Intriguing effects of underlying star topology in Schelling's model with blocks.,Physical Review E

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Intriguing effects of underlying star topology in Schelling's model with blocks.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-30 , DOI: 10.1103/physreve.102.012317
Guifeng Su ₁ , Qi Xiong ₁ , Yi Zhang ₁

Affiliation

We explore the intriguing effects of the underlying star topological structure in the framework of Schelling's segregation model with blocks. The significant consequences exerted by the star topology are both theoretically analyzed and numerically simulated with and without introducing a fraction of altruistic agents, respectively. The collective utility of the model with egoists alone can be optimized and the optimum stationary state is achieved with the underlying star topology of blocks. More surprisingly, once a proportion of altruists is introduced, the average utility gradually decreases as the fraction of altruists increases. This presents a sharp contrast to the results in Schelling's model with a lattice topology of blocks. Furthermore, an adding-link mechanism is introduced to bridge the gap between the lattice and the star topologies and extend our analysis to more general scenarios. A scaling law of the average utility function is found for the star topology of blocks.

中文翻译：

带有块的Schelling模型中的潜在星型拓扑的有趣影响。

我们在具有块的Schelling分离模型的框架中探索潜在恒星拓扑结构的有趣影响。分别在引入和不引入少量利他剂的情况下，对星形拓扑结构产生的重大后果进行了理论分析和数值模拟。该模型仅由利己主义者组成的集体效用就可以得到优化，并且通过块的潜在星形拓扑可以实现最佳的稳态。更令人惊讶的是，一旦引入一定比例的利他主义者，平均效用就随着利他主义者的比例增加而逐渐降低。这与Schelling模型具有块晶格拓扑的结果形成了鲜明对比。此外，引入了附加链接机制，以弥合晶格和星形拓扑之间的间隙，并将我们的分析扩展到更一般的情况。对于块的星形拓扑，找到了平均效用函数的比例定律。

更新日期：2020-07-30

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