Journal of Economic Literature (JEL) Code(s)
C18, C61, C63
We provide a general framework for investigating partial identiﬁcation of structural dynamic discrete choice models and their counterfactuals, along with uniformly valid inference procedures. In doing so, we derive sharp bounds for the model parameters, counterfactual behavior, and low-dimensional outcomes of interest, such as the average welfare eﬀects of hypothetical policy interventions. We characterize the properties of the sets analytically and show that when the target outcome of interest is a scalar, its identiﬁed set is an interval whose endpoints can be calculated by solving well-behaved constrained optimization problems via standard algorithms. We obtain a uniformly valid inference procedure by an appropriate application of subsampling. To illustrate the performance and computational feasibility of the method, we consider both a Monte Carlo study of ﬁrm entry/exit, and an empirical model of export decisions applied to plant-level data from Colombian manufacturing industries. In these applications, we demonstrate how the identiﬁed sets shrink as we incorporate alternative model restrictions, providing intuition regarding the source and strength of identiﬁcation.
Kalouptsidi, Myrto; Kitamura, Yuichi; Lima, Lucas; and Souza-Rodrigues, Eduardo, "Partial Identification and Inference for Dynamic Models and Counterfactuals" (2020). Cowles Foundation Discussion Papers. 26.