In this paper, we examine an agent-based model, and an equation-based model in the form of a mean field model. We show how the mean field model is a small, fast model that identifies the high level properties of a subject, in this case financial time series’ stylized facts. The agent based...

A Monte Carlo computer simulation model is presented to study the evolution of stock price and the distribution of price fluctuation. The resistance is described by an elastic energy Ee=e·x2 resulting from the price deviation x from an initial value and the momentum trading by the potential...