decisionimplementationcomplexityofcooperativegamesystems

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	decisionimplementationcomplexityofcooperativegamesystems
	Xu Changbao; Zhao Yanlong; Zhang Jifeng
	2017
发表期刊	sciencechinainformationscience
ISSN	1674-733X
卷号	060 期号:011 页码:112201
摘要	This paper focuses on the decision-implementation complexity （DIC） of cooperative games. The complexity of a control law is a fundamental issue in practice because it is closely related to control cost. First, we formulate implementation measures of strategies as system control protocols. Then, for a class of cooperative games, a decision-implementation system model is established, and an energy-based DIG index is given as the energy expectation under Nash equilibrium strategies. A definition of DIC is presented to describe the optimal values of the DIC index. DIC is calculated by the exhaust algorithm in some specific cases, whereas the one for general cases is too complex to be calculated. In order to obtain a general calculation method, the problem is described in the form of matrices; an analytical expression describing DIC is obtained by using the properties of matrix singular values. Furthermore, when only partial information of actions is shared among players, DIC can be reduced and an improved protocol can be designed as a two-phase protocol. A numerical example is given to show that the DIC obtained in this study is the same as the one obtained by the exhaust algorithm, and that the calculation complexity of the proposed algorithm is much lower.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/36290
专题	系统科学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Xu Changbao,Zhao Yanlong,Zhang Jifeng. decisionimplementationcomplexityofcooperativegamesystems[J]. sciencechinainformationscience,2017,060(011):112201.
APA	Xu Changbao,Zhao Yanlong,&Zhang Jifeng.(2017).decisionimplementationcomplexityofcooperativegamesystems.sciencechinainformationscience,060(011),112201.
MLA	Xu Changbao,et al."decisionimplementationcomplexityofcooperativegamesystems".sciencechinainformationscience 060.011(2017):112201.