论文标题

意见成本变化的集体影响

Collective effects of the cost of opinion change

论文作者

Schawe, Hendrik, Hernández, Laura

论文摘要

在不断变化的意见涉及代理商成本的情况下,我们研究了舆论形成的动态。为此,我们将异构信心的动力Hegselmann-Krause模型与代理商在每个意见变化上投资的资源的动力。动力学的结果是非平凡的,并且很大程度上取决于置信参数空间的不同区域。特别是,在该区域中发现了相应的临界指数的二阶相变,在该区域中发现了在异质Hegselmann-Krause模型中观察到重点共识阶段的区域。对于在异质Hegselmann-Krause模型中总是存在共识的地区,成本的引入不会导致相变,而只是不断减小最大意见集群的规模。最后,在异质HK模型中预计破碎的地区,偶然地引入了很小的成本,从而增加了最大意见集群的大小。

We study the dynamics of opinion formation in the situation where changing opinion involves a cost for the agents. To do so we couple the dynamics of a heterogeneous bounded confidence Hegselmann-Krause model with that of the resources that the agents invest on each opinion change. The outcomes of the dynamics are non-trivial and strongly depend on the different regions of the confidence parameter space. In particular, a second order phase transition, for which we determine the corresponding critical exponents, is found in the region where a re-entrant consensus phase is observed in the heterogeneous Hegselmann-Krause model. For regions where consensus always exist in the heterogeneous Hegselmann-Krause model, the introduction of cost does not lead to a phase transition but just to a continuous decrease of the size of the largest opinion cluster. Finally in the region where fragmentation is expected in the heterogeneous HK model, the introduction of a very small cost paradoxically increases the size of the largest opinion cluster.

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