Formulation and optimization control of a class of networked evolutionary games with switched topologies |
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| Affiliation: | 1. Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga-koen, Kasuga-shi, Fukuoka 816-8580, Japan;2. Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh;3. Faculty of Engineering Sciences, Kyushu University, Kasuga-koen, Kasuga-shi, Fukuoka 816-8580, Japan;1. Center for Ecology and Environmental Sciences, Northwestern Polytechnical University, Xi''an 710072, China;2. School of Mechanical Engineering, Northwestern Polytechnical University, Xi''an 710072, China;3. School of Computer Science, Northwestern Polytechnical University, Xi''an 710072, China;4. Tangnan Middle School, Xi''an 710072, China;5. Cyberspace Institute of Advanced Technology, Guangzhou University, Guangzhou 510006, China;6. School of Computer Science, National University of Defense Technology, Changsha 410073, Hunan, China;1. Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin 300384, PR China;2. Key Laboratory of Computer Vision and System (Ministry of Education), Tianjin University of Technology, Tianjin 300384, PR China |
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| Abstract: | This paper studies the algebraic formulation and optimization control for a class of networked evolutionary games with switched topologies via the semi-tensor product method. First, an algebraic expression is formulated for the given networked evolutionary games, based on which, the behavior of corresponding evolutionary games is analyzed. Then, under some certain assumptions, the existence of fixed points for the given systems is proved and a free-type control sequence is designed to guarantee the best strategy profile reachable globally. Finally, an illustrative example is studied to support our new results. |
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| Keywords: | Networked evolutionary games Switched topologies Algebraic formulation Strategy optimization Semi-tensor product of matrix |
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