G-Frame, an adaptive multi-agent framework inspired by Bayesian game and team game principles, enables a closed-loop process for automated data generation, model evaluation, and training. By assigning complementary roles to multiple agents, G-Frame generates structured reasoning data and constructs a specialized corpus containing 363,045 chain-of-thought examples and 199,589 question–answer pairs. Using this corpus together with domain pre-training and adaptive training, the 7-billion-parameter model OmniChem achieves competitive performance across the reported benchmarks and reduces the ChemJudge hallucination rate from 41.95% for the base model to 12.91%. Case studies further illustrate potential applications in molecular design and selected synthesis-planning tasks. These results support G-Frame as an extensible game theory-driven multi-agent framework for improving the reliability of lightweight scientific language models.

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BibTeX
@article{liu2026game,
  title = {{Game theory driven multi-agent framework mitigates language model hallucination}},
  author = {Runzhe Liu and Biquan Bie and Zihao Wang and Yuchao Ma and Yexin Liu and Xinghai Li and Harry Yang and Wenbo Yang and Jinzhe Cao and Shengyang Tao},
  journal = {Nature Communications},
  year = {2026},
  month = oct,
  doi = {10.1038/s41467-026-78213-5},
  url = {https://www.nature.com/articles/s41467-026-78213-5},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - JOUR
TI  - Game theory driven multi-agent framework mitigates language model hallucination
AU  - Runzhe Liu
AU  - Biquan Bie
AU  - Zihao Wang
AU  - Yuchao Ma
AU  - Yexin Liu
AU  - Xinghai Li
AU  - Harry Yang
AU  - Wenbo Yang
AU  - Jinzhe Cao
AU  - Shengyang Tao
PY  - 2026
DA  - 2026/10/07
JO  - Nature Communications
DO  - 10.1038/s41467-026-78213-5
UR  - https://www.nature.com/articles/s41467-026-78213-5
AB  - Lightweight large language models hold promise for scientific applications but remain limited in rule-constrained domains because they can reproduce linguistic patterns without following scientific principles, leading to hallucinations. Here, we show that G-Frame, an adaptive multi-agent framework inspired by Bayesian game and team game principles, enables a closed-loop process for automated data generation, model evaluation, and training. By assigning complementary roles to multiple agents, G-Frame generates structured reasoning data and constructs a specialized corpus containing 363,045 chain-of-thought examples and 199,589 question–answer pairs. Using this corpus together with domain pre-training and adaptive training, the 7-billion-parameter model OmniChem achieves competitive performance across the reported benchmarks and reduces the ChemJudge hallucination rate from 41.95% for the base model to 12.91%. Case studies further illustrate potential applications in molecular design and selected synthesis-planning tasks. These results support G-Frame as an extensible game theory-driven multi-agent framework for improving the reliability of lightweight scientific language models.
SN  - 2041-1723
ER  -