用计算模型解释无合同下的长期合作机制，可模拟人类与智能体的互动。
Computational Foundations for Strategic Coopetition: Formalizing Sequential Interaction and Reciprocity
- 构建有限响应、带记忆窗口的互惠函数，模拟真实决策限制
- 在15,625种参数下验证合作率97.5%，所有行为指标均达标
- 适用于多利益相关方系统，适合研究生态合作与信任演化
多利益相关方系统中的战略合竞争需理解无合同约束下的合作如何持续。本技术报告拓展了战略合竞争的计算基础，引入序列互动动态，融合i*框架的概念建模与博弈论互惠分析。提出：(1) 有限互惠响应函数，将对方偏离映射为有限条件反应；(2) 带记忆窗口的历史追踪，刻画k期内的认知局限；(3) 基于依存矩阵的结构互惠敏感度，使行为反应受结构性依赖放大；(4) 信任调控的互惠机制。框架适用于人与多智能体系统。15,625组参数配置的综合验证显示，所有六项行为目标均达标：合作涌现率97.5%，背叛惩罚率100%，宽恕动态87.9%，非对称区分100%，信任-互惠交互100%，响应边界性100%。基于苹果iOS应用商店（2008–2024）的实证验证达51点中43点（84.3%），复现五个生态阶段的合作模式，统计显著性p < 0.001，Cohen's d = 1.57。本报告完成基础系列（TR-1至TR-4），采用单轴处理，即合作水平沿单一连续谱选择。配套工作关于依存关系（arXiv:2510.18802）、信任（arXiv:2510.24909）和集体行动（arXiv:2601.16237）已预发布。扩展系列（TR-5至TR-8）引入双轴处理，合作与竞争为独立维度。
原文摘要 · Abstract (English)
Strategic coopetition in multi-stakeholder systems requires understanding how cooperation persists through time without binding contracts. This technical report extends computational foundations for strategic coopetition to sequential interaction dynamics, bridging conceptual modeling (i* framework) with game-theoretic reciprocity analysis. We develop: (1) bounded reciprocity response functions mapping partner deviations to finite conditional responses, (2) memory-windowed history tracking capturing cognitive limitations over k recent periods, (3) structural reciprocity sensitivity derived from interdependence matrices where behavioral responses are amplified by structural dependencies, and (4) trust-gated reciprocity where trust modulates reciprocity responses. The framework applies to both human stakeholder interactions and multi-agent computational systems. Comprehensive validation across 15,625 parameter configurations demonstrates robust reciprocity effects, with all six behavioral targets exceeding thresholds: cooperation emergence (97.5%), defection punishment (100%), forgiveness dynamics (87.9%), asymmetric differentiation (100%), trust-reciprocity interaction (100%), and bounded responses (100%). Empirical validation using the Apple iOS App Store ecosystem (2008-2024) achieves 43/51 applicable points (84.3%), reproducing documented cooperation patterns across five ecosystem phases. Statistical significance confirmed at p < 0.001 with Cohen's d = 1.57. This report concludes the Foundations Series (TR-1 through TR-4) adopting uniaxial treatment where agents choose cooperation levels along a single continuum. Companion work on interdependence (arXiv:2510.18802), trust (arXiv:2510.24909), and collective action (arXiv:2601.16237) has been prepublished. Extensions Series (TR-5 through TR-8) introduces biaxial treatment where cooperation and competition are independent dimensions.
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