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Stylized facts of financial markets and market crashes in Minority Games

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Author Info
Damien Challet
Matteo Marsili
Yi-Cheng Zhang

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Abstract

We present and study a Minority Game based model of a financial market where adaptive agents -- the speculators -- interact with deterministic agents -- called producers. Speculators trade only if they detect predictable patterns which grant them a positive gain. Indeed the average number of active speculators grows with the amount of information that producers inject into the market. Transitions between equilibrium and out of equilibrium behavior are observed when the relative number of speculators to the complexity of information or to the number of producers are changed. When the system is out of equilibrium, stylized facts arise, such as fat tailed distribution of returns and volatility clustering. Without speculators, the price follows a random walk; this implies that stylized facts arise because of the presence of speculators. Furthermore, if speculators abandon price taking behavior, stylized facts disappear.

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File URL: http://arxiv.org/abs/cond-mat/0101326
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Paper provided by arXiv.org in its series Quantitative Finance Papers with number cond-mat/0101326.

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Date of creation: Jan 2001
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Handle: RePEc:arx:papers:cond-mat/0101326

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  1. Andreas Krause, 2009. "Evaluating the performance of adapting trading strategies with different memory lengths," Quantitative Finance Papers 0901.0447, arXiv.org. [Downloadable!]
  2. Guglielmo Maria Caporale & Antoaneta Serguieva & Hao Wu, 2008. "Financial Contagion: Evolutionary Optimisation of a Multinational Agent-Based Model," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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