Study Of Equilibrium Issue In Security-Spot Market By Fixed-Point Theorem

In this paper,there are two parts and is divided into four chapters. For one part which includes first,second and third chapter, we main have researched the equilibrium existence in imperfect market competition which based on the Arrow-Debreu equilibrium model.First, we have proofed that the securities market is tight spot-the convex topological space. Second, studied and discussed such a broker in the two periods of equilibrium existence question transactions in this space.There are two arguments in first part. For one thing, structured the set-valued mappings. Then we have validated that the semicontinuities and convexity in set-valued mappings so that it can meet the prerequisite of the Kakutani fixed point theorem.For the other thing, using standard of the simplex method, the topological Spaces will be portion profile. Then proofed the equilibrium spot-existence in the stock market by using the Kakutani fixed point theorem.The other part,is given to illustrate the stock market equilibrium spot-existence mainly used a numerical example. By using Hompack software processing of data, we draw the equilibrium of the numerical example eventually.