Abstract: Aiming at the status of complex system lack of level thought commonly to be limited of extent simulation, this paper researches the multi-level modeling for Complex Adaptive System(CAS). It combines the theory of co-evolution from the perspective of average fitness of subject, analyzes the generation, transition and evolutionary of middle subsystem, and gets the internal causes of making hierarchical structure. It proposes a mathematical model of level CAS evolution and level framework. The model applies in N-player iterated prisoner’s dilemma, and the result proves that it can emerge a higher and steadier rate of cooperation under high value of N.

Key words: Complex Adaptive System(CAS), co-evolution, modeling

摘要： 针对复杂系统仿真普遍缺乏层级思想，局限于广度模拟的情况，对复杂适应系统(CAS)层级建模进行研究，协同进化理论，从主体平均适应度的角度，分析中间子系统的生成、过渡和演化，得到层级结构产生的内在动因，提出层级CAS演化的数学模型和层级框架。该模型应用于多人重复囚徒博弈，结果证明其能在高N值时形成稳定高合作率。

关键词: 复杂适应系统, 协同进化, 建模

CLC Number: 

• TP391.9