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author:

胡勋锋 (胡勋锋.) [1] | 李登峰 (李登峰.) [2]

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Abstract:

鉴于Shapley值和Winter值都是局中人边际贡献的平均值,探究了它们之间的解析关系.证明了Shapley值是Winter值在层次结构集上对称概率分布下的期望均值.作为这一结论的一个推论,证明了Shapley值是Winter值在层次结构集的任意相似类中的平均值.最后,还指出了这一结论与推论的等价性.研究结果不仅扩展了Shapley值和Owen值与此对应的解析关系,还大大简化了这些关系的已有证明.

Keyword:

Owen值 SHAPLEY值 Winter值 合作对策 层次结构 联盟结构

Community:

  • [ 1 ] 福州大学经济与管理学院,福州350108

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Source :

运筹学学报

ISSN: 1007-6093

Year: 2015

Issue: 4

Volume: 19

Page: 114-120

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count: -1

30 Days PV: 1

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