顽固的少数群体在打破民主观点动力学方面的作用
The role of inflexible minorities in the breaking of democratic opinion dynamics
摘要：
我们研究了不灵活的代理人对两个国家的观点动力学的影响。该模型通过对代理的随机分组进行重复的本地更新来操作。虽然流动代理最终会改变他们的意见，以遵循当地的大多数，但不灵活的代理始终保持他们的意见不变。这是一个被压制的个人意见。在裸模型中（没有可分性），50%的分离器将动力学驱动到两个纯吸引子中的任何一个，每个吸引子都与沿着其中一个观点的完全极化相关联。最初的多数获胜。两种意见中只有一种意见的可接受性的存在被发现使分离器以低于50%的值移动，从而有利于该侧。此外，它在不变性周围创建了不可压缩的少数，其中一个纯吸引子变成了混合相吸引子。此外，超过17%的门槛，无论初始条件如何，他们的一方都有把握获胜。顽固不化的少数人获胜。在两侧上相等存在的可分性恢复了平衡的动态特性，再次使用50%的分离器，现在每侧上有两个混合相吸引子。然而，超过25%的动力学与一个独特的吸引子在一个50%的稳定平衡逆转。但是，一个非常小的优势，在合理的结果是一个决定性的降低分离器的优势，相应的意见。百分之几的优势确实保证成为一个单一的吸引多数。该模型被彻底解决了规模为3的群体。
英文摘要：
We study the effect of inflexible agents on two state opinion dynamics. The model operates via repeated local updates of random grouping of agents. While floater agents do eventually flip their opinion to follow the local majority, inflexible agents keep their opinion always unchanged. It is a quenched individual opinion. In the bare model (no inflexibles), a separator at 50% drives the dynamics towards either one of two pure attractors, each associated with a full polarization along one of the opinions. The initial majority wins. The existence of inflexibles for only one of the two opinions is found to shift the separator at a lower value than 50% in favor of that side. Moreover it creates an incompressible minority around the inflexibles, one of the pure attractors becoming a mixed phase attractor. In addition above a threshold of 17% inflexibles make their side sure of winning whatever the initial conditions are. The inflexible minority wins. An equal presence of inflexibles on both sides restores the balanced dynamics with again a separator at 50% and now two mixed phase attractors on each side. Nevertheless, beyond 25% the dynamics is reversed with a unique attractor at a fifty-fifty stable equilibrium. But a very small advantage in inflexibles results in a decisive lowering of the separator at the advantage of the corresponding opinion. A few percent advantage does guarantee to become majority with one single attractor. The model is solved exhaustedly for groups of size 3.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
