We introduce a new opinion model to study the opinion evolving in three typical networks (small-world network, scale-free network and highly clustered scale-free network) by employing Monte Carlo numerical simulation. To consider important social influence, we propose a heat bath like optimized opinion model that includes both local and global social impacts. By employing the new opinion model into three typical networks, we have found the main determinants of the evolution of the opinion, that were the weight constant of the local and global effects, the structure of the network, the size of the network and the initial density of the average opinion. The simulations show how those factors affect the evolving time of reaching the consensus quantitatively. Our model also could explain the cases of de facto standard and lock-in effect, well-known phenomenon in economics and business management.

中文翻译：

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典型网络中的意见动态，同时具有本地和全球社会影响

我们引入了一种新的意见模型，通过蒙特卡罗数值模拟研究了三种典型网络（小世界网络、无标度网络和高度聚类的无标度网络）中的意见演变。为了考虑重要的社会影响，我们提出了一个包括本地和全球社会影响的优化意见模型。通过将新的意见模型应用于三个典型的网络，我们发现了意见演变的主要决定因素，即局部和全局效应的权重常数、网络的结构、网络的规模和初始平均意见的密度。模拟显示了这些因素如何影响定量达成共识的演变时间。我们的模型还可以解释事实上的标准和锁定效应的情况，