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.

翻译：竞合（Coopetition）指行为主体之间“为做大蛋糕而合作，为分割蛋糕而竞争”的同步合作与竞争关系。现代社会技术系统的特征在于战略竞合，即行为主体同时通过合作创造价值并通过竞争获取价值。虽然i*等概念建模语言能够对战略依赖关系进行丰富的定性表征，但缺乏对动态权衡进行定量分析的机制。反之，经典博弈论虽具有数学严谨性，却剥离了情境的丰富性。本技术报告通过建立形式化竞合两个关键维度——相互依赖性与互补性——的计算基础来弥合这一鸿沟。我们将相互依赖性植根于i*结构依赖分析，通过结构化转换框架将依赖方-被依赖方-依赖物关系量化为相互依赖系数；依据Brandenburger与Nalebuff的附加价值概念形式化互补性，采用经验证参数化方法建模协同价值创造。我们将结构依赖性与价值分配中的议价能力相结合，并引入包含结构相互依赖性的纳什均衡博弈论模型。验证工作结合了涵盖幂函数与对数价值函数规范的22,000余次实验测试，证明了函数形式的稳健性，并以三星-索尼S-LCD合资企业（2004-2011）为实证案例。本技术报告作为协调研究计划的基础参考文献，该计划旨在考察多智能体系统中的战略竞合问题，配套研究涉及信任动力学、集体行动及互惠机制。