摘要
基于replicator dynamics(RD)模型的构建思想,提出了SDN(supply and demand network with mul-tifunction and opening characteristics for enterprise)子网的进化博弈模型,进而构造出了合作博弈策略混沌演化的数学模型。在RD模型的局部稳定点分析基础上,利用该数学模型生成了合作博弈的混沌演化模拟图,通过博弈的混沌演化模拟,从混沌演化的角度深入探讨了ESS的动态形成过程,佐证了SDN子网的混沌演化规律,验证了不同博弈阶段的子网结构也同样经历混沌的演化过程。这有助于预测SDN及其子网中群体行为的变化趋势,同时对进化博弈理论的动态研究也有一定的参考价值。
On the basis of replicator dynamics (RD) model construction thought, the evolutionary game model of SDN sub-network is proposed, and then the chaos evolve mathematical model of cooperative strategy is put forward. Based on the local stability analysis of RD models, chaotic evolution simulation maps are drawn ac- cording to the chaos evolve mathematical model. By these, the dynamic forming process of evolutionarily stable strategy (ESS) is discussed deeply from the perspective of chaos evolving. It proves the chaos evolve law of SDN sub-network and proves the structure for SDN sub-network in different gaming stage goes through the evolution course of the chaos too. These researches can also help to forecast the change tendency of group behavior in SDN and SDN sub-network, also have certain reference value for study evolution gambling theory.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2008年第7期1269-1272,共4页
Systems Engineering and Electronics
基金
国家自然科学基金(7047207570672110)
上海市重点学科项目(T0502)
全国高校博士点基金(20060252004)资助课题