Classification Subject Subject in Charge The Field of Economic Theory & History of Economics Independent Study in Microeconomic Theory Osamu Keida The purposes of this lecture are to accurately study the reasoning process in economics and to acquire methods for understanding the dynamics of society. The lecture has two main topics: general equilibrium theory and evolutional game theory. The first is a traditional and theoretical topic in which we study the existence of general equilibria in various appropriate conditions. We will learn the theoretical and mathematical methods in economics by way of the lemma and theorem proof process. The second topic is the evolutionary game theory, one that deals with the dynamic game theory of a group. Here, we study the processes and the outcomes of a group or a population the behavior of specific factor. This theory analyzes the direction of a society based on specific problems.