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集合对策中值的标准性与分配方案的单调性 被引量:4

THE STANDARD PROPERTY AND THE MONOTONIC ALLOCATION SCHEMES OF VALUES FOR SET GAMES
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摘要 本文介绍了合作对策中一种新的类型-集合对策,讨论了集合对策中三种分配方案的性质,证明了边缘贡献值和联盟力量值具有二人分配的标准性与分配方案的单调性,而共享边缘贡献值仅具有分配方案的单调性。 A new type of cooperative games - set games are introduced in this paper. For the three main values in set games, we discussed their properties. It is proved that the maxginalistic contribution value and the coalitional power value satisfy the standard property and the monotonic allocatiion schemes. But the co-marginalistic contribution value only satisfies the monotonic allocation schemes.
出处 《应用数学学报》 CSCD 北大核心 2003年第3期566-573,共8页 Acta Mathematicae Applicatae Sinica
关键词 集合对策 标准性 分配方案 单调性 联盟力量值 边缘贡献值 Value, monotonic allocation schemes, standard
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参考文献12

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