On Symmetric Games With Respect to a Permutation Group

IF 2.3 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IET Control Theory and Applications Pub Date : 2025-09-22 DOI:10.1049/cth2.70076

Lei Wang, Jiandong Zhu

引用次数: 0

Abstract

This paper presents the first study on the discrimination problem of symmetric games with respect to a permutation group. Based on the algebraic representation of games, the necessary and sufficient conditions for symmetric games with respect to a permutation group are first derived. Subsequently, by the properties of the semi-tensor product of matrices and swap matrices, a minimal discriminant equation system comprising the fewest equations for verifying symmetric games with respect to a permutation group is constructed. Finally, three examples are provided to illustrate the main theoretical results presented of the paper.

Abstract Image

查看原文本刊更多论文

关于置换群的对称对策

本文首次研究了关于置换群的对称对策的判别问题。基于博弈的代数表示，首先导出了关于置换群的对称博弈的充分必要条件。随后，利用矩阵和交换矩阵的半张量积的性质，构造了一个包含最小方程的最小判别方程组，用于验证关于置换群的对称对策。最后，通过三个算例说明本文的主要理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

IET Control Theory and Applications 工程技术-工程：电子与电气

CiteScore

5.70

自引率

7.70%

发文量

167

审稿时长

5.1 months

期刊介绍： IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.