A Comprehensive Survey on STP Approach to Finite Games  

作　　者：CHENG Daizhan WU Yuhu ZHAO Guodong FU Shihua 

机构地区：[1]Key Laboratory of Systems and Control,Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences,Beijing 100190,China. [2]Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education,Dalian University of Technology,Dalian 116081,China [3]School of Mathematics and Statistics,Shandong Normal University,Jinan 250014,China. [4]School of Mathematical Sciences,Liaocheng University,Liaocheng 252000,China

出　　处：《Journal of Systems Science & Complexity》2021年第5期1666-1680,共15页系统科学与复杂性学报（英文版）

基　　金：the National Natural Science Foundation of China(NSFC)under Grant Nos.62073315,61074114,and 61273013。

摘　　要：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.

关 键 词：Finite game game-theoretic control potential game semi-tensor product vector space structure of finite game 

分 类 号：O225[理学—运筹学与控制论]