Survey on applications of semi-tensor product method in networked evolutionary games |
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| Authors: | Guodong Zhao Haitao Li Peiyong Duan and Fuad E Alsaadi |
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| Institution: | School of Mathematics and Statistics, Shandong Normal University, 250014 Jinan, China,School of Mathematics and Statistics, Shandong Normal University, 250014 Jinan, China,School of Information Science and Engineering, Shandong Normal University, 250014 Jinan, China and Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, 21589 Jeddah, Saudi Arabia |
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| 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. |
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| Keywords: | Semi-tensor product method of matrices networked evolutionary games random games logical networks algebraic formulation |
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