Stochastic Cellular Automata Model for Stock Market Dynamics

Details Stochastic Cellular Automata Model for Stock Market Dynamics Stochastic Cellular Automata Model for Stock Market Dynamics

2003-11-17

arxiv.org/abs/cond-mat/0311372v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages and 7 figures

Scientific paper

10.1103/PhysRevE.69.046112

In the present work we introduce a stochastic cellular automata model in order to simulate the dynamics of the stock market. A direct percolation method is used to create a hierarchy of clusters of active traders on a two dimensional grid. Active traders are characterised by the decision to buy, (+1), or sell, (-1), a stock at a certain discrete time step. The remaining cells are inactive,(0). The trading dynamics is then determined by the stochastic interaction between traders belonging to the same cluster. Most of the stylized aspects of the financial market time series are reproduced by the model.

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