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基于α-CIS值的非合作-合作双型博弈的求解
袁柳洋1,2, 段炼1
1.武汉科技大学理学院, 湖北 武汉 430065;2.湖北省冶金工业过程系统科学重点实验室, 湖北 武汉 430065
摘要:
本文研究了非合作-合作双型博弈模型求解的问题.首先利用于α-CIS值,求解非合作-合作双型博弈中的合作博弈阶段,再对非合作博弈阶段求其纯策略纳什均衡,获得了基于α-CIS值的双型博弈的一种新的求解方法.推广了原始双型博弈模型的求解方法并证明其可行性.
关键词:  非合作博弈  合作博弈  非合作-合作双型博弈  α-CIS值
DOI:
分类号:O225
基金项目:湖北省教育厅科学技术研究项目资助(Q20211111);湖北省冶金工业过程系统科学重点实验室开放基金项目资助(Y2017905).
SOLUTION METHOD TO THE NONCOOPERATIVE-COOPERATIVE BIFORM GAMES BASED ON THE α-CIS VALUE
YUAN Liu-yang1,2, DUAN Lian1
1.College of Science, Wuhan University of Science and Technology, Wuhan 430065, China;2.Key Laboratory of Metallurgical Industry Process System Science of Hubei Province, Wuhan 430065, China
Abstract:
This paper is devoted to study the solution method of the noncooperative-cooperative biform game model. Firstly, the α-CIS value is introduced and applied to the solutions of the cooperation stage of the biform game, then the Nash equilibrium of the non-cooperative stage is solved, a new solution method is proposed for the noncooperative-cooperative biform game based on the α-CIS value. The solution method of the original biform game model is extended and its feasibility is proved.
Key words:  non-cooperative game  cooperative game  Biform games  α-CIS value