论文标题
与代理商连续的社交传输模型的注释
Notes on a Social Transmission Model with a Continuum of Agents
论文作者
论文摘要
本说明提出了一种简单的重叠生成（OLG）模型，例如一种文化。最初，一部分代理具有特征。在每个时间段，年轻的代理商都是“天生的”，并受到一些年长代理商的影响。代理人只有至少一定数量的影响者具有特征的特征。这种影响可能是由于理性的选择而发生的（例如，因为年轻的代理商正在与已经致力于策略致力于策略的旧代理商进行协调游戏，或出于某些其他原因。我们的兴趣在于社会影响过程如何随着时间的流逝而发展，以及一个特征是否会持续还是消失。我们表征了活性剂分数的动力学，并将分析与分支过程和随机图的经典结果相关联。
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.
