From Classical Game Theory To Quantum Game Theory

Game theory is a subject studies on the rational strategy movement, it is widely used in economics, sociology and many other areas, regarded as "the mathematics of social science". In recent years, for the development of quantum physics, a new intercross area of game theory and quantum physics had born, that is quantum game theory. This thesis will give a presentation of game theory and quantum game theory, and incarnate the advantages of quantum game by compare them in some classical game model. Moreover, a discussion of philosophy meaning in game theory and quantum game theory will be given in the last part.In preface part, there will be a presentation of the aims, main ideas, objects and research approaches of game theory, explain how would quantum game theory came into been and the possible progress made by it.In chapter one, it will be a brief look back into the history of game theory, define the types of different games in several point of view, introduce Nash Equilibrium and Prisoner Dilemma, which are quite important in game theory.In chapter two, there will be an introduction of quantum information theory and quantum entanglement, which is background knowledge of quantum game theory. It will also present how the original ideas of quantum game theory came into been.In chapter three, there will be some details of quantum game theory. The advantage brought by quantum strategy in PQ penny flip model will be discussed. And the analysis of quantumize the model of prisoner dilemma will be presented. A summarization will be given for the last part of this chapter, indicate that quantum game is not just quantumization of classical game, but a new kind of game.In chapter four, it will present some philosophy thinking over game theory; discuss the philosophy meaning of quantum game theory.In the ending part, there is a short summarize of the whole article, present the problems of quantum game theory, and talk about the future direction of it.