We consider opinion diffusion for undirected networks with sequential updates when the opinions of the agents are single-peaked preference rankings. Our starting point is the study of preserving single-peakedness. We identify voting rules that, when given a single-peaked profile, output at least one ranking that is single peaked w.r.t. a single-peaked axis of the input. For such voting rules we show convergence to a stable state of the diffusion process that uses the voting rule as the agents' update rule. Further, we establish an efficient algorithm that maximises the spread of extreme opinions.

翻译：当代理商的意见是单峰优惠等级时,我们考虑以连续更新为顺序更新的无方向网络的意见传播。我们的出发点是研究保持单峰优惠等级。我们确定表决规则,如果给单一峰值的配置,我们确定至少输出一个排行,即输入的单峰值(w.r.t.)的单峰值轴。对于这种表决规则,我们表现出对以投票规则作为代理商更新规则的传播过程的稳定状态的趋同。此外,我们建立了一种有效的算法,最大限度地扩大极端观点的传播。