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Treatment effect models with strategic interaction in treatment decisions(Published in Journal of Econometrics, October 2023)

Journal Title
/掲載ジャーナル名
Journal of Econometrics
Publication Year and Month
/掲載年月
October, 2023
Paper Title
/論文タイトル
Treatment effect models with strategic interaction in treatment decisions
DOI
/論文DOI
10.1016/j.jeconom.2023.105495
 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, Correspoinding Author
Related Websites
/関連Web
Abstract
/抄録
This study considers treatment effect models in which others’ treatment decisions can affect both one’s own treatment and outcome. Focusing on the case of two-player interactions, we formulate treatment decision behavior as a complete information game with multiple equilibria. Using a latent index framework and assuming a stochastic equilibrium selection, we prove that the marginal treatment effect from one’s own treatment and that from the partner are identifiable on the conditional supports of certain threshold variables determined through the game model. Based on our constructive identification results, we propose a two-step semiparametric procedure for estimating the marginal treatment effects using series approximation. We show that the proposed estimator is uniformly consistent and asymptotically normally distributed. As an empirical illustration, we investigate the impacts of risky behaviors on adolescents’ academic performance.
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