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Recently, empirical industrial organization economists have proposed estimators for dynamic games of incomplete information.In these models, agents choose from a finite number actions and maximize expected discounted utility in a Markov perfect equilibrium.Previous econometric methods estimate the probability distribution of agents' actions in a first stage.In a second step, a finite vector of parameters of the period return function are estimated.In this paper, we develop semiparametric estimators for dynamic games allowing for continuous state variables and a nonparametric first stage.The estimates of the structural parameters are T 1/2 consistent (where T is the sample size) and asymptotically normal even though the first stage is estimated nonparametrically.We also propose sufficient conditions for identification of the model.
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