Instructing LLMs to Negotiate using Reinforcement Learning with Verifiable Rewards
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arXiv
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| Format: | Preprint |
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2026
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| author | Liu, Shuze Daniel Chen, Claire Xiao, Jiabao Sean Lei, Lei Zhang, Yuheng Yue, Yisong Simchi-Levi, David |
| author_facet | Liu, Shuze Daniel Chen, Claire Xiao, Jiabao Sean Lei, Lei Zhang, Yuheng Yue, Yisong Simchi-Levi, David |
| contents | The recent advancement of Large Language Models (LLMs) has established their potential as autonomous interactive agents. However, they often struggle in strategic games of incomplete information, such as bilateral price negotiation. In this paper, we investigate if Reinforcement Learning from Verifiable Rewards (RLVR) can effectively teach LLMs to negotiate. Specifically, we explore the strategic behaviors that emerge during the learning process. We introduce a framework that trains a mid-sized buyer agent against a regulated LLM seller across a wide distribution of real-world products. By grounding reward signals directly in the maximization of economic surplus and strict adherence to private budget constraints, we reveal a novel four-phase strategic evolution. The agent progresses from naive bargaining to using aggressive starting prices, moves through a phase of deadlock, and ultimately develops sophisticated persuasive skills. Our results demonstrate that this verifiable training allows a 30B agent to significantly outperform frontier models over ten times its size in extracting surplus. Furthermore, the trained agent generalizes robustly to stronger counterparties unseen during training and remains effective even when facing hostile, adversarial seller personas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09855 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Instructing LLMs to Negotiate using Reinforcement Learning with Verifiable Rewards Liu, Shuze Daniel Chen, Claire Xiao, Jiabao Sean Lei, Lei Zhang, Yuheng Yue, Yisong Simchi-Levi, David Artificial Intelligence Computation and Language Computer Science and Game Theory General Economics Economics The recent advancement of Large Language Models (LLMs) has established their potential as autonomous interactive agents. However, they often struggle in strategic games of incomplete information, such as bilateral price negotiation. In this paper, we investigate if Reinforcement Learning from Verifiable Rewards (RLVR) can effectively teach LLMs to negotiate. Specifically, we explore the strategic behaviors that emerge during the learning process. We introduce a framework that trains a mid-sized buyer agent against a regulated LLM seller across a wide distribution of real-world products. By grounding reward signals directly in the maximization of economic surplus and strict adherence to private budget constraints, we reveal a novel four-phase strategic evolution. The agent progresses from naive bargaining to using aggressive starting prices, moves through a phase of deadlock, and ultimately develops sophisticated persuasive skills. Our results demonstrate that this verifiable training allows a 30B agent to significantly outperform frontier models over ten times its size in extracting surplus. Furthermore, the trained agent generalizes robustly to stronger counterparties unseen during training and remains effective even when facing hostile, adversarial seller personas. |
| title | Instructing LLMs to Negotiate using Reinforcement Learning with Verifiable Rewards |
| topic | Artificial Intelligence Computation and Language Computer Science and Game Theory General Economics Economics |
| url | https://arxiv.org/abs/2604.09855 |