| 两阶段主从博弈均衡解的存在性 |
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| 引用本文： | 邓喜才,;郭华华.两阶段主从博弈均衡解的存在性[J].经济数学,2009(4). |
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| 作者姓名： | 邓喜才 ;郭华华 |
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| 作者单位： | [1]贵州师范学院数学与计算机系; [2]贵州大学职业技术学院 |
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| 基金项目： | 贵州大学校研理工资助项目(2007010) |
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| 摘 要： | 首先给出带参数的纳什均衡问题Γ(x),在此基础上给出了具有带参数的纳什均衡约束的两阶段主从博弈问题G.可以证明带参数的纳什均衡点是存在的,即无论领导者选择何种策略,跟随者的最佳回应集都是非空的.最后推出了关于两阶段主从博弈均衡点的存在性定理.
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| 关 键 词： | 带参数的纳什均衡 两阶段主从博弈 存在性 |
EXISTENCE OF THE EQUILIBRIUM SOLUTION OF A TWO-STAGE LEADERS-FOLLOWERS GAMEE |
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| Institution: | DENG Xi-cai1; GUO Hua-hua2(1.Department of mathematical and computer in Guizhou normal college; Guizhou; Guiyang 550002; China; 2.Vocational school of Guizhou university; Guiyang 550001; China); |
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| Abstract: | We firstly considered the parametric Nash equilibrium problem Γ(x).And then the two-stage leaders and followers game problem G with the parametric Nash equilibrium constraints was given.It is easy to prove that the parametric Nash equilibrium exists.In other words,no matter what the strategy leaders choose,the best reply set of followers is non-empty.Finally,we obtained the existence theorem on a two-stage leaders-followers game equilibrium.. |
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| Keywords: | parametric Nash equilibrium two-stage leaders and followers game existence |
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