| 凸合作对策核心的一扩展性质 |
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| 引用本文： | 刘微,李靖,封梅.凸合作对策核心的一扩展性质[J].石家庄铁道学院学报,2010,23(3):41-43. |
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| 作者姓名： | 刘微 李靖 封梅 |
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| 作者单位： | 刘微,封梅(河北化工医药职业技术学院,基础部,河北,石家庄,050026);李靖(石家庄铁路职业技术学院,信息工程系,河北,石家庄,050041) |
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| 基金项目： | 河北省自然科学基金资助项目 |
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| 摘 要： | 以超微分同性质凹函数及支撑函数作为性质的扩展载体，将凸合作对策的性质与其经典解核心联系起来，从而得到凸合作对策非空核心的一扩展性质，即其核心满足Minkowski和与Minkowski差。
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| 关 键 词： | 合作对策 核心 Minkowski和 支撑函数 |
Extension Character of Core Solution of Convex Cooperative Game |
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| Liu Wei,Li Jing,Feng Mei.Extension Character of Core Solution of Convex Cooperative Game[J].Journal of Shijiazhuang Railway Institute,2010,23(3):41-43. |
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| Authors: | Liu Wei Li Jing Feng Mei |
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| Institution: | 1. Hebei Chemical ＆ Pharmaceutical Vocational Technology College, Shijiazhuang 050026, 2. Shijiazhuang Institute of Railway Technology, Shijiazhuang 050041, China) |
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| Abstract: | Using the superdifferential of homogeneous concave function and support function as an extension carrier of nature, by linking the convex cooperative game to the classical solution, a special character of an extension solution of the convex cooperative game is obtained. If a convex cooperative game can decompose as a difference or sum of convex games, then the core satisfies the Minkowski sum and Minkowski difference. |
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| Keywords: | cooperative game core Minkowski sum support function |
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