Hot Paper - A Comprehensive Survey on STP Approach to Finite Games

A Comprehensive Survey on STP Approach to Finite Games

关于有限博弈的 STP 方法的综合调查
有限ゲームへのSTPアプローチに関する包括的な調査
유한 게임에 대한 STP 접근 방식에 대한 종합 조사
Una encuesta completa sobre el enfoque STP para juegos finitos
Une enquête complète sur l'approche STP des jeux finis
Комплексный обзор подхода STP к конечным играм

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

https://doi.org/10.1007/s11424-021-1232-8

https://link.springer.com/article/10.1007%2Fs11424-021-1232-8

Journal of Systems Science and Complexity, 26 October 2021

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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