Tadao Hoshino, Takahide Yanagi
arXiv 19 Oct 2018 · Econometrics · publishedJournal of Econometrics (2023) · 3 citations (OpenAlex)
arXiv:1810.08350 · PDF · DOI · OpenAlex · Extracted main text
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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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Lee, S. and Salanié, B (2018) Identifying effects of multivalued treatments | 1.000 | 7 | 3 | 100% |
| 2 | Card, D. and Giuliano, L (2013) Peer effects and multiple equilibria in the risky behavior of friends | 1.000 | 6 | 5 | 100% |
| 3 | Heckman, J.J. and Vytlacil, E.J (1999) Local instrumental variables and latent variable models for identifying and bounding treatment effects | 1.000 | 6 | 3 | 100% |
| 4 | Han, S. and Vytlacil, E.J (2017) Identification in a generalization of bivariate probit models with dummy endogenous regressors | 0.928 | 10 | 3 | 80% |
| 5 | Soetevent, A.R. and Kooreman, P (2007) A discrete-choice model with social interactions: with an application to high school teen behavior | 0.928 | 4 | 4 | 100% |
| 6 | Heckman, J.J. and Vytlacil, E.J (2005) Structural equations, treatment effects, and econometric policy evaluation | 0.909 | 8 | 4 | 75% |
| 7 | Tamer, E (2003) Incomplete simultaneous discrete response model with multiple equilibria | 0.843 | 3 | 3 | 100% |
| 8 | Bjorn, P.A. and Vuong, Q.H (1984) Simultaneous equations models for dummy endogenous variables: a game theoretic formulation with an application to labor force pa… | 0.811 | 4 | 2 | 100% |
| 9 | Balat, J. and Han, S (2022) Multiple treatments with strategic substitutes | 0.737 | 3 | 2 | 100% |
| 10 | Heckman, J.J. and Pinto, R (2018) Unordered monotonicity | 0.737 | 3 | 2 | 100% |
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