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Computing semiparametric efficiency bounds in discrete choice models with strategic-interactions and rational expectations

Andres Aradillas-Lopez

Journal of Econometrics, 2021, vol. 221, issue 1, 25-42

Abstract: This paper computes semiparametric efficiency bounds for finite-dimensional parameters in discrete choice models with nonparametric regressors in the form of conditional expectations. These can include expectations about exogenous events as well as expectations about the choices of other agents. Thus, the models studied here include incomplete-information games, social-interactions models as well as single-agent discrete choice models with uncertainty as special cases. Our bounds rely on the assumption of rational expectations and on regularity conditions of equilibrium beliefs. The paper focuses on binary-choice models but the derivation of the bounds illustrates how our approach can be extended to multinomial choice cases. Explicit efficiency bound expressions for the models examined here had not been derived before. Furthermore, since we also characterize the efficient influence functions, our results can also potentially be used to construct semiparametrically efficient estimators for these models.

Keywords: Efficiency bounds; Semiparametric models; Games; Social interactions (search for similar items in EconPapers)
JEL-codes: C14 C25 C31 C35 C57 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:221:y:2021:i:1:p:25-42

DOI: 10.1016/j.jeconom.2020.02.001

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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