| STRUCTURES OF VALUES FOR SET GAMES RESTRICTED BY PARTITION SYSTEM |
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| 引用本文： | Sun Hao. STRUCTURES OF VALUES FOR SET GAMES RESTRICTED BY PARTITION SYSTEM[J]. 高校应用数学学报(英文版), 2006, 21(1): 119-125. DOI: 10.1007/s11766-996-0031-2 |
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| 作者姓名： | Sun Hao |
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| 作者单位： | Dept．of Appl．Math．,Northwestern Polytechnical Univ．,Shaanxi 710072,China |
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| 基金项目： | The Project Sponsored by R0CS, SEM and by NNSF of China （70571065）. |
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| 摘 要： | §1IntroductionA cooperative game with transferable utility(TU)is a pair(N,v),where N is anonempty,finite set and v∶2N→R is a characteristic function defined on the power set ofN satisfying v()∶=0.LetCGdenote the set of all cooperative TU-games with anarbitrary player set.An element of N(notation:i∈N)and a nonempty subset S of N(notation:S N or S∈2Nwith S≠)are called a player and coalition respectively,andthe associated real number v(S)is called the worth of coalition S to be in…
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| 关 键 词： | 博弈集合 分区系统 IM值 ICM值 单调集 |
| 收稿时间： | 2005-01-19 |
Structures of values for set games restricted by partition system |
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| Sun Hao. Structures of values for set games restricted by partition system[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(1): 119-125. DOI: 10.1007/s11766-996-0031-2 |
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| Authors: | Sun Hao |
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| Affiliation: | (1) Dept. of Appl. Math., Northwestern Polytechnical Univ., 710072 Shaanxi, China |
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| Abstract: | A set game, in which the worth of a coalition is expressed by a set instead of a real number, is a new type of cooperative game. A F-restricted set game is a set game restricted by partition system. The main theorems show the structures of IM-value,OIM-value,SCM-value and ICM-value respectively,and the equivalency of IM value and the OIM-value for monotonic set games restricted by partition system as well. |
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| Keywords: | F-restricted set game partition system value. |
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