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Dynamics of multi-frequency minority games

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  • A. Martino

Abstract

The dynamics of minority games with agents trading on different time scales is studied via dynamical mean-field theory. We analyze the case where the agents’ decision-making process is deterministic and its stochastic generalization with finite heterogeneous learning rates. In each case, we characterize the macroscopic properties of the steady states resulting from different frequency and learning rate distributions and calculate the corresponding phase diagrams. Finally, the different roles played by regular and occasional traders, as well as their impact on the system’s global efficiency, are discussed. Copyright Springer-Verlag Berlin/Heidelberg 2003

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  • A. Martino, 2003. "Dynamics of multi-frequency minority games," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 35(1), pages 143-152, September.
    • Handle: RePEc:spr:eurphb:v:35:y:2003:i:1:p:143-152
    DOI: 10.1140/epjb/e2003-00265-5
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    Cited by:

    1. Lustosa, Bernardo C. & Cajueiro, Daniel O., 2010. "Constrained information minority game: How was the night at El Farol?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1230-1238.
    2. Mello, Bernardo A. & Cajueiro, Daniel O., 2008. "Minority games, diversity, cooperativity and the concept of intelligence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 557-566.
    3. Crepaldi, Antonio F. & Neto, Camilo Rodrigues & Ferreira, Fernando F. & Francisco, Gerson, 2009. "Multifractal regime transition in a modified minority game model," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1364-1371.

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