With the development of science and the continuous advancement of information technology, the research on social network has received extensive attention from scholars in different fields of research and has greatly promoted the development of social network. For a social network, it can be described at different scales from different levels. However, this paper established a multimedia resource propagation model on game theory, so as to analyze the relationship between nodes in the social network at a small scale (microscopic and local levels), including the game relationship between users and resources and the game relationship between users and users. This paper focuses the formation of the game relationship between user nodes and the related factors that affect the game strategy transformation and provides guidance and assistance for expanding the scope of media resources. By solving some of the key factors that affect the game player's behavior, the paper provided decision and recommendation method to put forward corresponding countermeasures and gives suggestions from the perspective of multimedia resource.