| 多选择NTU对策核心的一个非空条件及公理化 |
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| 引用本文： | 田海燕,张刚. 多选择NTU对策核心的一个非空条件及公理化[J]. 运筹学学报, 2015, 19(4): 97-106. DOI: 10.15960/j.cnki.issn.1007-6093.2015.04.009 |
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| 作者姓名： | 田海燕 张刚 |
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| 作者单位： | 1. 西北工业大学应用数学系, 西安 710072; 2. 河北师范大学数学与信息科学学院, 石家庄 050024 |
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| 基金项目： | 河北省自然科学基金(No. A2014205152) |
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| 摘 要： | 提出了pi-均衡多选择NTU对策的概念,证明了pi-均衡多选择NTU对策的核心非空, 定义了多选择NTU对策的非水平性质和缩减对策,给出了相容性和逆相容性等概念. 用个体合理性、单人合理性、相容性和逆相容性对非水平多选择NTU对策的核心进行了公理化.
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| 关 键 词： | 多选择NTU对策 核心 pi-均衡 相容性 |
| 收稿时间： | 2015-02-06 |
A non-empty condition and an axiomatizationfor the core of multi-choice NTU games |
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| TIAN Haiyan,ZHANG Gang. A non-empty condition and an axiomatizationfor the core of multi-choice NTU games[J]. OR Transactions, 2015, 19(4): 97-106. DOI: 10.15960/j.cnki.issn.1007-6093.2015.04.009 |
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| Authors: | TIAN Haiyan ZHANG Gang |
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| Affiliation: | 1.Department of Applied Mathematics, 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 introduces the conceptof pi-balanced multi-choice NTU games and proves that any pi-balanced multi-choice NTU game hasa non-empty core. The definitions of non-leveled multi-choice NTU games and reduced games are introduced and theconcepts of consistency and converse consistency are also given. An axiomatization for the core ofnon-leveled multi-choice NTU games is provided by using individual rationality, one-person rationality,consistency and converse consistency. |
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| Keywords: | multi-choice NTU games cores pi-balancedness consistency |
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