空间网络的标度性质对Naming Game演化行为的影响

鉴于社会网络结构对于信息传播、共识形成等社会行为的重要影响,在有限能量约束条件下,通过添加距离服从幂律分布的长程连边,构造出具有标度性质的空间网络。在此空间网络上,讨论了引入无意收听机制的Naming Game模型的演化行为。研究发现,存在一个最优的幂指数,使得该空间网络上的Naming Game模型收敛时间最短,当能量约束足够大时,这一最优幂指数趋于1.5附近。本研究说明,社会关系网络中的空间性质对于社会集体认同的形成有很大的影响。

Effects of Geographic Scaling Property on the Evolution of Naming Game

The structure of social networks is of paramount importance in collective behaviors ,e .g . information propagation ,consensus and formation of social norms .In this paper ,a special net‐work is constructed by adding remote links among nodes over lattice graphs with total energy constraints .A power law distribution is used to model the relation between the link probability and the distance .We study the effect of geographic scaling property on the dynamics of Naming Game with a group interaction rule .We find that there exists an optimal parameter value which minimizes the time to converge to global consensus .When the total energy constraint is large e‐nough the optimal parameter value is approximately 1.5 .Numerical simulations indicate that the geographic scaling property in social network plays an important role in the emergence of social collective behavior and rules .