| 凸对策核仁的非空性及合成凸对策核仁的单调性 |
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| 引用本文： | 刘广智,王菲,张盛开.凸对策核仁的非空性及合成凸对策核仁的单调性[J].应用数学,2001(Z1). |
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| 作者姓名： | 刘广智 王菲 张盛开 |
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| 作者单位： | [1]大连轻工业学院基础部 [2]大连轻工业学院基础部 辽宁大连 [3]辽宁大连 |
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| 基金项目： | 国家自然科学基金资助项目 79870 0 2 5 . |
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| 摘 要： | 本文给出了核仁与核及最小核心之间的关系 ,且证明了凸对策核仁的存在性和唯一性 ,证明了凸对策的合成对策仍是凸对策 .最后 ,我们讨论了合成凸对策的核仁不满足单调性 .
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| 关 键 词： | 核仁 凸对策 合成凸对策 单调性 |
The Nonempty of Nucleolus in Convex Games and the Monotonicity in Composition Convex Games |
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| LIU Guang-zhi,WANG Fei,ZHANG Sheng-kai.The Nonempty of Nucleolus in Convex Games and the Monotonicity in Composition Convex Games[J].Mathematica Applicata,2001(Z1). |
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| Authors: | LIU Guang-zhi WANG Fei ZHANG Sheng-kai |
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| Abstract: | This paper presents the relation of nucleolus and rernel and leastcore, demonstrates the existence and uniqueness of nucleolus of convex games and that convex linear combination of convex games is atill convex games, and finally proves that nucleolus have nonmonotonicity in the composition convex games. |
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| Keywords: | Nucleolus Convex games Composition convex games Monotonicity |
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