战略演化理论：内生参与者博弈与战略复制者
原标题：The Theory of Strategic Evolution: Games with Endogenous Players and Strategic Replicators
AI 摘要
本文提出战略演化理论，将博弈论与自复制自动机理论结合，引入内生参与者博弈（GEPs）和战略复制者概念，以谱系为基本战略单元，定义智能演化稳定分布（ESDIs）作为均衡概念。核心数学对象是跨层级增益矩阵层级，在小增益条件下系统在任意有限深度存在全局Lyapunov函数，并证明元选择的封闭性。对齐不可能定理表明无限制的自我修改会破坏结构，稳定对齐需有界修改类。应用包括AI部署动态、市场集中和制度设计。
正文节选
Computer Science > Computer Science and Game Theory Title:The Theory of Strategic Evolution: Games with Endogenous Players and Strategic Replicators View PDF HTML (experimental) Abstract:Von Neumann founded both game theory and the theory of self-reproducing automata, but the two programs never merged. This paper provides the synthesis. The Theory of Strategic Evolution analyzes strategic replicators: entities that optimize under resource constraints and spawn copies of themselves. W