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Multi-Market Minority Game: Breaking The Symmetry Of Choice

Author

Listed:
  • KAROL WAWRZYNIAK

    (Interdisciplinary Centre for Mathematical and Computational Modelling, University of Warsaw, Pawińskiego 5A, PL-02-106 Warszawa, Poland)

  • WOJCIECH WISLICKI

    (A. Sołtan Institute for Nuclear Studies, Hoża 69, PL-00-681 Warszawa, Poland)

Abstract

Generalization of the minority game to more than one market is considered. At each time step, every agent chooses one of its strategies and acts on the market related to this strategy. If the payoff function allows for strong fluctuation of utility then market occupancies become inhomogeneous with preference given to this market where the fluctuation occurred first. There exists a critical size of agent population above which agents on bigger market behave collectively. In this regime, there always exists a history of decisions for which all agents on a bigger market react identically.

Suggested Citation

  • Karol Wawrzyniak & Wojciech Wislicki, 2009. "Multi-Market Minority Game: Breaking The Symmetry Of Choice," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 12(04n05), pages 423-437.
  • Handle: RePEc:wsi:acsxxx:v:12:y:2009:i:04n05:n:s0219525909002313
    DOI: 10.1142/S0219525909002313
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    Cited by:

    1. Li-Xin Zhong & Wen-Juan Xu & Ping Huang & Chen-Yang Zhong & Tian Qiu, 2013. "Self-organization and phase transition in financial markets with multiple choices," Papers 1312.0690, arXiv.org, revised Jun 2014.

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    Keywords

    Minority game; adaptive system;

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