SURVEY ON APPLICATIONS OF SEMI-TENSOR PRODUCT METHOD IN NETWORKED EVOLUTIONARY GAMES

Guodong Zhao; Haitao Li; Peiyong Duan; Fuad E. Alsaadi

doi:10.11948/20180201

2020 Volume 10 Issue 1

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Guodong Zhao, Haitao Li, Peiyong Duan, Fuad E. Alsaadi. SURVEY ON APPLICATIONS OF SEMI-TENSOR PRODUCT METHOD IN NETWORKED EVOLUTIONARY GAMES[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 32-54. doi: 10.11948/20180201

Citation:

Guodong Zhao, Haitao Li, Peiyong Duan, Fuad E. Alsaadi. SURVEY ON APPLICATIONS OF SEMI-TENSOR PRODUCT METHOD IN NETWORKED EVOLUTIONARY GAMES[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 32-54. doi: 10.11948/20180201

SURVEY ON APPLICATIONS OF SEMI-TENSOR PRODUCT METHOD IN NETWORKED EVOLUTIONARY GAMES

1.
School of Mathematics and Statistics, Shandong Normal University, 250014 Jinan, China
2.
School of Information Science and Engineering, Shandong Normal University, 250014 Jinan, China
3.
Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, 21589 Jeddah, Saudi Arabia

Corresponding author: Email address: haitaoli09@gmail.com(H. Li)
Fund Project: The authors were supported by the Natural Science Foundation of Shandong Province under grants ZR2018BA001 and ZR2015FQ003, the National Natural Science Foundation of China under grants 61903237, 61873150 and 61773246, the Natural Science Fund for Distinguished Young Scholars of Shandong Province under grant JQ201613, and the Young Experts of Taishan Scholar Project

Abstract

Abstract

Semi-tensor product (STP) method of matrices has received more and more attention from the communities of both engineering and economics in recent years. This paper presents a comprehensive survey on the applications of STP method in the theory of networked evolutionary games. In the beginning, some preliminary results on STP method are recalled. Then, the applications of STP method in many kinds of networked evolutionary games, such as general networked evolutionary games, networked evolutionary games with finite memories, networked evolutionary games defined on finite networks, and random networked evolutionary games, are reviewed. Finally, several research problems in the future are predicted.
- Semi-tensor product method of matrices /
- networked evolutionary games /
- random games /
- logical networks /
- algebraic formulation
MSC: 91-XX, 93-XX

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References

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