The Wealth Distribution Model With The Kickback

The study of wealth distribution has a long history. Especially those problems about the fairness of the wealth distribution are always concerned by economists.The paper is based on asset exchange model. The characteristic of this kind of model is that it abstractly pick up the wealth from the real economic system, and only consider the wealth and agent to build the agent interaction model. Based on these, to simulate the model by computer and analyze the result, studying the run law in the wealth its own. In these models, the wealth is owned by similar agents, transferring from one agent to the other one by given trading rule. In these models, the interaction is presented by the transfer of the wealth between agents, and how to transfer is determined by the trading rules. Thus it is simple and can be strongly extended.The paper is also based on the economic models with altruism, it is brought by R. Trigaux. After that, M. Rodriguez-Achac and R. Huerta-Quintanilla scrutinizes it to find that altruistic behavior does lead to a more equitable wealth distribution but only for unreasonable high values of altruism that are difficult to expect in a real economic system.The first Chapter in this paper introduces the concept of agent and the concept, feature and the meaning of Agent Based Simulation.In the second Chapter the Asset Exchange Model is proposed and understood several important Asset Exchange Models.In the third Chapter, the model with altruism and the result of this model are introduced. At the same time, Gini index which is an index to weight the fairness degree of wealth distribution is explained.Based on the three chapters above, in the fourth Chapter, the wealth distribution model with the kickback rate is proposed. In this model, it introduces the concept of kickback to the model, and define the wealth distribution model under the actions of kickback among agents, weighing the agents by power, morality and wealth. Following the corresponding trading rules, we get a connection between the kickback rate and the Gini index, the wealth distribution and the tendency of the moral distribution under the actions of kickback. It is found that for every kickback rate, the related Gini index tends to be steady, thus the kickback rate-Gini index curve may be obtained. Furthermore, it is shown that the Gini index decreases when the kickback rate increases, so that the fair degree of social wealth distribution gets better. The Gini index reaches a minimum when the kickback rate is 0.58, and then it increases, as the accretion of the kickback rate destroys the fair degree of social wealth distribution. However, in all situations, the Gini index with kickback rate is less than the one without kickback. This means that the introduction of kickback rate is favorable to the raising of the fair degree of wealth distribution.This paper also defines a a moral index similar to the Gini index to weigh the differences of social moral level, and find that the differences of social moral level increase with time for the model with kickback rate.By the studying about this aspect, we can learn the effect of kickback on the social wealth.