Purpose – With the recent development of science and technology, research on information diffusion has become increasingly important. Design/methodology/approach – To analyze the process of information diffusion, researchers have proposed a framework with graphical evolutionary game theory (EGT) according to the theory of biological evolution. Findings – Through this method, one can study and even predict information diffusion. Originality/value – This paper summarizes three existing works using graphical EGT to discuss how to obtain the static state and the dynamics of information diffusion in social network.