一个具有连续体主体的社会传播模型的注记
Notes on a Social Transmission Model with a Continuum of Agents
摘要：
本说明提出了一个简单的遗传世代（OLG）模型的特点，如文化的传播。最初，一部分代理人携带该特性。在每个时间段，年轻的代理人是“出生”，并受到一些老年人的影响。只有当至少有一定数量的影响者具有这种特质时，代理人才会采用这种特质。这种影响可能是由于理性选择（例如，因为年轻的代理正在与已经致力于策略的老代理进行协调博弈），或者出于某些其他原因。我们感兴趣的是社会影响的过程如何随着时间的推移而展开，以及一种特质是会持续存在还是会消失。我们的动力学特征的活性剂的分数和分支过程和随机图的经典结果的分析。
英文摘要：
This note presents a simple overlapping-generations (OLG) model of the transmission of a trait, such as a culture. Initially, some fraction of agents carry the trait. In each time period, young agents are "born" and are influenced by some older agents. Agents adopt the trait only if at least a certain number of their influencers have the trait. This influence may occur due to rational choice (e.g., because the young agents are playing a coordination game with old agents who are already committed to a strategy), or for some other reason. Our interest is in how the process of social influence unfolds over time, and whether a trait will persist or die out. We characterize the dynamics of the fraction of active agents and relate the analysis to classic results on branching processes and random graphs.
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。
