Tang Chuan-Long, Lin Bo-Yu, Wang Wen-Xu, Hu Mao-Bin, Wang Bing-Hong
Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Feb;75(2 Pt 2):027101. doi: 10.1103/PhysRevE.75.027101. Epub 2007 Feb 8.
We present a modified naming game by introducing weights of words in the evolution process. We assign the weight of a word spoken by an agent according to its connectivity, which is a natural reflection of the agent's influence in population. A tunable parameter is introduced, governing the word weight based on the connectivity of agents. We consider the scale-free topology and concentrate on the efficiency of reaching the final consensus, which is of high importance in the self-organized system. Interestingly, it is found that there exists an optimal parameter value, leading to the fastest convergence. This indicates appropriate hub's effects favor the achievement of consensus. The evolution of distinct words helps to give a qualitative explanation of this phenomena. Similar nontrivial phenomena are observed in the total memory of agents with a peak in the middle range of parameter values. Other relevant characters are provided as well, including the time evolution of total memory and success rate for different parameter values as well as the average degree of the network, which are helpful for understanding the dynamics of the modified naming game in detail.
我们通过在演化过程中引入词的权重来提出一种改进的命名游戏。我们根据主体所说单词的连通性来分配该单词的权重，连通性自然反映了主体在群体中的影响力。引入了一个可调参数，基于主体的连通性来控制词的权重。我们考虑无标度拓扑结构，并专注于达成最终共识的效率，这在自组织系统中非常重要。有趣的是，发现存在一个最优参数值，可导致最快的收敛。这表明适当的中心节点效应有利于达成共识。不同单词的演化有助于对这一现象给出定性解释。在主体的总记忆中也观察到类似的非平凡现象，在参数值的中间范围内出现峰值。还提供了其他相关特征，包括不同参数值下总记忆的时间演化、成功率以及网络的平均度，这有助于详细理解改进的命名游戏的动态过程。
