Schelling分离模型自然扩张的极限集
Limit Sets for Natural Extensions of Schelling's Segregation Model
摘要：
托马斯·谢林（Thomas Schelling）开发了一个有影响力的人口模型，该模型说明了即使对每个人的近邻偏好进行相对温和的假设，一个一体化的城市也可能会瓦解为一个隔离的城市，即使所有人都喜欢一体化。在谢林的模型城市中，个体被分成两组，每组的数量相等，当相似邻居的数量超过一个简单的阈值时，每个个体都是“快乐”或“不快乐”的。在这份手稿中，我们认为谢林的原始模型的自然扩展，使两个群体有不同的大小，并允许不同的个人幸福的概念。我们观察到，大多数和少数群体的聚集模式的差异是高度敏感的幸福阈值;低阈值，差异很小，当阈值提高，引人注目的新模式出现。我们还观察到，当个人强烈倾向于生活在一体化的社区，最终的国家表现出一个新的镶嵌状结构。
英文摘要：
Thomas Schelling developed an influential demographic model that illustrated how, even with relatively mild assumptions on each individual's nearest neighbor preferences, an integrated city would likely unravel to a segregated city, even if all individuals prefer integration. Individuals in Schelling's model cities are divided into two groups of equal number and each individual is 'happy' or 'unhappy' when the number of similar neighbors cross a simple threshold. In this manuscript we consider natural extensions of Schelling's original model to allow the two groups have different sizes and to allow different notions of happiness of an individual. We observe that differences in aggregation patterns of majority and minority groups are highly sensitive to the happiness threshold; for low threshold, the differences are small, and when the threshold is raised, striking new patterns emerge. We also observe that when individuals strongly prefer to live integrated neighborhoods, the final states exhibit a new tessellated-like structure.
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。
