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Multi-agent-based Order Book Model of financial markets

T. Preis, S. Golke, W. Paul and J. J. Schneider

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We introduce a simple model for simulating financial markets, based on an order book, in which several agents trade one asset at a virtual exchange continuously. For a stationary market the structure of the model, the order flow rates of the different kinds of order types and the used price time priority matching algorithm produce only a diffusive price behavior. We show that a market trend, i.e. an asymmetric order flow of any type, leads to a non-trivial Hurst exponent for the price development, but not to "fat-tailed" return distributions. When one additionally couples the order entry depth to the prevailing trend, also the stylized empirical fact of "fat tails" can be reproduced by our Order Book Model.


PACS

05.10.Ln Monte Carlo methods

02.50.Ey Stochastic processes

89.65.Gh Economics; econophysics, financial markets, business and management

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 3 (August 2006)

Received 16 May 2006, accepted for publication 20 June 2006

Published 5 July 2006



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