Abstract: Social networks have become an important form of people’s communication in modern society.The information transmission and control mechanism in social networks has become a hot topic in the current research field.Taking into account the uncertainty of information authenticity in society,this paper introduces game theory and social reinforcement effect to accurately describe the diffusion probability of information in the process of communication,highlights the individual differences of nodes in the process of information propagation, and considers the impact of different propagation probabilities on the propagation of nodes in the context of different true and false messages from a game perspective,combines with incomplete information game to describe the basic propagation probability,and then adjusts the basic propagation probability according to social reinforcement effect,designs and studies the SIR propagation model based on incomplete information game.And based on the small world mo-del,the scale-free model and the actual network data set to simulate,from the network model type,network size,propagation probability and other aspects of experiments.The results show that the proposed propagation model enriches the research techniques of message communication control and immunity in social networks,and the social reinforcement effect has a good effect on communication.

Key words: Game theory, Information dissemination, Nash equilibrium, SIR, Social strengthening effect