中文摘要
本文提出一个以网络为中介的互动模型,纳入了三元互动等高阶关系。个体行动的边际效用明确依赖于多个个体的内生行动。我们运用变分不等式方法推导出保证纳什均衡唯一性的条件。我们通过极大似然法估计模型参数,并推导其大样本性质。将模型应用于中国一所小学团队合作实验的数据,我们发现与外部指派队友相关的同伴效应因既有友谊网络的不同而变化。团队合作干预增强了同伴对态度的影响,同时削弱了学生之间的学业竞争。
Abstract
ABSTRACT We propose a model for network‐mediated interactions incorporating higher‐order relationships such as triadic interactions. The marginal utility of an individual's action depends explicitly on endogenous actions of multiple units. Conditions ensuring a unique Nash equilibrium are derived using a variational inequality approach. We estimate the model parameters via maximum likelihood and derive their large sample properties. Applying our model to data from a primary school teamwork experiment in China, we find that the peer effects associated with externally assigned teammates vary depending on preexisting friendship networks. The teamwork intervention enhances peer influence on attitudes while diminishing academic competition among students.