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Estimation of Dynastic Life-Cycle Discrete Choice Models

Author

Listed:
  • George-Levi Gayle
  • Limor Golan
  • Mehmet A. Soytas
Abstract
This paper explores the estimation of a class of life-cycle discrete choice intergenerational models. It proposes a new semiparametric estimator. It shows that it is root-N-consistent and asymptotically normally distributed. We compare our estimator with a modified version of the full solution maximum likelihood estimator (MLE) in a Monte Carlo study. Our estimator performs comparably to the MLE in a finite sample but greatly reduces the computational cost. The paper documents that the quantity-quality trade-offs depend on the household composition and specialization in the household. Using the proposed estimator, we estimate a dynastic model that rationalizes these observed patterns.

Suggested Citation

  • George-Levi Gayle & Limor Golan & Mehmet A. Soytas, 2015. "Estimation of Dynastic Life-Cycle Discrete Choice Models," Working Papers 2015-20, Federal Reserve Bank of St. Louis.
  • Handle: RePEc:fip:fedlwp:2015-020
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    References listed on IDEAS

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    1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    2. Sumru Altuğ & Robert A. Miller, 1998. "The Effect of Work Experience on Female Wages and Labour Supply," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 45-85.
    3. Raquel Fernández & Nezih Guner & John Knowles, 2005. "Love and Money: A Theoretical and Empirical Analysis of Household Sorting and Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(1), pages 273-344.
    4. Becker, Gary S & Tomes, Nigel, 1976. "Child Endowments and the Quantity and Quality of Children," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 143-162, August.
    5. V. Joseph Hotz & Robert A. Miller & Seth Sanders & Jeffrey Smith, 1994. "A Simulation Estimator for Dynamic Models of Discrete Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 265-289.
    6. Victor Aguirregabiria & Pedro Mira, 2002. "Swapping the Nested Fixed Point Algorithm: A Class of Estimators for Discrete Markov Decision Models," Econometrica, Econometric Society, vol. 70(4), pages 1519-1543, July.
    7. Victor Aguirregabiria, 1999. "The Dynamics of Markups and Inventories in Retailing Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 275-308.
    8. Gayle, George-Levi & Golan, Limor & Soytas, Mehmet A., 2022. "What is the source of the intergenerational correlation in earnings?," Journal of Monetary Economics, Elsevier, vol. 129(C), pages 24-45.
    9. Hotz, V Joseph & Miller, Robert A, 1988. "An Empirical Analysis of Life Cycle Fertility and Female Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 91-118, January.
    10. 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.
    11. Gayle, George-Levi & Viauroux, Christelle, 2007. "Root-N consistent semiparametric estimators of a dynamic panel-sample-selection model," Journal of Econometrics, Elsevier, vol. 141(1), pages 179-212, November.
    12. Peter Arcidiacono & Holger Sieg & Frank Sloan, 2007. "Living Rationally Under The Volcano? An Empirical Analysis Of Heavy Drinking And Smoking," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(1), pages 37-65, February.
    13. Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-867, June.
    14. Miller, Robert A, 1984. "Job Matching and Occupational Choice," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 1086-1120, December.
    15. Omer Moav, 2005. "Cheap Children and the Persistence of Poverty," Economic Journal, Royal Economic Society, vol. 115(500), pages 88-110, January.
    16. Mariacristina De Nardi, 2004. "Wealth Inequality and Intergenerational Links," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 743-768.
    17. Jeremy Greenwood & Ananth Seshadri, 2002. "The U.S. Demographic Transition," American Economic Review, American Economic Association, vol. 92(2), pages 153-159, May.
    18. Kotlikoff, Laurence J & Summers, Lawrence H, 1981. "The Role of Intergenerational Transfers in Aggregate Capital Accumulation," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 706-732, August.
    19. Cagetti, Marco & De Nardi, Mariacristina, 2008. "Wealth Inequality: Data And Models," Macroeconomic Dynamics, Cambridge University Press, vol. 12(S2), pages 285-313, September.
    20. Gary S. Becker & Nigel Tomes, 1994. "Human Capital and the Rise and Fall of Families," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 257-298, National Bureau of Economic Research, Inc.
    21. Mehmet Soytas & Limor Golan & George-Levi Gayle, 2014. "What Accounts for the Racial Gap in Time Allocation and Intergenerational Transmission of Human Capital?," 2014 Meeting Papers 83, Society for Economic Dynamics.
    22. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 1-25.
    23. Newey, Whitney K, 1994. "The Asymptotic Variance of Semiparametric Estimators," Econometrica, Econometric Society, vol. 62(6), pages 1349-1382, November.
    24. Larry E. Jones & Alice Schoonbroodt & Michèle Tertilt, 2010. "Fertility Theories: Can They Explain the Negative Fertility-Income Relationship?," NBER Chapters, in: Demography and the Economy, pages 43-100, National Bureau of Economic Research, Inc.
    25. Nijman, Theo & Verbeek, Marno, 1992. "Nonresponse in Panel Data: The Impact on Estimates of a Life Cycle Consumption Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(3), pages 243-257, July-Sept.
    26. Heckman, James J & Hotz, V Joseph & Walker, James R, 1985. "New Evidence on the Timing and Spacing of Births," American Economic Review, American Economic Association, vol. 75(2), pages 179-184, May.
    27. Jeremy Greenwood & Nezih Guner & John A. Knowles, 2003. "More on Marriage, Fertility, and the Distribution of Income," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 827-862, August.
    28. Newey, Whitney K., 1984. "A method of moments interpretation of sequential estimators," Economics Letters, Elsevier, vol. 14(2-3), pages 201-206.
    29. MaCurdy, Thomas E, 1981. "An Empirical Model of Labor Supply in a Life-Cycle Setting," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1059-1085, December.
    30. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    31. Pakes, Ariel S, 1986. "Patents as Options: Some Estimates of the Value of Holding European Patent Stocks," Econometrica, Econometric Society, vol. 54(4), pages 755-784, July.
    32. Jordi Caballé & Luisa Fuster, 2003. "Pay-as-you-go Social Security and the Distribution of Altruistic Transfers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 541-567.
    33. Wolpin, Kenneth I, 1984. "An Estimable Dynamic Stochastic Model of Fertility and Child Mortality," Journal of Political Economy, University of Chicago Press, vol. 92(5), pages 852-874, October.
    34. Laitner, John, 1992. "Random earnings differences, lifetime liquidity constraints, and altruistic intergenerational transfers," Journal of Economic Theory, Elsevier, vol. 58(2), pages 135-170, December.
    35. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
    36. Jose-Victor Rios-Rull & Virginia Sánchez-Marcos, 2002. "College Attainment of Women," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 965-998, October.
    37. George-Levi Gayle & Robert A. Miller, 2002. "Life-Cycle Fertility and Human Capital Accumulation," GSIA Working Papers 2003-16, Carnegie Mellon University, Tepper School of Business.
    38. Dilip Mookherjee & Silvia Prina & Debraj Ray, 2012. "A Theory of Occupational Choice with Endogenous Fertility," American Economic Journal: Microeconomics, American Economic Association, vol. 4(4), pages 1-34, November.
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    Cited by:

    1. Musab Kurnaz & Mehmet Soytas, 2019. "Early Childhood Investment and Income Taxation," 2019 Meeting Papers 290, Society for Economic Dynamics.
    2. Mehmet Soytas & Limor Golan & George-Levi Gayle, 2014. "What Accounts for the Racial Gap in Time Allocation and Intergenerational Transmission of Human Capital?," 2014 Meeting Papers 83, Society for Economic Dynamics.
    3. Naijia Guo & Charles Ka Yui Leung, 2021. "Do elite colleges matter? The impact on entrepreneurship decisions and career dynamics," Quantitative Economics, Econometric Society, vol. 12(4), pages 1347-1397, November.
    4. Gayle, George-Levi & Golan, Limor & Soytas, Mehmet A., 2022. "What is the source of the intergenerational correlation in earnings?," Journal of Monetary Economics, Elsevier, vol. 129(C), pages 24-45.
    5. Sebastian Galiani & Juan Pantano, 2021. "Structural Models: Inception and Frontier," NBER Working Papers 28698, National Bureau of Economic Research, Inc.
    6. Kurnaz, Musab & Soytas, Mehmet A., 2019. "Intergenerational Income Mobility and Income Taxation," GLO Discussion Paper Series 409, Global Labor Organization (GLO).

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    More about this item

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion

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