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On the minority game: Analytical and numerical studies

  • Challet, Damien
  • Zhang, Yi-Cheng

We investigate further several properties of the minority game we have recently introduced. We explain the origin of the phase transition and give an analytical expression of σ2/N in the N⪡2M region. The ability of the players to learn a given payoff is also analyzed, and we show that the Darwinian evolution process tends to a self-organized state, in particular, the lifetime distribution is a power-law with exponent −2. Furthermore, we study the influence of identical players on their gain and on the systems performance. Finally, we show that large brains always take advantage of small brains.

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File URL: http://www.sciencedirect.com/science/article/pii/S037843719800260X
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Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

Volume (Year): 256 (1998)
Issue (Month): 3 ()
Pages: 514-532

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Handle: RePEc:eee:phsmap:v:256:y:1998:i:3:p:514-532
Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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