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Trading behavior and excess volatility in toy markets

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  • M. Marsili
  • D. Challet

Abstract

We study the relation between the trading behavior of agents and volatility in toy markets of adaptive inductively rational agents. We show that excess volatility, in such simplified markets, arises as a consequence of {\em i)} the neglect of market impact implicit in price taking behavior and of {\em ii)} excessive reactivity of agents. These issues are dealt with in detail in the simple case without public information. We also derive, for the general case, the critical learning rate above which trading behavior leads to turbulent dynamics of the market.

Suggested Citation

  • M. Marsili & D. Challet, 2000. "Trading behavior and excess volatility in toy markets," Papers cond-mat/0004376, arXiv.org, revised Jun 2000.
    • Handle: RePEc:arx:papers:cond-mat/0004376
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    References listed on IDEAS

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    1. Johnson, N.F. & Jarvis, S. & Jonson, R. & Cheung, P. & Kwong, Y.R. & Hui, P.M., 1998. "Volatility and agent adaptability in a self-organizing market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(1), pages 230-236.
    2. Arthur, W Brian, 1994. "Inductive Reasoning and Bounded Rationality," American Economic Review, American Economic Association, vol. 84(2), pages 406-411, May.
    3. Challet, Damien & Marsili, Matteo & Zhang, Yi-Cheng, 2000. "Modeling market mechanism with minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(1), pages 284-315.
    4. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
    5. Challet, Damien & Zhang, Yi-Cheng, 1998. "On the minority game: Analytical and numerical studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(3), pages 514-532.
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    Cited by:

    1. Damien Challet & Tobias Galla, 2005. "Price return autocorrelation and predictability in agent-based models of financial markets," Quantitative Finance, Taylor & Francis Journals, vol. 5(6), pages 569-576.
    2. Willemien Kets, 2007. "The minority game: An economics perspective," Papers 0706.4432, arXiv.org.
    3. Giorgio Fagiolo & Marco Valente, 2005. "Minority Games, Local Interactions, and Endogenous Networks," Computational Economics, Springer;Society for Computational Economics, vol. 25(1), pages 41-57, February.
    4. Marsili, Matteo, 2001. "Market mechanism and expectations in minority and majority games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 93-103.
    5. Płatkowski, Tadeusz & Ramsza, Michał, 2003. "Playing minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 726-734.

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