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1.
The effect of heterogeneous influence of different individuals on the maintenance of co-operative behaviour is studied in an evolutionary Prisoner's Dilemma game with players located on the sites of regular small-world networks. The players interacting with their neighbours can either co-operate or defect and update their states by choosing one of the neighbours and adopting its strategy with a probability depending on the pay off difference. The selection of the neighbour obeys a preferential rule: the more influential a neighbour, the larger the probability it is picked. It is found that this simple preferential selection rule can promote continuously the co-operation of the whole population with the strengthening of the disorder of the underlying network.  相似文献   
2.
We investigate a spatial Prisoner's Dilemma game with nonlinear attractive effect on regular small-world networks. The players located on the sites of networks can either cooperate with their neighbours or defect. In every generation, each player updates its strategy by firstly choosing one of the neighbours with a probability proportional to .A^α denoting the attractiveness of the neighbour, where .4 is the collected payoff and ^α (-〉0) is a free parameter characterizing the extent of nonlinear effect. Then each player adopts its strategy with a probability dependent on their payoff difference. Using Monte Carlo simulations, we investigate the density pc of cooperators in the stationary state for various values of α and the rewiring probability q of the network. It is shown that the introduction of such attractive effect remarkably promotes the emergence and persistence of cooperation over a wide range of the temptation to defect for the same network structures. We also point out that long-range connections either enhance or inhibit the cooperation, which depends on the value of α and the payoff parameter b.  相似文献   
3.
We investigate the collection behaviour of coupled phase oscillators on Newman-Watts small-world networks in one and two dimensions. Each component of the network is assumed as an oscillator and each interacts with the others following the Kuramoto model We then study the onset of global synchronization of phases and frequencies based on dynamic simulations and finite-size scaling. Both the phase and frequency synchronization are observed to emerge in the presence of a tiny fraction of shortcuts and enhanced with the increases of nearest neighbours and lattice dimensions.  相似文献   
4.
王圣军  吴枝喜  董海荣  陈关荣 《中国物理 B》2011,20(4):48903-048903
Betweenness centrality is taken as a sensible indicator of the synchronizability of complex networks. To test whether betweenness centrality is a proper measure of the synchronizability in specific realizations of random networks,this paper adds edges to the networks and then evaluates the changes of betweenness centrality and network synchronizability. It finds that the two quantities vary independently.  相似文献   
5.
关剑月  吴枝喜  黄子罡  汪映海 《中国物理 B》2010,19(2):20203-020203
An evolutionary prisoner’s dilemma game is investigated on two-layered complex networks respectively representing interaction and learning networks in one and two dimensions. A parameter q is introduced to denote the correlation degree between the two-layered networks. Using Monte Carlo simulations we studied the effects of the correlation degree on cooperative behaviour and found that the cooperator density nontrivially changes with q for different payoff parameter values depending on the detailed strategy updating and network dimension. An explanation for the obtained results is provided.  相似文献   
6.
复杂网络上的博弈   总被引:1,自引:0,他引:1  
博弈理论在社会、经济、生物以及生态等系统中存在着广泛的应用, 复杂网络理论则是研究复杂系统全新而有力的工具, 因此将博弈理论与复杂网络理论相结合成为研究复杂系统一个新的热点. 概述国内外当前关于复杂网络上博弈动力学的研究情况和发展动态, 包括基本的博弈模型、主要关注的问题、以及网络结构和博弈动力学的相互作用等, 最后探讨进一步的研究课题.  相似文献   
7.
冯存芳  关剑月  吴枝喜  汪映海 《中国物理 B》2010,19(6):60203-060203
We have investigated the influence of the average degree k of network on the location of an order-disorder transition in opinion dynamics.For this purpose,a variant of majority rule (VMR) model is applied to Watts-Strogatz (WS) small-world networks and Barabá si-Albert (BA) scale-free networks which may describe some non-trivial properties of social systems.Using Monte Carlo simulations,we find that the order-disorder transition point of the VMR model is greatly affected by the average degree k of the networks;a larger value of k results in a more ordered state of the system.Comparing WS networks with BA networks,we find WS networks have better orderliness than BA networks when the average degree k is small.With the increase of k,BA networks have a more ordered state.By implementing finite-size scaling analysis,we also obtain critical exponents β/ν,γ/ν and 1/ν for several values of average degree k.Our results may be helpful to understand structural effects on order-disorder phase transition in the context of the majority rule model.  相似文献   
8.
Betweenness centrality is taken as a sensible indicator of the synchronizability of complex networks. To test whether betweenness centrality is a proper measure of the synchronizability in specific realizations of random networks, this paper adds edges to the networks and then evaluates the changes of betweenness centrality and network synchronizability. It finds that the two quantities vary independently.  相似文献   
9.
We study a memory-based Boolean game (MBBG) taking place on a regular ring, wherein each agent acts according to its local optimal states of the last M time steps recorded in memory, and the agents in the minority are rewarded. One free parameter p between 0 and 1 is introduced to denote the strength of the agent willing to make a decision according to its memory. It is found that giving proper willing strength p, the MBBG system can spontaneously evolve to a state of performance better than the random game; while for larger p, the herd behaviour emerges to reduce the system profit. By analysing the dependence of dynamics of the system on the memory capacity M, we find that a higher memory capacity favours the emergence of the better performance state, and effectively restrains the herd behaviour, thus increases the system profit. Considering the high cost of long-time memory, the enhancement of memory capacity for restraining the herd behaviour is also discussed, and M =5 is suggested to be a good choice.  相似文献   
10.
We study the growth of weighted networks with exponential aging of sites. Each new vertex of the network is connected to some old vertices with proportional (i) to the strength of the old vertex and (ii) to e^-αT, where T is the age of the old vertex and α is a positive constant. As soon as the preferential attachment is modified by such factors, the interesting quantities of the produced network (the vertex degree, vertex strength, clustering coefficient and average path length) will be significantly transformed.  相似文献   
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