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Minority game: a mean-field-like approach

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  • Caridi, Inés
  • Ceva, Horacio

Abstract

We calculate the standard deviation of (N1−N0), the difference of the number of agents choosing between the two alternatives of the minority game. Our approach is based on two approximations: we use the whole set of possible strategies, rather than only those distributed between the agents involved in a game; moreover, we assume that a period-two dynamics discussed by previous authors is appropriate within the range of validity of our work. With these approximations we introduce a set of states of the system, and are able to replace time averages by ensemble averages over these states. Our results show a very good agreement with simulations results for most part of the informationally efficient phase.

Suggested Citation

  • Caridi, Inés & Ceva, Horacio, 2003. "Minority game: a mean-field-like approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 317(1), pages 247-258.
    • Handle: RePEc:eee:phsmap:v:317:y:2003:i:1:p:247-258
    DOI: 10.1016/S0378-4371(02)01332-8
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    Cited by:

    1. Acosta, Gabriel & Caridi, Inés & Guala, Sebastián & Marenco, Javier, 2012. "The Full Strategy Minority Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 217-230.
    2. Acosta, Gabriel & Caridi, Inés & Guala, Sebastián & Marenco, Javier, 2013. "The quasi-periodicity of the minority game revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4450-4465.

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