A Comprehensive Survey on STP Approach to Finite Games

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...

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Published inJournal of systems science and complexity Vol. 34; no. 5; pp. 1666 - 1680
Main Authors Cheng, Daizhan, Wu, Yuhu, Zhao, Guodong, Fu, Shihua
Format Journal Article
LanguageEnglish
Published Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.10.2021
Springer Nature B.V
Subjects
Artificial intelligence
Complex Systems
Control
Games
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
Systems Theory
Tensors
Finite game
potential game
game-theoretic control
vector space structure of finite game
semi-tensor product
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-021-1232-8