It is always assumed that the information spreads in the regular networks or completely random networks and utilizes thirdorder delay to express information delay process in the studies of system dynamic. The information delay is also a process of information diffusion in networks, in recent years the studies of complex networks have revealed that information diffusion network structure is not a regular networks or a completely random network. This research combines the theory of complex

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... s with multi-agent modelling technology basis on the computer experimental methods, establishes a multi-agent simulation model of information diffusion in scale-free network environment, simulates the process of information diffusion and analyses delay characteristics of information diffusion in scale-free network environment. The results show that not all of the diffusion processes in scale-free network can simulated by third-order delay structure, when the value of M is relatively great we should consider using fourth-order delay structure to simulate the diffusion behaviours; In addition, the greater the value of the scale-free networks parameter M is, the shorter the corresponding average delay time of the delay function is. Open access under CC BY-NC-ND license. Open access under CC BY-NC-ND license.