A mean-field model of investor behaviour

In this note we investigate the ability of a mean-field model distilled from a heterogeneous agent model to simulate stylized facts of financial times series.

[1]  H. Pedersen J. M. Keynes: THE GENERAL THEORY OF EMPLOYMENT, INTEREST, AND MONEY. Macmillan, London 1936. 403 S. , 1936 .

[2]  Giulia Iori,et al.  Quantitative model of price diffusion and market friction based on trading as a mechanistic random process. , 2003, Physical review letters.

[3]  J. Keynes,et al.  The General Theory of Employment, Interest and Money. , 1936 .

[4]  Thomas Lux,et al.  A minimal noise trader model with realistic time series , 2002 .

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

[6]  Rod Cross,et al.  A threshold model of investor psychology , 2005 .

[7]  C. Hommes Heterogeneous Agent Models in Economics and Finance, In: Handbook of Computational Economics II: Agent-Based Computational Economics, edited by Leigh Tesfatsion and Ken Judd, Elsevier, Amsterdam 2006, pp.1109-1186 , 2005 .

[8]  J. Keynes,et al.  The General Theory of Employment, Interest and Money. , 1936 .

[9]  William A. Brock,et al.  Discrete Choice with Social Interactions , 2001 .

[10]  J. Keynes The General Theory of Employment , 1937 .

[11]  G. Burton MALKIEL, . The Efficient Market Hypothesis and Its Critics, Journal of Economic Perspectives, , . , 2003 .

[12]  J. Robert,et al.  SHILLER, . Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?, The American Economic Review, , . , 1981 .

[13]  L. Arnold Random Dynamical Systems , 2003 .

[14]  E. Miller Design of Financial Systems for Economic Stability , 1989 .

[15]  Colin Camerer,et al.  Neuroeconomics: How Neuroscience Can Inform Economics , 2005 .

[16]  M. Grinfeld,et al.  A probabilistic framework for hysteresis , 2000 .

[17]  Ulrich Horst Ergodic fluctuations in a stock market model with interacting agents: The mean field case , 1999 .

[18]  T. Andersen THE ECONOMETRICS OF FINANCIAL MARKETS , 1998, Econometric Theory.

[19]  B. Malkiel The Ef cient Market Hypothesis and Its Critics , 2003 .

[20]  Hans R. Stoll,et al.  Electronic Trading in Stock Markets , 2006 .

[21]  J. Doyne Farmer,et al.  Physicists attempt to scale the ivory towers of finance , 1999, Comput. Sci. Eng..

[22]  H. Barger The General Theory of Employment, Interest and Money , 1936, Nature.

[23]  E. Fama EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* , 1970 .

[24]  L. Bachelier,et al.  Theory of Speculation , 1964 .

[25]  L. Summers,et al.  The Noise Trader Approach to Finance , 1990 .