A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 5 Issue 4
Jul.  2018

IEEE/CAA Journal of Automatica Sinica

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Guodong Zhao, Yuzhen Wang and Haitao Li, "A Matrix Approach to the Modeling and Analysis of Networked Evolutionary Games With Time Delays," IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 818-826, July 2018. doi: 10.1109/JAS.2016.7510259
Citation: Guodong Zhao, Yuzhen Wang and Haitao Li, "A Matrix Approach to the Modeling and Analysis of Networked Evolutionary Games With Time Delays," IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 818-826, July 2018. doi: 10.1109/JAS.2016.7510259

A Matrix Approach to the Modeling and Analysis of Networked Evolutionary Games With Time Delays

doi: 10.1109/JAS.2016.7510259
Funds:

the National Natural Science Foundation of China 61503225

the Natural Science Foundation of Shandong Province ZR2015FQ003

the Natural Science Foundation of Shandong Province ZR201709260273

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  • Using the semi-tensor product method, this paper investigates the modeling and analysis of networked evolutionary games (NEGs) with finite memories, and presents a number of new results. Firstly, a kind of algebraic expression is formulated for the networked evolutionary games with finite memories, based on which the behavior of the corresponding evolutionary game is analyzed. Secondly, under a proper assumption, the existence of Nash equilibrium of the given networked evolutionary games is proved and a free-type strategy sequence is designed for the convergence to the Nash equilibrium. Finally, an illustrative example is worked out to support the obtained new results.

     

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