H-空间上N-人非协作对策的Nash平衡点的存在性定理 |
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引用本文: | 罗群,孙天翔.H-空间上N-人非协作对策的Nash平衡点的存在性定理[J].贵州师范大学学报(自然科学版),1996,14(4):29-34. |
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作者姓名: | 罗群 孙天翔 |
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作者单位: | [1]贵州师大数学系 [2]贵州安顺师专 |
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摘 要: | 本文给出H-空间上几种对策模型的Nash平衡点的存在性定理,这些结论不仅是Hausdorff拓扑线性空间中相应结论的推广,而且为进一步研究H-空间上对策的解及稳定性打下一定基础。
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关 键 词: | H-空间,Nash平衡点,拟H-凸函数,拟H-凹函数,上(下)半连续 |
EXISTENCE THEOREMS OF NASH EQUILIBRIUM POINTS FOR N PERSON GAMES ON H SPACE |
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Abstract: | In this paper, existence theorems of Nash-equilibrium points for several class game models on H-space are given, the results are not only general for Hausdorff topological vector space but also the fundamentals to study furtherly the existence and stability of games on H-space. |
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Keywords: | H-space Nash-Equilibrium Point Quasi H-Convex Function Quasi H-Concave Function Upper (Lower) Semicontinuous |
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