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| Multilayer Evolutionary Networked Games Base on Semi-Tensor Product |
| WU Liqin, WANG Jinhuan, XU Yong
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| School of Sciences, Hebei University of Technology, Tianjin 300401, China |
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Abstract Using the semi-tensor product method, this paper investigates the algebraic formulation and strategy optimization for a class of multilayer evolutionary networked games with “myopic best response adjustment” rules. Firstly, the dynamics of the multilayer evolutionary networked game is converted to formulate for the game. Secondly, based on the algebraic form, the dynamic behavior of the multilayer evolutionary networked games is discussed. Finally, the strategy optimization problem is considered by adding a pseudo-player. The aim is to design optimal control sequence to maximize the average income of pseudo-players. An illustrative example shows the effectiveness of this paper.
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Received: 21 December 2016
Published: 10 January 2019
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