Information Bargaining: Bilateral Commitment in Bayesian Persuasion

Fuente: arXiv
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Autori principali: Lin, Yue, Zhu, Shuhui, Cunningham, William A, Li, Wenhao, Poupart, Pascal, Zha, Hongyuan, Wang, Baoxiang
Natura: Preprint
Pubblicazione: 2025
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author Lin, Yue
Zhu, Shuhui
Cunningham, William A
Li, Wenhao
Poupart, Pascal
Zha, Hongyuan
Wang, Baoxiang
author_facet Lin, Yue
Zhu, Shuhui
Cunningham, William A
Li, Wenhao
Poupart, Pascal
Zha, Hongyuan
Wang, Baoxiang
contents Bayesian persuasion, an extension of cheap-talk communication, involves an informed sender committing to a signaling scheme to influence a receiver's actions. Compared to cheap talk, this sender's commitment enables the receiver to verify the incentive compatibility of signals beforehand, facilitating cooperation. While effective in one-shot scenarios, Bayesian persuasion faces computational complexity (NP-hardness) when extended to long-term interactions, where the receiver may adopt dynamic strategies conditional on past outcomes and future expectations. To address this complexity, we introduce the bargaining perspective, which allows: (1) a unified framework and well-structured solution concept for long-term persuasion, with desirable properties such as fairness and Pareto efficiency; (2) a clear distinction between two previously conflated advantages: the sender's informational advantage and first-proposer advantage. With only modest modifications to the standard setting, this perspective makes explicit the common knowledge of the game structure and grants the receiver comparable commitment capabilities, thereby reinterpreting classic one-sided persuasion as a balanced information bargaining framework. The framework is validated through a two-stage validation-and-inference paradigm: We first demonstrate that GPT-o3 and DeepSeek-R1, out of publicly available LLMs, reliably handle standard tasks; We then apply them to persuasion scenarios to test that the outcomes align with what our information-bargaining framework suggests. All code, results, and terminal logs are publicly available at github.com/YueLin301/InformationBargaining.
format Preprint
id arxiv_https___arxiv_org_abs_2506_05876
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Information Bargaining: Bilateral Commitment in Bayesian Persuasion
Lin, Yue
Zhu, Shuhui
Cunningham, William A
Li, Wenhao
Poupart, Pascal
Zha, Hongyuan
Wang, Baoxiang
Computer Science and Game Theory
Artificial Intelligence
Bayesian persuasion, an extension of cheap-talk communication, involves an informed sender committing to a signaling scheme to influence a receiver's actions. Compared to cheap talk, this sender's commitment enables the receiver to verify the incentive compatibility of signals beforehand, facilitating cooperation. While effective in one-shot scenarios, Bayesian persuasion faces computational complexity (NP-hardness) when extended to long-term interactions, where the receiver may adopt dynamic strategies conditional on past outcomes and future expectations. To address this complexity, we introduce the bargaining perspective, which allows: (1) a unified framework and well-structured solution concept for long-term persuasion, with desirable properties such as fairness and Pareto efficiency; (2) a clear distinction between two previously conflated advantages: the sender's informational advantage and first-proposer advantage. With only modest modifications to the standard setting, this perspective makes explicit the common knowledge of the game structure and grants the receiver comparable commitment capabilities, thereby reinterpreting classic one-sided persuasion as a balanced information bargaining framework. The framework is validated through a two-stage validation-and-inference paradigm: We first demonstrate that GPT-o3 and DeepSeek-R1, out of publicly available LLMs, reliably handle standard tasks; We then apply them to persuasion scenarios to test that the outcomes align with what our information-bargaining framework suggests. All code, results, and terminal logs are publicly available at github.com/YueLin301/InformationBargaining.
title Information Bargaining: Bilateral Commitment in Bayesian Persuasion
topic Computer Science and Game Theory
Artificial Intelligence
url https://arxiv.org/abs/2506.05876