一类经济对策模型中纳什均衡存在的充分条件  

The Sufficient Condition of the Existence of Nash Equilibrium in an Economic Countermeasure Model

作　　者：周亚平[1] 刘菲[1] 陈波[1] 

机构地区：[1]中国科学技术大学管理学院,安徽合肥230026

出　　处：《系统工程》2007年第2期121-123,共3页Systems Engineering

基　　金：安徽省自然科学基金资助项目(050460405)

摘　　要：应用压缩映象定理,证明了一类多人非合作对策纳什均衡存在性的两个充分条件,并由此得到了纳什均衡点的迭代算法。这种迭代算法具有相当明显的实际意义,它是对实际对策过程的一个仿真。并且可以方便地通过局中人之间反应函数的性质估计收敛速度。Applying the compressing reflection theorem, we approve the tow sufficient conditions of the existence of Nash equilibrium in a countermeasure with uncooperative muti-partieipator, then according to this, we get the iterative arithmetic of Nash equilibrium. This arithmetic has very obvious practical significance, and also is an emulation of practical countermeasure proces. This method can estimate convergence speed conveniently according to the reaction function of participators.

关 键 词：非合作对策 纳什均衡 收敛性 最佳反应 

分 类 号：O225[理学—运筹学与控制论]