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Crowd–anticrowd theory of the minority game

Author

Listed:
  • Hart, M
  • Jefferies, P
  • Johnson, N.F
  • Hui, P.M

Abstract

The Minority Game is a simple yet highly non-trivial agent-based model for a complex adaptive system. Here, we provide an explanation of the game's fluctuations which is both intuitive and quantitative, and which applies over the entire parameter range of interest. The physical idea behind our theory is to describe the interplay between crowds of like-minded agents and their anticorrelated partners (anticrowds).

Suggested Citation

  • Hart, M & Jefferies, P & Johnson, N.F & Hui, P.M, 2001. "Crowd–anticrowd theory of the minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 298(3), pages 537-544.
    • Handle: RePEc:eee:phsmap:v:298:y:2001:i:3:p:537-544
    DOI: 10.1016/S0378-4371(01)00245-X
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    Citations

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    Cited by:

    1. Kets, W., 2007. "The Minority Game : An Economics Perspective," Other publications TiSEM 65d52a6a-b27d-45a9-93a7-e, Tilburg University, School of Economics and Management.
    2. Wawrzyniak, Karol & Wiślicki, Wojciech, 2012. "Mesoscopic approach to minority games in herd regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2056-2082.
    3. Xin-Jie Zhang & Yong Tang & Jason Xiong & Wei-Jia Wang & Yi-Cheng Zhang, 2018. "Dynamics of Cooperation in Minority Games in Alliance Networks," Sustainability, MDPI, vol. 10(12), pages 1-17, December.
    4. Stefan, F.M. & Atman, A.P.F., 2015. "Is there any connection between the network morphology and the fluctuations of the stock market index?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 630-641.
    5. Diks, Cees & Hommes, Cars & Zeppini, Paolo, 2013. "More memory under evolutionary learning may lead to chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 808-812.
    6. Kunyu Song & Kenan An & Guang Yang & Jiping Huang, 2012. "Risk-Return Relationship in a Complex Adaptive System," PLOS ONE, Public Library of Science, vol. 7(3), pages 1-8, March.
    7. F. M. Stefan & A. P. F. Atman, 2017. "Asymmetric return rates and wealth distribution influenced by the introduction of technical analysis into a behavioral agent based model," Papers 1711.08282, arXiv.org.

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