The noisy Hegselmann-Krause model for opinion dynamics
The noisy Hegselmann-Krause model for opinion dynamics
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DOI：
10.1140/epjb/e2013-40777-7
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发表时间：
2013-09
期刊：
影响因子：
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通讯作者：
Miguel Pineda;R. Toral;E. Hernández‐García
中科院分区：
文献类型：
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作者：
Miguel Pineda;R. Toral;E. Hernández‐García
在Hegselmann和Krause提出的连续意见动态模型中，每个人在一个信任范围内移动到所有人的平均意见。在这项工作中，我们研究了噪声在该系统中的影响。在一定的概率下，个体被给予机会自发地将他们的观点改变为在不同规则的观点空间中随机选择的另一个观点。如果没有发生随机跳跃，个体就会通过黑格尔曼-克劳斯规则进行互动。我们分析了两种情况，一种是个体可以在整个意见空间内进行意见随机跳跃，另一种是允许他们在以当前意见为中心的小区间内进行跳跃。我们发现，这些观点的随机跳跃改变了模型的行为，引发了有趣的现象。利用模式形成技术，我们得到了意见簇形成的临界条件的近似解析结果。最后，我们将这项工作的结果与Deffuant等人的噪声版本进行了比较。首页--期刊主要分类--期刊细介绍--期刊题录与期刊详细文摘内容Syst.3，87(2000)]，连续意见动态。
In the model for continuous opinion dynamics introduced by Hegselmann and Krause, each individual moves to the average opinion of all individuals within an area of confidence. In this work we study the effects of noise in this system. With certain probability, individuals are given the opportunity to change spontaneously their opinion to another one selected randomly inside the opinion space with different rules. If the random jump does not occur, individuals interact through the Hegselmann-Krause’s rule. We analyze two cases, one where individuals can carry out opinion random jumps inside the whole opinion space, and other where they are allowed to perform jumps just inside a small interval centered around the current opinion. We found that these opinion random jumps change the model behavior inducing interesting phenomena. Using pattern formation techniques, we obtain approximate analytical results for critical conditions of opinion cluster formation. Finally, we compare the results of this work with the noisy version of the Deffuant et al. model [G. Deffuant, D. Neu, F. Amblard, G. Weisbuch, Adv. Compl. Syst.3, 87 (2000)] for continuous-opinion dynamics.