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Semiparametric Estimation of Dynamic Discrete Choice Models of Optimal Stopping with Unobserved Heterogeneity

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키워드

주제분류경제학

초록

This paper derives a multinomial logit form for dynamic discrete choice models of optimal stopping and suggests a two-step estimator. The first stage estimates nonparametrically the choice probability of terminal state next period. The second stage is an implementation of modified multinomial logit estimation. This paper also suggests semiparametric conditional choice probability (CCP) estimators for discrete choice dynamic models allowing for unobserved individual heterogeneity. I describe a modified Expectation-Maximization (EM) algorithm that involves nonparametric first stage estimation.

Abstract

This paper derives a multinomial logit form for dynamic discrete choice models of optimal stopping and suggests a two-step estimator. The first stage estimates nonparametrically the choice probability of terminal state next period. The second stage is an implementation of modified multinomial logit estimation. This paper also suggests semiparametric conditional choice probability (CCP) estimators for discrete choice dynamic models allowing for unobserved individual heterogeneity. I describe a modified Expectation-Maximization (EM) algorithm that involves nonparametric first stage estimation.

참고문헌 (10)

  1. Aguirregabiria, V., "Sequential Estimation of Dynamic Discrete Games", Econometrica, 75, pp.1~53 (2007)
  2. Arcidiacono, P., "Conditional Choice Probability Estimation of Dynamic Discrete Choice Models with Unobserved Heterogeneity", Econometrica, 7, pp.1823~1868 (2011)
  3. Heckman, J., "Dynamic Discrete Choice and Dynamic Treatment Effects", Journal of Econometrics, 136, pp.341~396 (2007)
  4. Hotz, V., "Conditional Choice Probabilities and the Estimation of Dynamic Models", Review of Economic Studies, 60, pp.497~529 (1993)
  5. Magnac, T., "Identifying Dynamic Discrete Decision Processes", Econometrica, 70, pp.801~816 (2002)
  6. Newey, W., "The Asymptotic Variance of Semiparemetric Estimators", Econometrica, 62, pp.1349~1382 (1994)
  7. Pakes, A., "Patens as Options: Some Estimates of the Value of Holding European Patent Stocks", Econometrica, 54, pp.755~784 (1987)
  8. John Rust, "OPTIMAL REPLACEMENT OF GMC BUS ENGINES - AN EMPIRICAL-MODEL OF ZURCHER,HAROLD", ECONOMETRICA, 55(5), pp.999~1033, ECONOMETRIC SOCIETY
  9. Rust, J., "Structural Estimation of Markov Decision Processes, in Handbook of Econometrics 4, ed", pp.3081~3143 (1994), North Holland
  10. Wolpin, K., "Estimating a Structural Search Model: The Transition from School to Work", Econometrica, 55, pp.801~818 (1987)

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