摘要
以民间流传的划拳博弈为研究内容,建立了四策略循环占优博弈模型.结合演化博弈动力学的理论知识,得到了四策略博弈模型的对应的复杂动力学行为,出现高维分岔、多态稳定等复杂现象.通过数值模拟,验证了理论的正确的和可行性.
In this paper,we establish the model of four-strategy cycle dominant game through the folk spread of fight game.Combined with the theoretical knowledge of evolutionary game dynamics,the corresponding complex dynamic behaviors of the four strategy game model are obtained.The complex phenomena such as high-dimensional bifurcation and polymorphic stability appear.The correctness and feasibility of the theory are verified by numerical simulation.
作者
呼文军
张刚
HU Wen-jun;ZHANG Gang(Department of Mathematics,Luliang University,Lishi 033000,China;School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,China)
出处
《数学的实践与认识》
2021年第14期305-314,共10页
Mathematics in Practice and Theory
基金
山西省自然科学青年基金项目(201901D211449)
山西省高等学校优秀成果培育项目(2020KJ028)
吕梁市重点研发项目(Rc2020-112)。
关键词
演化博弈
稳定性
分岔
复杂动力学
evolutionary game
stability
bifurcation
complex dynamics
