摘要
This paper investigates the networked evolutionary games(NEGs)with profile-dependent delays,including modeling and stability analysis.Profile-dependent delay,which varies with the game profiles,slows the information transmission between participants.Firstly,the dynamics model is proposed for the profile-dependent delayed NEG,then the algebraic formulation is established using the algebraic state space approach.Secondly,the dynamic behavior of the game is discussed,involving general stability and evolutionarily stable profile analysis.Necessary and sufficient criteria are derived using the matrices,which can be easily verified by mathematical software.Finally,a numerical example is carried out to demonstrate the validity of the theoretical results.
基金
supported by the National Natural Science Foundation of China under Grant Nos.62273201 and 62103232
the research fund for the Taishan Scholar Project of Shandong Province of China under Grant No.tstp20221103
the Natural Science Foundation of Shandong Province under Grant No.ZR2021QF005。
