The Summary To The Theory Of Kinetic Models On Economic Problems

We are here to consider the income distributions in Economics, and introduce the background of the income distributions,the development process as well as the present situation. We also elaborate some people's work and their use of mathematical methods and the main results in recent years. Then a simple two-dimensional dynamic model was established on market economy, and we study the income distribution between agents after a long time, at last we obtain that the wealth distribution satisfies exactly the weak form of Fokker-Planck equation after takeing some kind of limit process. We also analyze the shortcomings existing in the models, and then we point out the possible research directions in future. Finally we further discuss the contributions that mathematical methods do to the development of econophysics.