非保守派选民的动态
Dynamics of Non-Conservative Voters
摘要:
我们研究了一个家庭的意见形成模型在一个维度上的倾向,选民与当地环境的不同意的邻居的分数依赖于非线性。根据投票规则中的这种非线性,总体可能表现出朝向零磁化或朝向一致性的偏置,并且平均磁化通常不守恒。我们使用去耦近似截断方程的层次结构多点自旋相关性,从而得出的概率达到一个给定的共识作为初始磁化的函数的最终状态。选民的情况下,更遥远的选民的影响也被认为是通过调查Sznajd模型。
英文摘要:
We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting rule, the population may exhibit a bias toward zero magnetization or toward consensus, and the average magnetization is generally not conserved. We use a decoupling approximation to truncate the equation hierarchy for multi-point spin correlations and thereby derive the probability to reach a final state of a given consensus as a function of the initial magnetization. The case when voters are influenced by more distant voters is also considered by investigating the Sznajd model.
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