| 多选择NTU结构对策下的社会稳定核心 |
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| 引用本文： | 田海燕,王志巍,郑小伟,张刚.多选择NTU结构对策下的社会稳定核心[J].运筹与管理,2017,26(2):49-56. |
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| 作者姓名： | 田海燕 王志巍 郑小伟 张刚 |
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| 作者单位： | 1.西北工业大学 理学院应用数学系,陕西 西安 710072; 2.河北师范大学 数学与信息科学学院,河北 石家庄 050024 |
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| 基金项目： | 河北省自然科学基金资助项目(A2014205152) |
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| 摘 要： | 本文研究了多选择情形下NTU结构对策及其社会稳定核心的理论和应用。定义了多选择NTU结构对策的转移率规则和支付依赖平衡性质,给出了K-K-M-S定理在多选择NTU结构对策下的一个扩展形式,并用扩展后的K-K-M-S定理证明了如果转移率规则包含某些力量函数值,且多选择NTU结构对策关于转移率规则是支付依赖平衡的,则多选择NTU结构对策的社会稳定核心是非空的。
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| 关 键 词： | 多选择NTU对策 结构对策 核心 K-K-M-S定理 支付依赖平衡 |
| 收稿时间： | 2015-11-21 |
Social Stable Cores for Multi-choice NTU Structured Games |
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| TIAN Hai-yan,WANG Zhi-wei,ZHENG Xiao-wei,ZHANG Gang.Social Stable Cores for Multi-choice NTU Structured Games[J].Operations Research and Management Science,2017,26(2):49-56. |
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| Authors: | TIAN Hai-yan WANG Zhi-wei ZHENG Xiao-wei ZHANG Gang |
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| Affiliation: | 1.Department of Applied Mathematics, School of Science Northwestern Polytechnical University, Xi’an 710072, China; 2.College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China |
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| Abstract: | This paper deals with the theory and applications of multi-choice NTU structured games and socially stable cores. Transfer rate rule and payoff-dependent balancedness for multi-choice NTU structured games are introduced and an extension of K-K-M-S theorem is provided in multi-choice NTU structured games. By using the extension of K-K-M-S theorem, we prove that if transfer rate rule includes some values of power functions, and a multi-choice NTU structured game is payoff-dependent balanced with respect of the rule,then the game has a non-empty socially stable core.
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| Keywords: | multi-choice NTU games structured games cores K-K-M-S theorem payoff-dependent balancedness |
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