Analysis on the achievement milestones and limitations of Game Theory

The game issues are more complicated and difficult to be solved than the control and decision-making problems, therefore they are more challenging. Game theory facing to the modeling and solution of various game issues has undergone over half a century of fast development, and has obtained a series of achievement which can been regarded as milestones. So it has played a great improving role in the development of economics and relevant fields. After introducing the main achievement of game theory, the essence and the basic model of game theory are summarized, i.e. ldquorationality-prediction-equilibriumrdquo. But when facing the complicated dynamic game systems, for example, chess game, it is hard to solve the move problem by the current game theory. It seems that some limitations of game theory are showed. Therefore, the game theory and computer game should be combined so that we can overcome some limitations, improve the extension of the theory, and create a new situation for the applications of game theory.