Rock-scissors-paper game on regular small-world networks

被引:152
|
作者
Szabó, G
Szolnoki, A
Izsák, R
机构
[1] Res Inst Tech Phys & Mat Sci, H-1525 Budapest, Hungary
[2] Eotvos Lorand Univ, Inst Theoret Phys, H-1518 Budapest, Hungary
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 07期
关键词
D O I
10.1088/0305-4470/37/7/006
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The spatial rock-scissors-paper game (or cyclic Lotka-Volterra system) is extended to study how the spatiotemporal patterns are affected by the rewired host lattice providing uniform number of neighbours (degree) at each site. On the square lattice this system exhibits a self-organizing pattern with equal concentration of the competing strategies (species). If the quenched background is constructed by substituting random links for the nearest-neighbour bonds of a square lattice then a limit cycle occurs when the portion of random links exceeds a threshold value. This transition can also be observed if the standard link is replaced temporarily by a random one with a probability P at each step of iteration. Above a second threshold value of P the amplitude of global oscillation increases with time and finally the system reaches one of the homogeneous (absorbing) states. In this case the results of Monte Carlo simulations are compared with the predictions of the dynamical cluster technique evaluating all the configuration probabilities on one-, two-, four- and six-site clusters.
引用
收藏
页码:2599 / 2609
页数:11
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