典型文献
Orthogonal Decomposition of Incomplete-Profile Finite Game Space
文献摘要:
This work studies the orthogonal decomposition of the incomplete-profile normal finite game (IPNFG) space using the method of semi-tensor product (STP) of matrices.Firstly,by calculating the rank of the incomplete-profile potential matrix,the bases of incomplete-profile potential game subspace (GΩP) and incomplete-profile non-strategic game subspace (NΩ) are obtained.Then the bases of incomplete-profile pure potential game subspace (PΩ) and incomplete-profile pure harmonic game subspace (HΩ) are also revealed.These bases offer an expression for the orthogonal decomposition.Finally,an example is provided to verify the theoretical results.
文献关键词:
中图分类号:
作者姓名:
DAI Xiaoyan;WANG Jinhuan;XU Yong
作者机构:
School of Science,Hebei University of Technology,Tianjin 300401,China
文献出处:
引用格式:
[1]DAI Xiaoyan;WANG Jinhuan;XU Yong-.Orthogonal Decomposition of Incomplete-Profile Finite Game Space)[J].系统科学与复杂性学报(英文版),2022(06):2208-2222
A类:
IPNFG
B类:
Orthogonal,Decomposition,Incomplete,Profile,Finite,Game,Space,This,work,studies,orthogonal,decomposition,incomplete,profile,normal,finite,game,using,method,semi,tensor,product,STP,matrices,Firstly,by,calculating,rank,potential,matrix,bases,subspace,strategic,are,obtained,Then,pure,harmonic,also,revealed,These,offer,expression,Finally,example,provided,verify,theoretical,results
AB值:
0.542816
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