| Ky Fan点集的本质连通区 |
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| 引用本文： | 俞建,罗群.Ky Fan点集的本质连通区[J].应用数学学报,2000,23(2):294-298. |
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| 作者姓名： | 俞建 罗群 |
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| 作者单位： | 1. 贵州省科委,贵阳,550002
2. 西江大学数学系,肇庆,526061 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | 本文首先引入了Ｋｙ Ｆａｎ点集本质连能区的概念，证明了对任一满足一定凸性和连续性条件的函数，其Ｋｙ Ｆａｎ点集至少存在一个本质连能区．作为应用，我们推出地任何一般ｎ人非合伯对策（其支付函数满足一些凸性和连续性条件），其Ｎａｓｈ平衡点集至少存在一个本质连通区．
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| 关 键 词： | Ky Fan点 本质连能区 Nash平衡点 n人非合作对策 |
ON ESSENTIAL COMPONENTS OF THE SET OF KY FAN'S POINTS |
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| YU JIAN,LUO QUN.ON ESSENTIAL COMPONENTS OF THE SET OF KY FAN'S POINTS[J].Acta Mathematicae Applicatae Sinica,2000,23(2):294-298. |
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| Authors: | YU JIAN LUO QUN |
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| Abstract: | In this paper the concept of essential connected components of the set of Ky Fan's points is first introduced. We prove that for any function which satisfies some convexity and continuity conditions, there exists at least one essential connected component of the set of Ky Fan's points. As a consequence, we deduced that for any general noncooperative n-person game (satisfies some convexity and continuity conditions), there exists at least one essential connected component of the set of Nash equilibrium points. |
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| Keywords: | Ky Fan's points essential connected component Nash equilibria n-person noncooperative game |
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