| GF-空间上Nash平衡的存在性结果 |
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| 引用本文： | 计伟,张珺铭.GF-空间上Nash平衡的存在性结果[J].西南民族大学学报(自然科学版),2016,42(6):688-691. |
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| 作者姓名： | 计伟 张珺铭 |
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| 作者单位： | 贵州建设职业技术学院,贵州建设职业技术学院 |
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| 摘 要： | 在抽象凸空间中,给出GF-空间和强Fan-Browder不动点性质的定义,并且在GF-空间中,应用抽象函数代替实值函数作为博弈支付函数,构造GF-空间中博弈模型,应用强Fan-Browder不动点性质证明GF-空间上博弈模型Nash均衡点的存在性.同时也证明了在度量空间和紧拓扑空间上的闭值KKM映射具有有限交性质.
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| 关 键 词： | GF-空间 Nash平衡点 不动点性质 博弈模型 |
| 收稿时间： | 2016/4/17 0:00:00 |
| 修稿时间： | 2016/4/21 0:00:00 |
Result of Nash equilibrium existence in the GF-space |
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| jiwei and zhangjunming.Result of Nash equilibrium existence in the GF-space[J].Journal of Southwest University for Nationalities(Natural Science Edition),2016,42(6):688-691. |
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| Authors: | jiwei and zhangjunming |
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| Institution: | Guizhou Polytechnic of Cnstruction,Guizhou Polytechnic of Cnstruction |
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| Abstract: | In the abstract convex space, the definitions of GF-space and property of strong Fan-Browder fixed point are given. And in GF-space, real value function is used, instead of abstract function, as game pay function to construct game model in GF space. The property of Strong Fan-Browder fixed point is used to prove the existence of Nash Equilibrium Point of game model in GF-Space and the property of finite commutation of the closed KKM mapping is proved in metric space and compact space. |
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| Keywords: | GF-Space Nash equilibrium property of fixed point game model |
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