ID: physics/0609038

Detecting the traders' strategies in Minority-Majority games and real stock-prices

September 5, 2006

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Price return auto-correlation and predictability in agent-based models of financial markets

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Damien Challet, Tobias Galla
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We demonstrate that minority mechanisms arise in the dynamics of markets because of effects of price impact; accordingly the relative importance of minority and delayed majority mechanisms depends on the frequency of trading. We then use minority games to illustrate that a vanishing price return auto-correlation function does not necessarily imply market efficiency. On the contrary, we stress the difference between correlations measured conditionally and unconditionally on ex...

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We present a theory which describes a recently introduced model of an evolving, adaptive system in which agents compete to be in the minority. The agents themselves are able to evolve their strategies over time in an attempt to improve their performance. The present theory explicitly demonstrates the self-interaction, or so-called market impact, that agents in such systems experience.

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Piero Mazzarisi, Adele Ravagnani, Paola Deriu, Fabrizio Lillo, ... , Russo Antonio
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Identifying market abuse activity from data on investors' trading activity is very challenging both for the data volume and for the low signal to noise ratio. Here we propose two complementary unsupervised machine learning methods to support market surveillance aimed at identifying potential insider trading activities. The first one uses clustering to identify, in the vicinity of a price sensitive event such as a takeover bid, discontinuities in the trading activity of an inv...

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Real payoffs and virtual trading in agent based market models

November 12, 2003

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F. F. Ferreira, M. Marsili
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The \$-Game was recently introduced as an extension of the Minority Game. In this paper we compare this model with the well know Minority Game and the Majority Game models. Due to the inter-temporal nature of the market payoff, we introduce a two step transaction with single and mixed group of interacting traders. When the population is composed of two different group of \$-traders, they show an anti-imitative behavior. However, when they interact with minority or majority pl...

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We define and study a rather complex market model, inspired from the Santa Fe artificial market and the Minority Game. Agents have different strategies among which they can choose, according to their relative profitability, with the possibility of not participating to the market. The price is updated according to the excess demand, and the wealth of the agents is properly accounted for. Only two parameters play a significant role: one describes the impact of trading on the pr...

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From Minority Game to Black & Scholes pricing

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Matteo Ortisi, Valerio Zuccolo
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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 Black & Scholes formula the calibration of both the Minority Game and the Grand Canonical Minority Game, by means of their characteristic parameters, is performed. We conclude that for both games the asymmetric phase with characteristic parame...

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The Interactive Minority Game: Instructions for Experts

August 15, 2002

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Peter Ruch, Joseph Wakeling, Yi-Cheng Zhang
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The Interactive Minority Game (IMG) is an online version of the traditional Minority Game in which human players can enter into competition with the traditional computer-controlled agents. Through the rich (and, importantly, analytically understood) behaviour of the MG, we can explore humans' behaviour in different kinds of market--crowded, efficient, critical--with a high degree of control. To make the game easily understandable even to those who are encountering it for the ...

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A Mechanism for Pockets of Predictability in Complex Adaptive Systems

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Jorgen Vitting Andersen, Didier Sornette
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We document a mechanism operating in complex adaptive systems leading to dynamical pockets of predictability (``prediction days''), in which agents collectively take predetermined courses of action, transiently decoupled from past history. We demonstrate and test it out-of-sample on synthetic minority and majority games as well as on real financial time series. The surprising large frequency of these prediction days implies a collective organization of agents and of their str...

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Self-reinforcing feedback loop in financial markets with coupling of market impact and momentum traders

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Li-Xin Zhong, Wen-Juan Xu, Rong-Da Chen, Chen-Yang Zhong, Tian Qiu, ... , He Yun-Xing
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By incorporating market impact and momentum traders into an agent-based model, we investigate the conditions for the occurrence of self-reinforcing feedback loops and the coevolutionary mechanism of prices and strategies. For low market impact, the price fluctuations are originally large. The existence of momentum traders has little impact on the change of price fluctuations but destroys the equilibrium between the trend-following and trend-rejecting strategies. The trend-fol...

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Federico Garzarelli, Matthieu Cristelli, ... , Pietronero Luciano
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Technical trading represents a class of investment strategies for Financial Markets based on the analysis of trends and recurrent patterns of price time series. According standard economical theories these strategies should not be used because they cannot be profitable. On the contrary it is well-known that technical traders exist and operate on different time scales. In this paper we investigate if technical trading produces detectable signals in price time series and if som...