论文标题

不灵活的少数群体在饮酒进化中的作用

Role of inflexible minorities in the evolution of alcohol consumption

论文作者

Crokidakis, Nuno, Sigaud, Lucas

论文摘要

在这项工作中,我们研究了一种简单的传染性模型,用于饮酒行为的演变,但包括不灵活或狂热的代理人的存在,即永远不会改变其行为的人(从不喝酒或总是喝很多)。我们分析了这种特殊代理人对饮酒行为进化的影响。我们的分析和数值结果表明,只有一类不灵活的药物的存在摧毁了在模型中观察到的两个没有这种不稳定的吸收阶段之一。在同时存在两种不灵活的药物的情况下,不再有吸收状态。由于吸收状态是集体宏观状态,只有一种人群中存在一种人群,因此我们认为在人群中包含不灵活的药物会使模型更加现实。此外,不灵活的药物的存在类似于模型中淬火疾病的引入,在这里我们观察到抑制了非平衡期向吸收状态的抑制,这是以前没有报道的。

In this work we study a simple contagion model for drinking behavior evolution, but including the presence of inflexible or zealot agents, i.e., individuals that never change their behavior (never drink or always drink a lot). We analyze the impact of such special agents in the evolution of drinking behavior in the population. Our analytical and numerical results indicate that the presence of only one class of inflexible agents destroys one of the two possible absorbing phases that are observed in the model without such inflexibles. In the presence of the both kinds of inflexible agents simultaneously, there are no absorbing states anymore. Since absorbing states are collective macroscopic states with the presence of only one kind of individuals in the population, we argue that the inclusion of inflexible agents in the population makes the model more realistic. Furthermore, the presence of inflexible agents are similar to the introduction of quenched disorder in the model, and here we observe the suppression of a nonequilibrium phase transition to absorbing states, which had not been reported before.

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