The evolution of cultural diversity in some social systems can be observed as the oppositional patterns in different levels, namely, the directions of the trends of diversity in different levels are opposite. In this paper, we propose a payoff-driven metapopulation modeling framework to investigate the origin of the oppositional patterns in the trends of cultural diversity. This model considers the mobile agents in multiple communities, and the cultural characteristics of an agent are represented by a vector. The diffusion of cultural characteristics is driven by two opposite effects: the communication cost positively depending on cultural difference between agents, and the cultural attractiveness single-peak-functional correlating on cultural difference. In the numerical simulations of the model, the polarization is observed in the case with the homophily principle, and two types of the oppositional patterns can emerge in the case with time-varying mobility of agents. These findings efficiently explain the emergence of the oppositional patterns and help to understand the evolution of diversity under the dynamics of both synchronization and variation.

中文翻译：

---

不同层次文化多样性对立模式的起源

一些社会系统中文化多样性的演变可以观察为不同层次的对立模式，即不同层次的多样性趋势方向相反。在本文中，我们提出了一个回报驱动的元种群建模框架，以研究文化多样性趋势中对立模式的起源。该模型考虑了多个社区中的移动智能体，一个智能体的文化特征由一个向量表示。文化特征的扩散由两个相反的效应驱动：传播成本正向依赖于代理人之间的文化差异，以及文化吸引力单峰函数与文化差异相关。在模型的数值模拟中，在具有同质性原理的情况下观察到极化，并且在具有时变流动性的情况下会出现两种类型的对立模式。这些发现有效地解释了对立模式的出现，并有助于理解在同步和变化的动态下多样性的演变。