Classical game theory has wide application in computer science, economics, biology and other fields. Quantum game which is one of the branches of quantum information theory, introduces quantum information processing resources to classical game.This project studies quantum game and utilizes the power of quantum information processing to help players obtain better outcomes. This project has two parts: (1)Quantum non-cooperative games based on non-locality. Non-locality is one of the strangest properties of quantum mechanics. Using non-locality, more strategy distribution can be obtained than using classical methods, so that the players can get higher payoffs. This project studies non-cooperative games, which are more realistic than cooperative games. (2) The effect of noise to quantum games.Because quantum information processing systems are unavoidably affected by environment noise, this project also studies the dynamics of strategies and payoffs and the relation between quantum game and quantum correlation under the effect of noise. The research of this project not only provides better outcomes for players so that the advantage of quantum information processing is proved, but also helps us understand quantum information theory better.