(Peer-Reviewed) A Comprehensive Survey on STP Approach to Finite Games
Daizhan Cheng 程代展 ¹, Yuhu Wu 吴玉虎 ², Guodong Zhao 赵国栋 ³, Shihua Fu 付世华 ⁴
¹ Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100190, China
中国 北京 中国科学院数学与系统科学研究院 系统控制重点实验室
² Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, 116081, China
中国 大连 大连理工大学 工业装备智能控制与优化教育部重点实验室
³ School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, China
中国 济南 山东师范大学数学与统计学院
⁴ School of Mathematical Sciences, Liaocheng University, Liaocheng, 252000, China
中国 聊城 聊城大学数学科学学院
Abstract
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.
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