The Wealth Distribution Model Based On Agents

The wealth distribution problem which has nearly one hundred histories is one of the most popular problems in economics. This paper is mainly about this popular problem. The first part of this paper is to introduce the method of agent simulation and the second part is to introduce the development of the wealth distribution model. One of the innovations of this paper is to use the game theory and the wealth distribution model together to study the wealth distribution problem. So I introduce the game theory in the third part. And the last two parts that introduce two new models is the core of this paper.One model is to discuss the wealth distribution in a finite-size closed economic system, where each agent may choose one from the four strategies as hawk, defect, cooperate and dove. When two agents encounter, exchange of the wealth is decided by the rules defined. The simulation results show that the equilibrium probability distribution of wealth will be single-peak, double-peak and non-peak distribution for different parameters. The results show that there are both the poor and the rich in the agents with hawk and defect strategy, which is randomly formed, and the wealth distribution of agents with cooperate strategy is more reasonable, while most of the agents with dove strategy come to be the poor. Finally the effect of the saving factor in the model is also discussed, and it is shown that lower saving of the agents is easier to result in wealth polarization, on the contrary, higher saving will ensure single-peak more easily.The other model is the wealth distribution model of the agents with two attitudes. One attitude aims at itself, and the other aims at others. In this paper, we discuss the wealth distribution model with one or more kinds of agents in a closed system. We know that the wealth distribution of the agent bad for itself but good for others is exponential distribution. The agents that always have same attitude for itself or others follow Gaussian distribution. If the winning probability is same, the wealth distribution for all the agents follows power-law. Or else it follows exponential distribution. When these nine kinds of agents exist in a same system, the attitude good for oneself or bad for others is the precondition of having high wealth. The agents that have advantage compete drastically and result in wealth polarization. Altruism factor can reduce the distance between the rich and the poor.