慢即是快：通过异质性惯性促进共识形成
Slower is faster: Fostering consensus formation by heterogeneous intertia
摘要：
我们调查的选民模型中，选民配备了个人惯性改变他们的意见的扩展。这种惯性取决于选民当前观点的持续时间（老化）。我们专注于只有两个不同的惯性值的情况下：零，如果一个选民只是朝着一个新的意见和$ν$，否则改变。我们感兴趣的是达成共识的平均时间，即所有选民都采取相同意见的状态。增加系统的惯性意味着减缓选民一级的动态，这可能会导致更慢的共识形成。作为我们的惯性投票动态的意外结果，存在$ν$的参数区域，其中增加的惯性导致更快的共识形成。这些结果取决于选民的异质性，这种异质性通过所描述的老龄化而演变。在均匀惯性值的控制设置中，我们只发现单调增加的共识时间。在本文中，我们提出的平均场的情况下，允许分析洞察观察到的慢是快的效果的动力学方程。
英文摘要：
We investigate an extension of the voter model in which voters are equipped with an individual inertia to change their opinion. This inertia depends on the persistence time of a voter's current opinion (ageing). We focus on the case of only two different inertia values: zero if a voter just changed towards a new opinion and $ν$ otherwise. We are interested in the average time to reach consensus, i.e. the state in which all voters have adopted the same opinion. Adding inertia to the system means to slow down the dynamics at the voter's level, which should presumably lead to a slower consensus formation. As an unexpected outcome of our inertial voter dynamics, there is a parameter region of $ν$ where an increasing inertia leads to a faster consensus formation. These results rest on the heterogeneity of voters which evolves through the described ageing. In a control setting of homogeneous inertia values, we only find monotonously increasing consensus times. In the paper, we present dynamical equations for the mean-field case which allow for analytical insight into the observed slower-is-faster effect.
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