经济系统的生存微分博弈  

Viable Differential Games of Economic Systems

作　　者：杨忠直[1] 张世英[2] 陈炳富[3] 

机构地区：[1]上海交通大学安泰经济与管理学院,上海200052 [2]天津大学管理学院,天津300072 [3]南开大学国际商学院,天津300073

出　　处：《上海交通大学学报》2009年第4期592-595,共4页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目(69874028)

摘　　要：定义了系统的生存域和多系统的共生存域,给出了具有凹增长生存函数的多个系统在资源稀缺的共生存域中的生存冲突定理.在生存函数分析的基础上,分别建立了以共生存函数和边际共生存函数为目标,以微分包含为动态系统约束的多系统微分生存博弈模型,导出了对应的最优生存博弈求解方程.所得结论可用于人类经济组织的各种系统.The viable domain of system and the coviable domain of multisystems were defined, and the viable conflict theorem of multisystems with concave increasing functions in the coviable domain of scarce resources was given. Based on the analysis of viable function, the viable differential game models of multisystems with coviable function and marginal coviable function as objective functions under the dynamic system constraint of differential inclusion were built respectively, and the equations of solving the models were derived. The results in the paper can be used in various systems of human economic organizations.

关 键 词：共生存函数 共生存域 微分包含 生存微分博弈 费马原理 

分 类 号：F224.12[经济管理—国民经济]