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Estimating a Continuous Treatment Model with Spillovers:A Control Function Approach(Published in Journal of Business and Economic Statics, June 2023)

Journal Title
/掲載ジャーナル名
Journal of Business and Economic Statics
Publication Year and Month
/掲載年月
June, 2023
Paper Title
/論文タイトル
Estimating a Continuous Treatment Model with Spillovers:A Control Function Approach
DOI
/論文DOI
10.1080/07350015.2023.2207617
 Author of Waseda University
/本学の著者
HOSHINO, Tadao(Associate Professor, Faculty of Political Science and Economics, School of Political Science and Economics):First Author, Corresponding Author, Last Author
Related Websites
/関連Web
Abstract
/抄録
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.
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