Study On Smooth Infinite Spot-financial Markets And Oligopolistic Markets

In the latter part of the nineteenth century, the economists represented by Walras and Pareto set up the mathematical economics, and proposed the general economical equilibrium theory which was strictly proved by Arrow and Debreau in 1954. The mathematical economics has progressed enormously in recent decades. Based on the traditional markets model, people have made extension to further describe the economical behavior. Based on that, we change traditional economical equilibrium model and get the result of existence. This paper includes two parts and establishes two kinds of equilibrium model.In the first part, we establish a smooth infinite spot-financial markets model, admit the nonlinear constraints on households' portfolio holdings, and define a compact manifold S of states set, so that the original model is extended to smooth infinite economics. Finally, we prove the existence of the financial equilibrium.In the second part, we establish a long-run cooperative model of duopolistic markets which is based on the traditional Nash bargaining model. We define the long-run equilibrium of bargaining with threats, and prove that the bargaining value of long-run equilibrium pairs is unique.