Stock market simulation and inference technique

We present an agent-based stock market simulation in which traders utilise a hybrid mixture of common information criteria based inference procedures, including minimum message length (MML) inference. Traders in our model compete with each other using a range of different inference techniques to infer the parameters and appropriate order of simple auto regressive (AR) models of stock price evolution. We show that such traders are initially profitable while a significant population of random traders exist, and that MML inference traders outperform other inference traders in the presence of a noisy AR signal.

[1]  M. C. Jensen Some Anomalous Evidence Regarding Market Efficiency , 1978 .

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

[3]  David L. Dowe,et al.  Trading Rule Search with Autoregressive Inference Agents , 2005 .

[4]  E. Hannan,et al.  The determination of optimum structures for the state space representation of multivariate stochastic processes , 1982 .

[5]  B. LeBaron A builder's guide to agent-based financial markets , 2001 .

[6]  M. Marchesi,et al.  Agent-based simulation of a financial market , 2001, cond-mat/0103600.

[7]  R. Shiller From Ef cient Markets Theory to Behavioral Finance , 2004 .

[8]  Dhananjay K. Gode,et al.  Allocative Efficiency of Markets with Zero-Intelligence Traders: Market as a Partial Substitute for Individual Rationality , 1993, Journal of Political Economy.

[9]  David L. Dowe,et al.  Minimum Message Length and Kolmogorov Complexity , 1999, Comput. J..

[10]  A. Lo,et al.  Frontiers of finance: evolution and efficient markets. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[11]  David L. Dowe,et al.  MML Inference of Oblique Decision Trees , 2004, Australian Conference on Artificial Intelligence.

[12]  Shu-Heng Chen,et al.  On the emergent properties of artificial stock markets: the efficient market hypothesis and the rational expectations hypothesis , 2002 .

[13]  B. G. Quinn,et al.  The determination of the order of an autoregression , 1979 .

[14]  G. Iori A Microsimulation of Traders Activity in the Stock Market: The Role of Heterogeneity, Agents' Interactions and Trade Frictions , 2002 .

[15]  Catherine S. Forbes,et al.  Model Selection Criteria for Segmented Time Series from a Bayesian Approach to Information Compression , 2002 .

[16]  J. Holland,et al.  Artificial Adaptive Agents in Economic Theory , 1991 .

[17]  M. Kohler Wallace CS: Statistical and inductive inference by minimum message length , 2006 .

[18]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[19]  Blake LeBaron,et al.  Building Financial Markets With Articial Agents: Desired goals, and present techniques , 1999 .

[20]  H. Akaike A new look at the statistical model identification , 1974 .

[21]  Jonathan J. Oliver,et al.  MDL and MML: Similarities and differences , 1994 .

[22]  Leigh J. Fitzgibbon,et al.  Minimum message length autoregressive model order selection , 2004, International Conference on Intelligent Sensing and Information Processing, 2004. Proceedings of.

[23]  Michele Marchesi,et al.  Agent-based simulation of a $nancial market , 2001 .

[24]  R. Thaler,et al.  A Survey of Behavioral Finance , 2002 .

[25]  Leigh Tesfatsion,et al.  Agent-Based Computational Economics: Growing Economies From the Bottom Up , 2002, Artificial Life.

[26]  Roberto Leombruni,et al.  Asset Price Dynamics among Heterogeneous Interacting Agents , 2002 .

[27]  E. Fama,et al.  Efficient Capital Markets : II , 2007 .

[28]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[29]  McGregor J. Collie Stock Returns Distributions : The Emergent Behaviour of a Multi-Agent Artificial Stock Market , 2003 .

[30]  Takuji Nishimura,et al.  Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator , 1998, TOMC.

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

[32]  David L. Dowe,et al.  Minimum message length and generalized Bayesian nets with asymmetric languages , 2005 .

[33]  C. S. Wallace,et al.  An Information Measure for Classification , 1968, Comput. J..

[34]  Clifford M. Hurvich,et al.  Regression and time series model selection in small samples , 1989 .

[35]  C. S. Wallace,et al.  Estimation and Inference by Compact Coding , 1987 .

[36]  H. Bozdogan Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions , 1987 .