用数学模型同时分析合作与竞争的动态平衡，适用于企业联盟等复杂关系。
Computational Foundations for Strategic Coopetition: Formalizing Interdependence and Complementarity
- 将i*模型中的依赖关系转化为可量化的互依系数。
- 通过纳什均衡整合结构依赖与价值分配，验证超2.2万次模拟结果。
- 适合研究企业合资、多方协作等战略博弈场景的学者和决策者。
coopetition（竞合）指参与者既合作创造价值又竞争分配收益的双重行为。现代社会技术系统中广泛存在此类战略竞合关系。现有i*等概念建模语言虽能描述依赖关系，但缺乏定量分析能力；经典博弈论虽具数学严谨性，却忽视具体情境。本文提出计算基础框架，形式化竞合的两个核心维度：互依性与互补性。互依性基于i*结构依赖分析，通过系统化映射将依赖方-被依赖方-依赖对象关系转化为量化互依系数；互补性则依据Brandenburger与Nalebuff的增值理论，采用已验证的参数化方法建模协同增效。进一步将结构依赖与议价能力结合，构建含结构互依性的博弈论模型，并以纳什均衡求解。通过超过22,000次实验测试不同权力分布与对数型价值函数下的稳健性，实证应用于三星与索尼S-LCD合资企业（2004–2011）。本报告为多智能体系统中战略竞合研究提供基础支撑，后续工作涵盖信任、集体行动与互惠机制。
原文摘要 · Abstract (English)
Coopetition refers to simultaneous cooperation and competition among actors who "cooperate to grow the pie and compete to split it up." Modern socio-technical systems are characterized by strategic coopetition in which actors concomitantly cooperate to create value and compete to capture it. While conceptual modeling languages such as i* provide rich qualitative representations of strategic dependencies, they lack mechanisms for quantitative analysis of dynamic trade-offs. Conversely, classical game theory offers mathematical rigor but strips away contextual richness. This technical report bridges this gap by developing computational foundations that formalize two critical dimensions of coopetition: interdependence and complementarity. We ground interdependence in i* structural dependency analysis, translating depender-dependee-dependum relationships into quantitative interdependence coefficients through a structured translation framework. We formalize complementarity following Brandenburger and Nalebuff's Added Value concept, modeling synergistic value creation with validated parameterization. We integrate structural dependencies with bargaining power in value appropriation and introduce a game-theoretic formulation where Nash Equilibrium incorporates structural interdependence. Validation combines comprehensive experimental testing comprising over 22,000 trials across power and logarithmic value function specifications, demonstrating functional form robustness, with empirical application to the Samsung-Sony S-LCD joint venture (2004-2011). This technical report serves as the foundational reference for a coordinated research program examining strategic coopetition in multi-agent systems, with companion work addressing trust dynamics, collective action, and reciprocity mechanisms.
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