帮助 关于我们

返回检索结果

A Comprehensive Survey on STP Approach to Finite Games

查看参考文献75篇

文摘 Nowadays the semi-tensor product(STP)approach to finite games has become a promising new direction. This paper provides a comprehensive survey on this prosperous field. After a brief introduction for STP and finite(networked)games, a description for the principle and fundamental technique of STP approach to finite games is presented. Then several problems and recent results about theory and applications of finite games via STP are presented. A brief comment about the potential use of STP to artificial intelligence is also proposed.
来源 Journal of Systems Science and Complexity ,2021,34(5):1666-1680 【核心库】
DOI 10.1007/s11424-021-1232-8
关键词 Finite game ; game-theoretic control ; potential game ; semi-tensor product ; vector space structure of finite game
地址

1. Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Key Laboratory of Systems and Control, Chinese Academy of Sciences, Beijing, 100190  

2. Dalian University of Technology, Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian, 116081  

3. School of Mathematics and Statistics, Shandong Normal University, Ji'nan, 250014  

4. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252000

语种 英文
文献类型 研究性论文
ISSN 1009-6124
学科 数学
基金 supported partly by the National Natural Science Foundation of China(NSFC)
文献收藏号 CSCD:7131832

参考文献 共 75 共4页

1.  Wiener N. Cybernetics or Control of and Communication in the Animal and the Machine,1948 被引 1    
2.  Neumann J V. Theory of Games and Economic Behavior,1944 被引 12    
3.  Nash J. Non-cooperative game. The Annals of Mathematics,1951,54(2):286-295 被引 152    
4.  Gale D. Colle admissions and the stability of marriage. American Math. Monthly,1962,69:9-15 被引 161    
5.  Guo L. Some comments on the development of control theory. Journal of Systems Science and Mathematical Sciences. (in Chinese),2011,31(9):1014-1018 被引 1    
6.  Basar T. Dynamic Noncooperative Game Theory, 2nd Edition,1999 被引 1    
7.  Zhang R R. On game-based control systems and beyond. Nat. Sci. Rev,2020,7:1116-1117 被引 2    
8.  Marden J R. Cooperative control and potential games. IEEE Trans. Sys., Man, Cybernetcs, Part B,2009,39(6):1393-1407 被引 24    
9.  Gibbons R. A Primer in Game Theory,1992 被引 27    
10.  Bilbao J M. Cooperative Games on Combinatorial Structures,2000 被引 7    
11.  Cheng D Z. Analysis and Control of Boolean Networks: A Semi-tensor Product Approach,2011 被引 46    
12.  Cheng D Z. An Introduction to Semi-tensor Product of Matrices and Its Applications,2012 被引 44    
13.  Guo P L. Algebraic formulation and strategy optimization for a class of evolutionary networked games via semi-tensor product method. Automatica,2013,49:3384-3389 被引 22    
14.  Cheng D Z. Modeling, analysis and control of networked evolutionary games. IEEE Trans. Aut. Contr,2015,60(9):2402-2415 被引 44    
15.  Zhao G D. Modelling and strategy consensus for a class of networked evolutionary games. Int. J. Sys. Sci,2018,49(12):2548-2557 被引 3    
16.  Monderer D. Potential games. Games and Economic Behavior,1996,14:124-143 被引 96    
17.  Gopalakrishnan R. An architectural view of game theoretic control. Performance Evaluation Review,2011,38(3):31-36 被引 8    
18.  Hino Y. An improved algorithm for detecting potential games. Int. J. Game Theory,2011,40:199-205 被引 5    
19.  Hofbauer J. A differential game approach to evolutionary equilibrium selection. Int. Game Theory Rev,2002,4:17-31 被引 2    
20.  Cheng D Z. On finite potential games. Automatica,2014,50(7):1793-1801 被引 30    
引证文献 5

1 延卫军 A*算法的代数表示 系统科学与数学,2022,42(6):1478-1489
被引 0 次

2 李志强 基于半张量积的双合作博弈Shapley值计算 中国科学. 信息科学,2022,52(7):1302-1316
被引 0 次

显示所有5篇文献

论文科学数据集
PlumX Metrics
相关文献

 作者相关
 关键词相关
 参考文献相关

版权所有 ©2008 中国科学院文献情报中心 制作维护:中国科学院文献情报中心
地址:北京中关村北四环西路33号 邮政编码:100190 联系电话:(010)82627496 E-mail:cscd@mail.las.ac.cn 京ICP备05002861号-4 | 京公网安备11010802043238号