Gimenez Maria Cecilia, Reinaudi Luis, Galam Serge, Vazquez Federico
Instituto de Física Enrique Gaviola (IFEG-Conicet), Facultad de Matemática, Astronomía, Fśica y Computación (FaMAF, Universidad Nacional de Córdoba), Córdoba X5000HUA, Argentina.
Instituto de Investigaciones en Físico-Química de Córdoba (INFIQC, Conicet), Facultad de Ciencias Químicas (Universidad Nacional de Córdoba), Córdoba X5000HUA, Argentina.
Entropy (Basel). 2023 Sep 30;25(10):1402. doi: 10.3390/e25101402.
We study the Galam majority rule dynamics with contrarian behavior and an oscillating external propaganda in a population of agents that can adopt one of two possible opinions. In an iteration step, a random agent interacts with three other random agents and takes the majority opinion among the agents with probability p(t) (majority behavior) or the opposite opinion with probability 1-p(t) (contrarian behavior). The probability of following the majority rule p(t) varies with the temperature and is coupled to a time-dependent oscillating field that mimics a mass media propaganda, in a way that agents are more likely to adopt the majority opinion when it is aligned with the sign of the field. We investigate the dynamics of this model on a complete graph and find various regimes as is varied. A transition temperature Tc separates a bimodal oscillatory regime for T<Tc, where the population's mean opinion oscillates around a positive or a negative value from a unimodal oscillatory regime for T>Tc in which oscillates around zero. These regimes are characterized by the distribution of residence times that exhibit a unique peak for a resonance temperature T*, where the response of the system is maximum. An insight into these results is given by a mean-field approach, which also shows that T* and Tc are closely related.
我们研究了在具有两种可能观点之一的主体群体中，存在逆向行为和振荡外部宣传的加拉姆多数规则动力学。在一个迭代步骤中，一个随机主体与其他三个随机主体相互作用，并以概率p(t)采取主体中的多数观点（多数行为），或以概率1 - p(t)采取相反观点（逆向行为）。遵循多数规则的概率p(t)随温度变化，并与一个模拟大众媒体宣传的随时间变化的振荡场耦合，使得当多数观点与场的符号一致时，主体更有可能采纳该多数观点。我们在完全图上研究此模型的动力学，并发现随着[未提及的某个参数]变化会出现各种状态。一个转变温度Tc将T < Tc时的双峰振荡状态与T > Tc时的单峰振荡状态分开，在双峰振荡状态下，群体的平均观点围绕正值或负值振荡，而在单峰振荡状态下，平均观点围绕零振荡。这些状态的特征在于停留时间的分布，对于共振温度T*，停留时间分布呈现出一个独特的峰值，此时系统的响应最大。平均场方法对这些结果给出了深入见解，该方法还表明T*和Tc密切相关。
