Jogo da Minoria: um modelo baseado em agentes aplicado ao mercado financeiro

Over the past ten years physicists have made a significant contribution to the building of an agent-based model to reproduce the behavior of financial markets using computer simulation. This model, called the Minority Game, consists of a group of agents that buy or sell assets. They make decisions based on strategies, and through them the agents establish an intricate game of competition and coordination resulting in the distribution of wealth. The model has shown outstanding surprising results concerning both the dynamics of the system and the ability to reproduce statistical and behavior characteristics of the financial market. In this study, the structure and dynamics of the Minority Game and the recent contributions related to the Grand Canonical Minority game, a model which is better adapted to the characteristics of the financial market and reproduce the statistical regularities of asset prices (called stylized facts) are presented.

[1]  W. Schachermayer,et al.  HOW CLOSE ARE THE OPTION PRICING FORMULAS OF BACHELIER AND BLACK–MERTON–SCHOLES? , 2007, 0711.1272.

[2]  M Marsili,et al.  Phase transition and symmetry breaking in the minority game. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  Rick L. Riolo,et al.  Adaptive Competition, Market Efficiency, and Phase Transitions , 1999 .

[4]  Yi-Cheng Zhang,et al.  Emergence of cooperation and organization in an evolutionary game , 1997 .

[5]  Yi-Cheng Zhang,et al.  Toward a theory of marginally efficient markets , 1999 .

[6]  Matteo Marsili,et al.  Stylized Facts of Financial Markets and Market Crashes in Minority Games , 2001, cond-mat/0101326.

[7]  Yicheng Zhang,et al.  On the minority game: Analytical and numerical studies , 1998, cond-mat/9805084.

[8]  Fernando F. Ferreira,et al.  Agent-based model with heterogeneous fundamental prices , 2005 .

[9]  Modelling High-frequency Economic Time Series , 2000, cond-mat/0007267.

[10]  Zecchina,et al.  Statistical mechanics of systems with heterogeneous agents: minority games , 1999, Physical review letters.

[11]  Neil F. Johnson,et al.  Application of multi-agent games to the prediction of financial time-series , 2001 .

[12]  W. Arthur.  Inductive Reasoning and Bounded Rationality , 1994 .

[13]  Damir Filipović,et al.  OPTIMAL CAPITAL AND RISK TRANSFERS FOR GROUP DIVERSIFICATION , 2007 .

[14]  G. Bianconi,et al.  Multi-asset minority games , 2006, physics/0603152.

[15]  Matteo Marsili,et al.  Minority Games and stylized facts , 2001 .

[16]  Yi Li,et al.  The structure of adaptive competition in minority games , 1998, adap-org/9811005.

[17]  R. Palmer,et al.  Artificial economic life: a simple model of a stockmarket , 1994 .

[18]  Blake LeBaron,et al.  A Dynamic Structural Model for Stock Return Volatility and Trading Volume , 1995 .

[19]  V. Plerou,et al.  Scaling of the distribution of fluctuations of financial market indices. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[21]  M. Marsili,et al.  A Prototype Model of Stock Exchange , 1997, cond-mat/9709118.

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

[23]  Matteo Marsili,et al.  Modeling market mechanism with minority game , 1999, cond-mat/9909265.

[24]  Kiyosi Itô.  Stochastic Differential Equations , 2018, The Control Systems Handbook.

[25]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[26]  Moshe Levy,et al.  Microscopic Simulation of the Stock Market: the Effect of Microscopic Diversity , 1995 .

[27]  Matteo Marsili,et al.  Criticality and market efficiency in a simple realistic model of the stock market. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  P. M. Hui,et al.  Crowd-anticrowd theory of multi-agent market games , 2001 .

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