Abstract

The opinion evolution of a group of agents arranged in a square lattice in the presence of external constant propaganda is studied. The contagion between agents is modeled according to the voter model, but the effect of external propaganda and a social temperature is also considered. At a first stage, the influence of the contagion probability, the temperature, and the value of the propaganda are analyzed for a homogeneous application of this last parameter. An analytical expression was found for the stationary state in some cases. Also, the effect of the spatial location of the propaganda is analyzed, where it is applied only to a subset of agents. The random distribution of agents affected by the propaganda was found to be the most effective, while for the case of distribution in patches and stripes, it depends on their size.

Graphic abstract

中文翻译：

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在不断宣传的情况下意见的演变：同质和局部案例

摘要

研究了在外部恒定宣传情况下以正方形格子排列的一组主体的观点演化。特工之间的传染是根据选民模型来建模的，但也要考虑外部宣传和社会温度的影响。在第一阶段，分析传播可能性，温度和宣传值的影响，以均匀应用此最后一个参数。在某些情况下，找到了稳态的解析表达式。同样，分析了宣传的空间位置的影响，该影响仅应用于代理的子集。发现受到宣传影响的病菌的随机分布是最有效的，而对于斑块和条纹分布的情况，则取决于它们的大小。

图形摘要