凸合作对策核心的一扩展性质 |
Extension Character of Core Solution of Convex Cooperative Game |
投稿时间:2009-12-14 |
中文关键词:合作对策 核心 Minkowski和 支撑函数 |
英文关键词:cooperative game core Minkowski sum support function |
基金项目:河北省自然科学基金资助项目(A2005000301) |
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中文摘要: |
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。 |
英文摘要: |
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. |
刘微,李靖,封梅.凸合作对策核心的一扩展性质[J].石家庄铁道大学学报(自然科学版),2010,(3):41-43. |
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