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Stylized facts in minority games with memory: a new challenge

Author

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  • Challet, Damien
  • Marsili, Matteo
  • De Martino, Andrea

Abstract

A finite memory is introduced in the score dynamics of Minority Games. As expected, this removes the dependence of the stationary state on the initial conditions. However, it also causes an unexpected increase of fluctuations in grand-canonical models for very large times. Current analytical methods are inadequate to solve this simple and natural extension.

Suggested Citation

  • Challet, Damien & Marsili, Matteo & De Martino, Andrea, 2004. "Stylized facts in minority games with memory: a new challenge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 143-150.
    • Handle: RePEc:eee:phsmap:v:338:y:2004:i:1:p:143-150
    DOI: 10.1016/j.physa.2004.02.036
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    Citations

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    Cited by:

    1. Ted Theodosopoulos, 2004. "Uncertainty relations in models of market microstructure," Papers math/0409076, arXiv.org, revised Feb 2005.
    2. Kyrylo Shmatov & Mikhail Smirnov, 2005. "On Some Processes and Distributions in a Collective Model of Investors' Behavior," Papers nlin/0506015, arXiv.org.
    3. Theodosopoulos, Ted & Yuen, Ming, 2007. "Properties of the wealth process in a market microstructure model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 443-452.
    4. Theodosopoulos, Ted, 2005. "Uncertainty relations in models of market microstructure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 209-216.
    5. Ling-Yun He, 2010. "Is Price Behavior Scaling and Multiscaling in a Dealer Market? Perspectives from Multi-Agent Based Experiments," Computational Economics, Springer;Society for Computational Economics, vol. 36(3), pages 263-282, October.
    6. Ted Theodosopoulos & Ming Yuen, 2005. "Properties of the wealth process in a market microstructure model," Papers math/0502105, arXiv.org, revised Feb 2005.

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