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An Adversarial Approach to Structural Estimation

Tetsuya Kaji, Elena Manresa and Guillaume Pouliot

Econometrica, 2023, vol. 91, issue 6, 2041-2063

Abstract: We propose a new simulation‐based estimation method, adversarial estimation, for structural models. The estimator is formulated as the solution to a minimax problem between a generator (which generates simulated observations using the structural model) and a discriminator (which classifies whether an observation is simulated). The discriminator maximizes the accuracy of its classification while the generator minimizes it. We show that, with a sufficiently rich discriminator, the adversarial estimator attains parametric efficiency under correct specification and the parametric rate under misspecification. We advocate the use of a neural network as a discriminator that can exploit adaptivity properties and attain fast rates of convergence.

Date: 2023
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