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Chinese Journal of Management Science ›› 2026, Vol. 34 ›› Issue (5): 109-122.doi: 10.16381/j.cnki.issn1003-207x.2025.1372

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Open-Source Degree as a Signal: A Game-Theoretic Analysis of Quality Information Disclosure in Large Language Models

Jing Wang1, Hua Zhao1(), Fengling Liu2, Jinhan Zeng3, Zhiguo Li2   

  1. 1.Institute For Chengdu-Chongqing Economic Zone Development,Chongqing Technology and Business University,Chongqing 400067,China
    2.School of Business Administration,Chongqing Technology and Business University,Chongqing 400067,China
    3.Olin business school,Washington University,Saint Louis 63130,USA
  • Received:2025-08-27 Revised:2025-10-08 Online:2026-05-25 Published:2026-04-21
  • Contact: Hua Zhao E-mail:zhaohua@ctbu.edu.cn

Abstract:

As public concern about the quality of large language models (LLMs) continues to grow, vendors are increasingly adopting open-source strategy as an indirect means to signal quality, aiming to enhance consumers’ perception of model performance and alleviate security concerns. A signaling game model is constructed in which the open-source degree of LLMs serves as a quality signal, and how a vendor’s quality disclosure strategy affects the open-source degree, market demand, and profits is examined. It is found that when the quality difference between the vendor’s potential high and low-type states is small, the vendor conceals its quality type under a non-disclosure strategy (pooling equilibrium). Compared with active disclosure, in this case a high-type vendor chooses a lower open-source degree and experiences lower first-period market demand but higher second-period demand, while the opposite pattern holds for a low-type vendor. When the quality difference is large, the vendor reveals its type under non-disclosure (separating equilibrium), where a high-type vendor adopts a higher open-source degree and achieves higher first-period demand but lower second-period demand compared to active disclosure, while a low-type vendor’s open-source degree and market demand remain unaffected. Active quality disclosure always enhances the profit of a high-type vendor, but reduces the profit of a low-type vendor when the quality difference is substantial.

Key words: quality information asymmetry? large language models? signaling game? open-source degree

CLC Number: