Frankfurt Artificial Stock Market: a microscopic stock market model with heterogeneous interacting agents in small-world communication networks

We study the relationship between communication network topologies, namely the small-world networks introduced by Watts and Strogatz, and the simulation results of an artificial stock market, here the Frankfurt Artificial Stock Market. Heterogeneous interacting agents communicate their success and trading strategy to their nearest neighbors. A process of information diffusion arises through the adaptive behavior of agents when encountering more successful strategies in their direct neighborhood. We will show that an increasing rewiring probability of the small-world network will lead to higher volatility and distortion within our simulation model. It seems probable that the spatial position of traders within a communication network affects the price building process.

[1]  Mark Newman,et al.  Models of the Small World , 2000 .

[2]  R. Cont Empirical properties of asset returns: stylized facts and statistical issues , 2001 .

[3]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[4]  Duncan J. Watts,et al.  Six Degrees: The Science of a Connected Age , 2003 .

[5]  P. Arena,et al.  Cellular neural networks: a paradigm for nonlinear spatio-temporal processing , 2001 .

[6]  S. Strogatz Exploring complex networks , 2001, Nature.

[7]  M. Marchesi,et al.  VOLATILITY CLUSTERING IN FINANCIAL MARKETS: A MICROSIMULATION OF INTERACTING AGENTS , 2000 .

[8]  J. Bouchaud,et al.  Herd Behavior and Aggregate Fluctuations in Financial Markets , 1997 .

[9]  W. Arthur,et al.  The Economy as an Evolving Complex System II , 1988 .

[10]  S. Bikhchandani,et al.  Herd Behavior in Financial Markets: A Review , 2000, SSRN Electronic Journal.

[11]  M. Marchesi,et al.  Scaling and criticality in a stochastic multi-agent model of a financial market , 1999, Nature.

[12]  M. Paczuski,et al.  Price Variations in a Stock Market with Many Agents , 1997 .

[13]  Frank Westerhoff,et al.  Heterogeneous traders and the Tobin tax , 2003 .

[14]  Toby Walsh,et al.  Search in a Small World , 1999, IJCAI.

[15]  Sebastian Weber,et al.  Structure and Dynamics of Networks , 2009 .

[16]  R. Palmer,et al.  Asset Pricing Under Endogenous Expectations in an Artificial Stock Market , 1996 .

[17]  Sergey N. Dorogovtsev,et al.  Evolution of Networks: From Biological Nets to the Internet and WWW (Physics) , 2003 .

[18]  Guanrong Chen,et al.  Complex networks: small-world, scale-free and beyond , 2003 .

[19]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[20]  S. Bikhchandani,et al.  Herd Behavior in Financial Markets , 2000, IMF Staff Papers.

[21]  C. Hommes Heterogeneous Agent Models in Economics and Finance , 2005 .