Journal of Statistical Mechanics: Theory and Experiment
Volume 2006
July 2006
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E Ben-Naim et al J. Stat. Mech. (2006) P07001 doi:10.1088/1742-5468/2006/07/P07001
Dynamics of multi-player games
E Ben-Naim1, B Kahng1,2 and J S Kim1,2
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| Figure 1. The stationary distribution of winning rates (12) for the case n = 3, m = 1. |
| Figure 2. The stationary distribution of winning rates (17) for n = 3, m = 2. |
| Figure 3. The stationary distribution of winning rates (26) for the case n = m = 3. |
| Figure 4. The stationary distribution of winning rates Φ(x) for n = 4 (top) and n = 10 (bottom). Monte Carlo simulation results with N = 106 particles at time t = 105 are shown. The circles are the theoretical predictions for the maximal winning rate x0 and the size of the lower tier Φ0. |
| Figure 5. The infinite-n limit. From equation (37), the points (x0, Φ0) all lie on the curve Φ = (x - 1)/x (dashed line). |
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Dynamics of multi-player games
E Ben-Naim et al J. Stat. Mech. (2006) P07001
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