两态Axelrod模型中的一致性
Consensus in the two-state Axelrod model
摘要：
阿克塞尔罗德模型是一个空间随机模型的动态文化，类似于选举模型，包括社会影响，但不同于后者还占另一个社会因素称为同质性，倾向于互动更频繁的个人谁是更相似的。每个人的特征在于其对有限数量的文化特征的看法，每一种文化特征都可以假设相同的有限数量的状态。成对的相邻个体以等于它们共有特征的比例的速率相互作用，从而模拟同质性，这导致相互作用的一对具有一个共同的文化特征，从而模拟社会影响。基于数值模拟已经证明，当特征数量超过每个特征的状态数量时，一维Axelrod模型聚类。在这篇文章中，我们证明了这个猜想的两个状态模型的任意数量的功能。
英文摘要：
The Axelrod model is a spatial stochastic model for the dynamics of cultures which, similarly to the voter model, includes social influence, but differs from the latter by also accounting for another social factor called homophily, the tendency to interact more frequently with individuals who are more similar. Each individual is characterized by its opinions about a finite number of cultural features, each of which can assume the same finite number of states. Pairs of adjacent individuals interact at a rate equal to the fraction of features they have in common, thus modeling homophily, which results in the interacting pair having one more cultural feature in common, thus modeling social influence. It has been conjectured based on numerical simulations that the one-dimensional Axelrod model clusters when the number of features exceeds the number of states per feature. In this article, we prove this conjecture for the two-state model with an arbitrary number of features.
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。
