Estimating a Continuous Treatment Model with Spillovers: A Control Function Approach
存在溢出效应的连续处理模型估计:控制函数方法AI 解读 ↓
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存在溢出效应的连续处理模型估计:控制函数方法AI 解读 ↓
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We study a continuous treatment effect model in the presence of treatment spillovers through social networks.We assume that one's outcome is affected not only by his/her own treatment but also by a (weighted) average of his/her neighbors' treatments, both of which are treated as endogenous variables.Using a control function approach with appropriate instrumental variables, we show that the conditional mean potential outcome can be nonparametrically identified.We also consider a more empirically tractable semiparametric model and develop a three-step estimation procedure for this model.As an empirical illustration, we investigate the causal effect of the regional unemployment rate on the crime rate.