Semi-tensor product approach for partially symmetric games  

作　　者：Lei Wang Jiandong Zhu 

机构地区：[1]School of Mathematical Sciences,Nanjing Normal University,Nanjing,People’s Republic of China

出　　处：《Journal of Control and Decision》2024年第1期98-106,共9页控制与决策学报（英文）

基　　金：the National Natural Science Foundation of China under Grants 61673012 and 11971240,respectively。

摘　　要：In this paper,a criterion for the partially symmetric game(PSG)is derived by using the semitensor product approach.The dimension and the basis of the linear subspace composed of all the PSGs with respect to a given set of partial players are calculated.The testing equations with the minimum number are concretely determined,and the computational complexity is analysed.Finally,two examples are displayed to show the theoretical results.

关 键 词：Partially symmetric game semi-tensor product of matrices adjacent transpositions 

分 类 号：O17[理学—数学]