摘要
对核心这种合作博弈解概念提出了两种计算公式,并分别用线性规划中的单纯形法和数学软件给出了求出所有解的方法,证明了两种方法求得的结果是等价的.针对核心可能为空时所提出的强ε-核心概念,给出了计算的公式.根据强ε-核心的不合理方面,提出人均强ε-核心理论.至此,核心这种解已经形成了完整的理论体系.
This paper puts forward two kinds of formulas about the core, gives all the solutions with the linear programming in the simplex method and mathematics software, and proves the results of the two methods are equal. When the core is an empty set, a formula for calculation depending on the concept to solve the cooperative game with the strong ε - core is set. According to the unreasonable aspect, the theory of the average per person strong ε - core is put forward. This solution has formed a complete theoretical system.
出处
《哈尔滨商业大学学报（自然科学版）》
CAS
2009年第4期496-499,512,共5页
Journal of Harbin University of Commerce：Natural Sciences Edition
关键词
合作博弈
核心
线性规划
单纯形法
cooperative game
core
linear programming
simplex method
