El Farol Bar Problem And The Related Problems

The complex system became the theory and one of applied mathematics research hot spots in the recent years. There are various research object in the nature, that analyzing with tradition mathematics method is difficult. Building the model to this category of complex structure, and the simulation and the analysis of the model is one of the front topics of mathematics development.There is a branch in economic domain to be called Agent-Based Computational Economics, ACE, it regards the economical system as the participation between the individual economic agent, thus can study the systematic dynamic with the numerical simulation method. El Farol Bar problem is a typical model of the category. Research of El Farol Bar Problem will deepen understanding in some macroscopic and group behavior in economics.In a sense, El Farol Bar can be the non- restraint open market model, it contains very complicated structure,and it is difficult to analyze it with tranditional analytical method. Now the reaserch mainly focuses on the numerical simulation, there is still no general method to solve its exact solution. This article mainly used the numerical simulation method, analyzed some statistics characteristics of El Farol Bar problem. In the article some change forms of El Farol Bar problem was discussed , several remarkable macroscopic characteristics in the market was observed in various angles. In the paper, we researched the stability and the risk in the market, obtained some related conclusions, that will be the reference of how to reduce the risk and enhance the overall stability in the market behavior.