Abstract: There is a lot of information whose authenticity is unable to be judged temporarily in the Internet．Whether or not to forward this kind of information for the internet users is a kind of game．Also,whether or not to propagate true information for the owner of information who has known the authenticity of information is a kind of game.Taking the real network information propagation as the background and combining the game theory with multi-agent technology,several game models suitable for different network information propagation processes were established．Players’ strategies were analysed through the payoff matrix while the basic properties and the practical significance of the various models were explained．In order to make these models more suitable to the actual situations of the network information propagation,the liquidity of network information transmission and trust mechanism were taken into account in modeling．These models lay a solid foundation for agent simulation experiment and the models of dynamic game and evolutionary game.

Key words: Game theory,Multi-agent systems,Information propagation,Trust,Rumor