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We review the recent approaches to modelling financial markets based on multi-agent systems. After a brief summary of the basic stylised facts observed in real-market time-series we discuss some simple agent-based systems which are…

Physics and Society · Physics 2008-12-02 Tobias Galla , Giancarlo Mosetti , Yi-Cheng Zhang

The Minority Game (MG), the Majority Game (MAJG) and the Dollar Game ($G) are important and closely-related versions of market-entry games designed to model different features of real-world financial markets. In a variant of these games,…

Adaptation and Self-Organizing Systems · Physics 2008-05-06 J. B. Satinover , D. Sornette

We address the question of market efficiency using the Minority Game (MG) model. First we show that removing unrealistic features of the MG leads to models which reproduce a scaling behavior close to what is observed in real markets. In…

Statistical Mechanics · Physics 2008-12-02 D. Challet , A. Chessa , M. Marsili , Y. -C. Zhang

In this paper it was developed a modification of the known multiagent model Minority Game, designed to simulate the behavior of traders in financial markets and the resulting price dynamics on the abstract resource. The model was…

Physics and Society · Physics 2010-08-24 Yu. A. Kuperin , M. M. Morozova

The unprecedented access offered by the World Wide Web brings with it the potential to gather huge amounts of data on human activities. Here we exploit this by using a toy model of financial markets, the Minority Game (MG), to investigate…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Paolo Laureti , Peter Ruch , Joseph Wakeling , Yi-Cheng Zhang

TheMinority Game (MG) has become a paradigm to probe complex social and economical phenomena where adaptive agents compete for a limited resource, and it finds applications in statistical and nonlinear physics as well. In the traditional MG…

Adaptation and Self-Organizing Systems · Physics 2012-04-16 Zi-Gang Huang , Ji-Qiang Zhang , Jia-Qi Dong , Liang Huang , Ying-Cheng Lai

The search for more realistic modeling of financial time series reveals several stylized facts of real markets. In this work we focus on the multifractal properties found in price and index signals. Although the usual Minority Game (MG)…

Trading and Market Microstructure · Quantitative Finance 2008-12-10 Antonio F. Crepaldi , Camilo Rodrigues Neto , Fernando F. Ferreira , Gerson Francisco

In this paper, we present a simple stock market model (the market game) which incorporates, as ab initio dynamics delayed majority dynamics, according to which agents (with heterogeneous strategies and price expectations) are rewarded if…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Yi Li , Robert Savit

The Minority Game (MG) behaves as a stochastically perturbed deterministic system due to the coin-toss invoked to resolve tied strategies. Averaging over this stochasticity yields a description of the MG's deterministic dynamics via mapping…

Disordered Systems and Neural Networks · Physics 2009-11-07 P. Jefferies , M. L. Hart , N. F. Johnson

We present exact analytic results for a new version of the Minority Game (MG) in which strategy performance is recorded over a finite time horizon. The dynamics of this Time Horizon Minority Game (THMG) exhibit many distinct features from…

Disordered Systems and Neural Networks · Physics 2009-11-07 Michael L. Hart , Paul Jefferies , Neil F. Johnson

We discuss a simple version of the Minority Game (MG) in which agents hold only one strategy each, but in which their capitals evolve dynamically according to their success and in which the total trading volume varies in time accordingly.…

Physics and Society · Physics 2015-05-13 Tobias Galla , Yi-Cheng Zhang

We show that a simple evolutionary scheme, when applied to the minority game (MG), changes the phase structure of the game. In this scheme each agent evolves individually whenever his wealth reaches the specified bankruptcy level, in…

Statistical Mechanics · Physics 2009-11-10 Baosheng Yuan , Kan Chen

We propose a payoff function extending Minority Games (MG) that captures the competition between agents to make money. In constrast with previous MG, the best strategies are not always targeting the minority but are shifting…

Condensed Matter · Physics 2009-11-07 Jorgen Vitting Andersen , Didier Sornette

To demonstrate the usefulness of physical approaches for the study of realistic economic systems, we investigate the inequality of players' wealth in one of the most extensively studied econophysical models, namely, the minority game (MG).…

Statistical Mechanics · Physics 2009-11-10 K. H. Ho , F. K. Chow , H. F. Chau

We solve the dynamics of large spherical Minority Games (MG) in the presence of non-negligible time dependent external contributions to the overall market bid. The latter represent the actions of market regulators, or other major natural or…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 P. Papadopoulos , A. C. C. Coolen

We present a dynamical theory of a multi-agent market game, the so-called Minority Game (MG), based on crowds and anticrowds. The time-averaged version of the dynamical equations provides a quantitatively accurate, yet intuitively simple,…

Condensed Matter · Physics 2009-10-31 M. Hart , P. Jefferies , P. M. Hui , N. F. Johnson

In this paper we study the continuum time dynamics of a stock in a market where agents behavior is modeled by a Minority Game and a Grand Canonical Minority Game. The dynamics derived is a generalized geometric Brownian motion; from the…

Trading and Market Microstructure · Quantitative Finance 2013-05-17 Matteo Ortisi , Valerio Zuccolo

We discuss a simple model based on the Minority Game which reproduces the main stylized facts of anomalous fluctuations in finance. We present the analytic solution of the model in the thermodynamic limit and show that stylized facts arise…

Statistical Mechanics · Physics 2009-11-07 Damien Challet , Matteo Marsili

The Minority Game is a simple model for the collective behavior of agents in an idealized situation where they have to compete through adaptation for a finite resource. This review summarizes the statistical mechanics community efforts to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Esteban Moro

In this paper I give a brief introduction to a family of simple but non-trivial models designed to increase our understanding of collective processes in markets, the so-called Minority Games, and their non-equilibrium statistical…

Disordered Systems and Neural Networks · Physics 2008-12-02 A. C. C. Coolen
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