Journal of Statistical Mechanics: Theory and Experiment
Volume 2008
April 2008
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D Challet et al J. Stat. Mech. (2008) L04004 doi:10.1088/1742-5468/2008/04/L04004
Dynamical instabilities in a simple minority game with discounting
FREE ARTICLED Challet1,2, A De Martino3 and M Marsili4
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Figure 1. Stability in the parameter space. The trivial fixed point is stable on the left of the respective
 lines (continuous curves) and below the Γ + λ = 2 line (dashed line). The stability lines of the oscillating solution (dashed curves) are shown only for
= 0.05 and 0.1 for the sake of clarity. |
Figure 2. Fluctuations of y(t) for = 0.05, λ = 0.35 as a function of
Γ. In the unstable region (intermediate Γ), fluctuations are dominated by the periodic oscillation of
y(t), giving rise to a  that can be computed analytically (dashed line). |
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Dynamical instabilities in a simple minority game with discounting
D Challet et al J. Stat. Mech. (2008) L04004
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2008 J. Phys.: Conf. Ser. 191 011002
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