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
|
CSCD被引
1
次
|
|
|
|
2.
Neumann J V.
Theory of Games and Economic Behavior,1944
|
CSCD被引
12
次
|
|
|
|
3.
Nash J. Non-cooperative game.
The Annals of Mathematics,1951,54(2):286-295
|
CSCD被引
154
次
|
|
|
|
4.
Gale D. Colle admissions and the stability of marriage.
American Math. Monthly,1962,69:9-15
|
CSCD被引
168
次
|
|
|
|
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
|
CSCD被引
4
次
|
|
|
|
6.
Basar T.
Dynamic Noncooperative Game Theory, 2nd Edition,1999
|
CSCD被引
3
次
|
|
|
|
7.
Zhang R R. On game-based control systems and beyond.
Nat. Sci. Rev,2020,7:1116-1117
|
CSCD被引
2
次
|
|
|
|
8.
Marden J R. Cooperative control and potential games.
IEEE Trans. Sys., Man, Cybernetcs, Part B,2009,39(6):1393-1407
|
CSCD被引
25
次
|
|
|
|
9.
Gibbons R.
A Primer in Game Theory,1992
|
CSCD被引
28
次
|
|
|
|
10.
Bilbao J M.
Cooperative Games on Combinatorial Structures,2000
|
CSCD被引
7
次
|
|
|
|
11.
Cheng D Z.
Analysis and Control of Boolean Networks: A Semi-tensor Product Approach,2011
|
CSCD被引
47
次
|
|
|
|
12.
Cheng D Z.
An Introduction to Semi-tensor Product of Matrices and Its Applications,2012
|
CSCD被引
47
次
|
|
|
|
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
|
CSCD被引
23
次
|
|
|
|
14.
Cheng D Z. Modeling, analysis and control of networked evolutionary games.
IEEE Trans. Aut. Contr,2015,60(9):2402-2415
|
CSCD被引
44
次
|
|
|
|
15.
Zhao G D. Modelling and strategy consensus for a class of networked evolutionary games.
Int. J. Sys. Sci,2018,49(12):2548-2557
|
CSCD被引
3
次
|
|
|
|
16.
Monderer D. Potential games.
Games and Economic Behavior,1996,14:124-143
|
CSCD被引
107
次
|
|
|
|
17.
Gopalakrishnan R. An architectural view of game theoretic control.
Performance Evaluation Review,2011,38(3):31-36
|
CSCD被引
8
次
|
|
|
|
18.
Hino Y. An improved algorithm for detecting potential games.
Int. J. Game Theory,2011,40:199-205
|
CSCD被引
5
次
|
|
|
|
19.
Hofbauer J. A differential game approach to evolutionary equilibrium selection.
Int. Game Theory Rev,2002,4:17-31
|
CSCD被引
2
次
|
|
|
|
20.
Cheng D Z. On finite potential games.
Automatica,2014,50(7):1793-1801
|
CSCD被引
31
次
|
|
|
|
|