交替博弈中两类循环优势系统的动力学行为  

Dynamic Behavior of Two Kinds of Cyclic Dominant Systems in Alternating Games

作　　者：刘静 刘春燕 陆征一 杨鸣 LIU Jing;LIU Chunyan;LU Zhengyi;YANG Ming(Department of Force Management,Officers College of PAP,Chengdu 610213,Sichuan;School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,Sichuan;Chengdu Institute of Computer Application,Chinese Academy of Sciences,Chengdu 610041,Sichuan)

机构地区：[1]武警警官学院部队管理系,四川成都610213 [2]四川师范大学数学科学学院,四川成都610066 [3]中国科学院成都计算机应用研究所,四川成都610041

出　　处：《四川师范大学学报（自然科学版）》2020年第6期795-803,共9页Journal of Sichuan Normal University（Natural Science）

基　　金：高等学校博士学科点专项科研基金(20115134110001)。

摘　　要：基于交替捐赠博弈在不同成本收益-比值k下给出具有正平衡点的三循环优势系统的完全分类,讨论四循环优势系统的永久生存性,并在交替囚徒困境博弈中,利用中心流形定理证明四循环优势系统[S4,S8,S10,S15]存在极限环.A complete classification of the dynamic behavior of three-cycle dominant systems based on alternating donation game under different cost-benefit ratios of k is given,and the permanence for the four-cycle dominant system is considered.In the alternating prisoner dilemma game,the existence of limit cycle in a four-cycle dominant system [S4,S8,S10,S15] is proved by using the center manifold theorem.

关 键 词：进化博弈 交替博弈 循环优势 极限环 

分 类 号：O175[理学—数学]