Objectives: Instinctive complication of human society and lack of a natural methodology for surveying and studying complicated social processes has led the social scientists to use artificial society for this category. The presented research is a part of a newly appeared course in which the agents have interaction with each other for the purpose of simulating social and economic processes. In this article, the application of artificial society sugarsacpe model to analyze and optirnize wealth Distribution in the society is studied, and the model of social welfare that reviews the role of wealth Distribution, Inheritance and population control in social welfare is presented.Sugarscape model consists of a cellular landscape (Cellular Automata) of resources (sugar or energy) and a population of agents which need the resources for their survival (for their metabolism), search (according to their vision) the cells and move to obtain them. Because of the movement, an evolutionary social behavior will happen. According to model analysis, this behavior should be parameterized and optirnized. To analyze, it is assumed that each agent should gather sugar to make asset. Hence, the amount of sugar which each agent gathers is considered as its wealth or assets. The model begins with an uneven equality of wealth in the society then the agents start to gather as much amount of sugar as they can. In simulation, the population is categorized based on the wealth, and the percentage of the population which possesses some percentage of the wealth is specified in the Diagrams. Pareto's principle is studied in this simulation and the equality and inequality of wealth Distribution is observed by using Lorenz Curve. And Gini Coefficient is studied.Method: Basic, simulation and applied method is used in the study. The method of data gathering was field, library and computational.Findings: Increasing inequality in wealth Distribution (sugar) in the society caused social poverty, and high range of mortality due to starvation was observed. Also, Pareto's principle was approved in this simulation.Results: Inheritance can postpone selection; in other words it increases the possibility of agents' survival in a society. Moreover implementation of population control strategies, especially among poor classes, may increase social welfare. The conclusion is that rising agent's vision and decreasing their metabolism may result to approach the equality, because poor agents may also achieve better chances to gain wealth.