论文标题
小组互动的共识：超图的自适应选民模型
Consensus from group interactions: An adaptive voter model on hypergraphs
论文作者
论文摘要
我们研究群体相互作用对自旋系统共识的出现的影响。具有离散意见的代理$ \ {0,1 \} $表单组。他们可以根据小组的影响力（选民动态）来改变意见，但小组也可以分裂和合并（适应）。在超图中，这些组由不同尺寸的超蛋白质表示。组大小的异质性由参数$β$控制。为了研究$β$对达成共识的影响，我们提供了广泛的计算机模拟，并将它们与平均磁化动力学的分析方法进行比较。我们发现，群体相互作用扩大了小的初始意见偏见，加速了共识的形成并导致平均磁力化的漂移。不再获得以基本选民模型而闻名的初始磁化的保护。
We study the effect of group interactions on the emergence of consensus in a spin system. Agents with discrete opinions $\{0,1\}$ form groups. They can change their opinion based on their group's influence (voter dynamics), but groups can also split and merge (adaptation). In a hypergraph, these groups are represented by hyperedges of different sizes. The heterogeneity of group sizes is controlled by a parameter $β$. To study the impact of $β$ on reaching consensus, we provide extensive computer simulations and compare them with an analytic approach for the dynamics of the average magnetization. We find that group interactions amplify small initial opinion biases, accelerate the formation of consensus and lead to a drift of the average magnetization. The conservation of the initial magnetization, known for basic voter models, is no longer obtained.
