拟阵上动态结构合作对策的单调解  

Monotonic solution of dynamic cooperative games on matroids

作　　者：孙浩[1] 何华[1] 

机构地区：[1]西北工业大学理学院应用数学系,陕西西安710072

出　　处：《高校应用数学学报（A辑）》2009年第1期102-110,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(70871098);陕西省自然科学基金(2007A09)

摘　　要：论文主要介绍了拟阵上动态结构合作对策单调解的结构,并利用强单调性、交换性和动态有效性等三条公理刻画了此单调解的唯一性.同时给出了拟阵上动态结构合作对策核心的定义,确定了它的结构.最后讨论了拟阵上动态结构合作对策Shapley值与其核心的关系.Firstly, the monotonic solution for cooperative games on matroids in dynamic model is recalled, and characterized by three axioms of strong monotonicity, substitution and dynamic efficiency. The structure of element of core for cooperative games on matroids in dynamic model is presented. Furthermore, the relationship between the Shapley value for dynamic cooperative games on matroids and core is shown.

关 键 词：合作对策 动态结构 拟阵 SHAPLEY值 强单调性 

分 类 号：O225[理学—运筹学与控制论]