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Strategy Consensus of Networked Evolutionary Games with Time Invariant Delays

Author

Listed:
  • Zhiru Wang

    (Liaocheng University)

  • Shihua Fu

    (Liaocheng University)

  • Jianjun Wang

    (Liaocheng University)

  • Xiaoyu Zhao

    (Shandong University)

Abstract

This paper investigates the strategy consensus of networked evolutionary games with time invariant delays (DNEGs) in strategies, and presents a number of new results. Firstly, the model of DNEGs is proposed, then the algebraic form is constructed for DNEGs whose strategy updating rule is myopic best response adjustment by using the semi-tensor product method. Secondly, based on the algebraic form, the strategy consensus problem of DNEGs is discussed, and a criterion is given to detect whether DNEGs can achieve strategy consensus by means of a strategy regulation approach. Furthermore, the state feedback controllers are designed to realize the strategy consensus of DNEGs. Finally, an illustrative example is given to show the effectiveness of the obtained results.

Suggested Citation

  • Zhiru Wang & Shihua Fu & Jianjun Wang & Xiaoyu Zhao, 2024. "Strategy Consensus of Networked Evolutionary Games with Time Invariant Delays," Dynamic Games and Applications, Springer, vol. 14(4), pages 981-996, September.
    • Handle: RePEc:spr:dyngam:v:14:y:2024:i:4:d:10.1007_s13235-023-00522-x
    DOI: 10.1007/s13235-023-00522-x
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    References listed on IDEAS

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