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

Haitao Li, Zhenping Geng and Mengyuan Qin ()
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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

Games, 2025, vol. 16, issue 1, 1-14

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.

Keywords: networked evolutionary games; network aggregation; pinning control; strategy consensus; semi-tensor product of matrices (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2025
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