Weighted Potential Incomplete-Profile Games

被引:6
|
作者
Pan, Yanan [1 ]
Fu, Shihua [1 ]
Zhao, Jianli [1 ]
机构
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252026, Shandong, Peoples R China
来源
IEEE ACCESS | 2020年 / 8卷
关键词
Games; Silicon; Nash equilibrium; Mathematical model; Optimization; Harmonic analysis; Incomplete-profile games; weighted potential subspace; non-strategic subspace; semi-tensor product of matrices; BOOLEAN NETWORKS; CONGESTION GAMES; EVOLUTIONARY; STABILIZATION; CONSENSUS;
D O I
10.1109/ACCESS.2020.2986076
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper the weighted potential incomplete-profile games are studied. First a potential equation with algebraic form is established to check whether an incomplete-profile normal form game (IPNFG) is a weighted potential game with weight S or not, based on which, the potential function can be constructed. Then the weighted potential subspace and the non-strategic subspace and some properties of weighted potential incomplete-profile games are obtained. Finally, an example is given to illustrate our theoretical results.
引用
收藏
页码:67408 / 67415
页数:8
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