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Strategy Consensus of Networked Evolutionary Games Based on Network Aggregation and Pinning Control

Author

Listed:
  • Haitao Li

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China)

  • Zhenping Geng

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China)

  • Mengyuan Qin

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China)

Abstract

The computational complexity of large-scale networked evolutionary games has become a challenging problem. Based on network aggregation and pinning control methods, this paper investigates the problem of control design for strategy consensus of large-scale networked evolutionary games. The large-size network is divided into several small subnetworks by the aggregation method, and a pinning control algorithm is proposed to achieve the strategy consensus of small subnetworks. Then, the matchable condition between the small subnetworks is realized by the input–output control. Finally, some sufficient conditions as well as an algorithm are proposed for the strategy consensus of large-scale networked evolutionary games.

Suggested Citation

  • Haitao Li & Zhenping Geng & Mengyuan Qin, 2025. "Strategy Consensus of Networked Evolutionary Games Based on Network Aggregation and Pinning Control," Games, MDPI, vol. 16(1), pages 1-14, February.
    • Handle: RePEc:gam:jgames:v:16:y:2025:i:1:p:10-:d:1588330
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