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Estimation of Dynamic Discrete Choice Models by Maximum Likelihood and the Simulated Method of Moments

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  • Eisenhauer, Philipp

    (University of Bonn)

  • Heckman, James J.

    (University of Chicago)

  • Mosso, Stefano

    (University of Chicago)

Abstract

We compare the performance of maximum likelihood (ML) and simulated method of moments (SMM) estimation for dynamic discrete choice models. We construct and estimate a simplified dynamic structural model of education that captures some basic features of educational choices in the United States in the 1980s and early 1990s. We use estimates from our model to simulate a synthetic dataset and assess the ability of ML and SMM to recover the model parameters on this sample. We investigate the performance of alternative tuning parameters for SMM.

Suggested Citation

  • Eisenhauer, Philipp & Heckman, James J. & Mosso, Stefano, 2014. "Estimation of Dynamic Discrete Choice Models by Maximum Likelihood and the Simulated Method of Moments," IZA Discussion Papers 8548, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp8548
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    1. Geweke, John, 1989. "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, Econometric Society, vol. 57(6), pages 1317-1339, November.
    2. Jérôme Adda & Christian Dustmann & Katrien Stevens, 2017. "The Career Costs of Children," Journal of Political Economy, University of Chicago Press, vol. 125(2), pages 293-337.
    3. Hansen, Karsten T. & Heckman, James J. & Mullen, K.J.Kathleen J., 2004. "The effect of schooling and ability on achievement test scores," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 39-98.
    4. Flavio Cunha & James J. Heckman & Salvador Navarro, 2007. "The Identification And Economic Content Of Ordered Choice Models With Stochastic Thresholds," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(4), pages 1273-1309, November.
    5. Keane, Michael P, 1994. "A Computationally Practical Simulation Estimator for Panel Data," Econometrica, Econometric Society, vol. 62(1), pages 95-116, January.
    6. Lee, Donghoon & Wolpin, Kenneth I., 2010. "Accounting for wage and employment changes in the US from 1968-2000: A dynamic model of labor market equilibrium," Journal of Econometrics, Elsevier, vol. 156(1), pages 68-85, May.
    7. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College," NBER Working Papers 9546, National Bureau of Economic Research, Inc.
    8. Andersen, Torben G & Sorensen, Bent E, 1996. "GMM Estimation of a Stochastic Volatility Model: A Monte Carlo Study," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 328-352, July.
    9. Flavio Cunha & James Heckman & Salvador Navarro, 2005. "Separating uncertainty from heterogeneity in life cycle earnings," Oxford Economic Papers, Oxford University Press, vol. 57(2), pages 191-261, April.
    10. Daniela Del Boca & Christopher Flinn & Matthew Wiswall, 2014. "Household Choices and Child Development," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 137-185.
    11. Donghoon Lee & Matthew Wiswall, 2007. "A Parallel Implementation of the Simplex Function Minimization Routine," Computational Economics, Springer;Society for Computational Economics, vol. 30(2), pages 171-187, September.
    12. Del Boca, Daniela & Flinn, Christopher, 2012. "Endogenous household interaction," Journal of Econometrics, Elsevier, vol. 166(1), pages 49-65.
    13. Heckman, James J. & Navarro, Salvador, 2007. "Dynamic discrete choice and dynamic treatment effects," Journal of Econometrics, Elsevier, vol. 136(2), pages 341-396, February.
    14. Jerome Adda & Christian Dustmann & Costas Meghir & Jean-Marc Robin, 2013. "Career Progression, Economic Downturns, and Skills," Cowles Foundation Discussion Papers 1889, Cowles Foundation for Research in Economics, Yale University.
    15. Torben G. Andersen & Luca Benzoni & Jesper Lund, 2002. "An Empirical Investigation of Continuous‐Time Equity Return Models," Journal of Finance, American Finance Association, vol. 57(3), pages 1239-1284, June.
    16. V. Joseph Hotz & Robert A. Miller, 1993. "Conditional Choice Probabilities and the Estimation of Dynamic Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 497-529.
    17. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2019. "Education Policy and Intergenerational Transfers in Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2569-2624.
    18. McFadden, Daniel, 1989. "A Method of Simulated Moments for Estimation of Discrete Response Models without Numerical Integration," Econometrica, Econometric Society, vol. 57(5), pages 995-1026, September.
    19. Raknerud, Arvid & Skare, Øivind, 2012. "Indirect inference methods for stochastic volatility models based on non-Gaussian Ornstein–Uhlenbeck processes," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3260-3275.
    20. Carneiro, Pedro & Hansen, Karsten T. & Heckman, James J., 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," IZA Discussion Papers 767, Institute of Labor Economics (IZA).
    21. Keane, Michael P & Wolpin, Kenneth I, 1994. "The Solution and Estimation of Discrete Choice Dynamic Programming Models by Simulation and Interpolation: Monte Carlo Evidence," The Review of Economics and Statistics, MIT Press, vol. 76(4), pages 648-672, November.
    22. Gallant, A. Ronald & Tauchen, George, 1996. "Which Moments to Match?," Econometric Theory, Cambridge University Press, vol. 12(4), pages 657-681, October.
    23. Bruins, Marianne & Duffy, James A. & Keane, Michael P. & Smith, Anthony A., 2018. "Generalized indirect inference for discrete choice models," Journal of Econometrics, Elsevier, vol. 205(1), pages 177-203.
    24. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "2001 Lawrence R. Klein Lecture Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 361-422, May.
    25. Flavio Cunha & James J. Heckman & Susanne M. Schennach, 2010. "Estimating the Technology of Cognitive and Noncognitive Skill Formation," Econometrica, Econometric Society, vol. 78(3), pages 883-931, May.
    26. Matthew T. Johnson, 2013. "Borrowing Constraints, College Enrollment, and Delayed Entry," Journal of Labor Economics, University of Chicago Press, vol. 31(4), pages 669-725.
    27. Carrasco, Marine & Florens, Jean-Pierre, 2002. "Simulation-Based Method of Moments and Efficiency," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 482-492, October.
    28. Nicholas Trachter, 2015. "Stepping stone and option value in a model of postsecondary education," Quantitative Economics, Econometric Society, vol. 6(1), pages 223-256, March.
    29. Wolpin, Kenneth I., 2013. "The Limits of Inference without Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019086, December.
    30. James Mabli & Christopher Flinn, 2007. "On-the-Job Search, Minimum Wages, and Labor Market Outcomes in an Equilibrium Bargaining Framework," 2007 Meeting Papers 791, Society for Economic Dynamics.
    31. Ruge-Murcia, Francisco, 2012. "Estimating nonlinear DSGE models by the simulated method of moments: With an application to business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 914-938.
    32. repec:mpr:mprres:7891 is not listed on IDEAS
    33. James Heckman & Rodrigo Pinto & Peter Savelyev, 2013. "Understanding the Mechanisms through Which an Influential Early Childhood Program Boosted Adult Outcomes," American Economic Review, American Economic Association, vol. 103(6), pages 2052-2086, October.
    34. Zvi Eckstein & Kenneth I. Wolpin, 1989. "The Specification and Estimation of Dynamic Stochastic Discrete Choice Models: A Survey," Journal of Human Resources, University of Wisconsin Press, vol. 24(4), pages 562-598.
    35. Peter Arcidiacono & Robert A. Miller, 2011. "Conditional Choice Probability Estimation of Dynamic Discrete Choice Models With Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 79(6), pages 1823-1867, November.
    36. Comay, Yochanan & Melnik, A & Pollatschek, M A, 1973. "The Option Value of Education and the Optimal Path for Investment in Human Capital," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 421-435, June.
    37. Vassilis A. Hajivassiliou & Daniel L. McFadden, 1998. "The Method of Simulated Scores for the Estimation of LDV Models," Econometrica, Econometric Society, vol. 66(4), pages 863-896, July.
    38. Keane, Michael P & Wolpin, Kenneth I, 1997. "The Career Decisions of Young Men," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 473-522, June.
    39. Heckman, James J, 1984. "The x[superscript]2 Goodness of Fit Statistic for Models with Parameters Estimated from Microdata," Econometrica, Econometric Society, vol. 52(6), pages 1543-1547, November.
    40. Heckman, James J & Walker, James R, 1990. "The Relationship between Wages and Income and the Timing and Spacing of Births: Evidence from Swedish Longitudinal Data," Econometrica, Econometric Society, vol. 58(6), pages 1411-1441, November.
    41. Rosen, Sherwin, 2007. "Studies in Labor Markets," National Bureau of Economic Research Books, University of Chicago Press, number 9780226726304, December.
    42. repec:ucp:bknber:9780226726281 is not listed on IDEAS
    43. Burton A. Weisbrod, 1962. "Education and Investment in Human Capital," NBER Chapters, in: Investment in Human Beings, pages 106-123, National Bureau of Economic Research, Inc.
    44. Matthew T. Johnson, 2013. "Borrowing Constraints, College Enrollment, and Delayed Entry," Mathematica Policy Research Reports 57fc00235c3a47ff92cb253f9, Mathematica Policy Research.
    45. Keane, Michael P. & Todd, Petra E. & Wolpin, Kenneth I., 2011. "The Structural Estimation of Behavioral Models: Discrete Choice Dynamic Programming Methods and Applications," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 4, pages 331-461, Elsevier.
    46. Burton A. Weisbrod, 1962. "Education and Investment in Human Capital," Journal of Political Economy, University of Chicago Press, vol. 70(5), pages 106-106.
    47. Flavio Cunha & James J. Heckman & Salvador Navarro, 2007. "The Identification & Economic Content of Ordered Choice Models with Stochastic Thresholds," Working Papers 200726, Geary Institute, University College Dublin.
    48. Andersen, Torben G. & Chung, Hyung-Jin & Sorensen, Bent E., 1999. "Efficient method of moments estimation of a stochastic volatility model: A Monte Carlo study," Journal of Econometrics, Elsevier, vol. 91(1), pages 61-87, July.
    49. Krinsky, Itzhak & Robb, A Leslie, 1986. "On Approximating the Statistical Properties of Elasticities," The Review of Economics and Statistics, MIT Press, vol. 68(4), pages 715-719, November.
    50. repec:hal:journl:hal-01070441 is not listed on IDEAS
    51. repec:hal:spmain:info:hdl:2441/27gcpqk7lh9jsrd5361jqsbt51 is not listed on IDEAS
    52. Donghoon Lee & Kenneth I. Wolpin, 2006. "Intersectoral Labor Mobility and the Growth of the Service Sector," Econometrica, Econometric Society, vol. 74(1), pages 1-46, January.
    53. Kenneth L. Judd & Ben Skrainka, 2011. "High performance quadrature rules: how numerical integration affects a popular model of product differentiation," CeMMAP working papers CWP03/11, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    54. Krinsky, Itzhak & Robb, A Leslie, 1990. "On Approximating the Statistical Properties of Elasticities: A Correction," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 189-190, February.
    55. Gourieroux, Christian & Monfort, Alain, 1997. "Simulation-based Econometric Methods," OUP Catalogue, Oxford University Press, number 9780198774754.
    56. Keane, Michael P & Wolpin, Kenneth I, 2001. "The Effect of Parental Transfers and Borrowing Constraints on Educational Attainment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1051-1103, November.
    57. Zvi Eckstein & Kenneth I. Wolpin, 1999. "Why Youths Drop Out of High School: The Impact of Preferences, Opportunities, and Abilities," Econometrica, Econometric Society, vol. 67(6), pages 1295-1340, November.
    58. James J. Heckman, 1981. "Heterogeneity and State Dependence," NBER Chapters, in: Studies in Labor Markets, pages 91-140, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Bhalotra, Sonia & Delavande, Adeline & Font-Gilabert, Paulino & Maselko, Joanna, 2020. "Maternal investments in children: the role of expected effort and returns," ISER Working Paper Series 2020-03, Institute for Social and Economic Research.
    2. Franco Peracchi & Claudio Rossetti, 2022. "A nonlinear dynamic factor model of health and medical treatment," Health Economics, John Wiley & Sons, Ltd., vol. 31(6), pages 1046-1066, June.
    3. Jérôme Adda & Christian Dustmann & Katrien Stevens, 2017. "The Career Costs of Children," Journal of Political Economy, University of Chicago Press, vol. 125(2), pages 293-337.
    4. Rania Gihleb & Osnat Lifshitz, 2022. "Dynamic Effects of Educational Assortative Mating on Labor Supply," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 46, pages 302-327, October.
    5. Jiayi Wen, 2018. "Occupational Retirement and Social Security Reform: the Roles of Physical and Cognitive Health," Working Papers 2018-12-04, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    6. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2019. "Education Policy and Intergenerational Transfers in Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2569-2624.
    7. Bhalotra, Sonia & Delavande, Adeline & Font-Gilabert, Paulino & Maselko, Joanna, 2022. "Maternal Investments in Children : The Role of Expected Effort and Returns," CAGE Online Working Paper Series 637, Competitive Advantage in the Global Economy (CAGE).
    8. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2013. "Education Policy�and Intergenerational Transfers in Equilibrium," Cowles Foundation Discussion Papers 1887, Cowles Foundation for Research in Economics, Yale University.
    9. Bhalotra, Sonia & Delavande, Adeline & Font-Gilabert, Paulino & Maselko, Joanna, 2022. "Maternal Investments in Children : The Role of Expected Effort and Returns," The Warwick Economics Research Paper Series (TWERPS) 1423, University of Warwick, Department of Economics.
    10. Bo Honoré & Thomas Jørgensen & Áureo de Paula, 2020. "The informativeness of estimation moments," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(7), pages 797-813, November.
    11. Philipp Eisenhauer & Lena Janys & Christopher Walsh & Janós Gabler, 2023. "Structural Models for Policy-Making," CRC TR 224 Discussion Paper Series crctr224_2023_484, University of Bonn and University of Mannheim, Germany.
    12. Heckman, James J. & Humphries, John Eric & Veramendi, Gregory & Urzua, Sergio, 2014. "Education, Health and Wages," IZA Discussion Papers 8027, Institute of Labor Economics (IZA).
    13. Chuan, Amanda & Zhang, Weilong, 2023. "Non-college Occupations, Workplace Routinization, and the Gender Gap in College Enrollment," IZA Discussion Papers 16089, Institute of Labor Economics (IZA).
    14. Tincani, Michela M. & Kosse, Fabian & Miglino, Enrico, 2022. "The Effect of Preferential Admissions on the College Participation of Disadvantaged Students: The Role of Pre-College Choices," IZA Discussion Papers 15633, Institute of Labor Economics (IZA).
    15. Jack Britton & Ben Waltmann, 2021. "Revisiting the solution of dynamic discrete choice models: time to bring back Keane and Wolpin (1994)?," IFS Working Papers W21/13, Institute for Fiscal Studies.
    16. Manudeep Bhuller & Philipp Eisenhauer & Moritz Mendel, 2022. "Sequential Choices, Option Values, and the Returns to Education," Papers 2205.05444, arXiv.org.
    17. Maibom, Jonas, 2021. "The Welfare Effects of Mandatory Reemployment Programs: Combining a Structural Model and Experimental Data," IZA Discussion Papers 14866, Institute of Labor Economics (IZA).
    18. Chuan, A. & Zhang, W., 2021. "Non-College Occupations, Workplace Routinization, and the Gender Gap in College Enrollment," Cambridge Working Papers in Economics 2177, Faculty of Economics, University of Cambridge.
    19. Magalhães, Graziella & Turchick, David, 2022. "Growth and inequality under different hierarchical education regimes," Economic Modelling, Elsevier, vol. 116(C).

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    More about this item

    Keywords

    simulation-based estimation; dynamic discrete choice; returns to education;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

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