With the development and scientific progress of the society, today the competition of comprehensive national strength is increasingly competitive and reflected in innovation capability of technology. In this case, major universities increase professional strength and competitiveness, forming a "game" relations. The term originally refers to the chess game, poker and other games of athletics. In game theory, the game refers to the conflict as well as cooperation between rational people or groups. Early the "game theory" was more used to explain some economic phenomena. With the knowledge heterogeneity, strategic interactivity among individuals, traditional resources, technology, information and other constraints of various organizations are no longer limited by knowledge and time. In such a scenario, the university is the main place to train professionals and a part for cognitive coordination. In this study, " Game Theory " is as an entry point and the model of it characterizes the competion status of similar professionals in our universities. It also analyzes the strategic interaction from the same subjects of different universities in the transition process of shared resources. Ultimately based on the "Game Theory", learning behavior and policy advice are proposed and more inspiration and advice are given.