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Socially optimal social security and education subsidization in a dynastic model with human capital externalities, fertility and endogenous growth

  • Yew, Siew Ling
  • Zhang, Jie

This paper considers socially optimal government policies in a dynastic family model with physical capital, human capital, endogenous fertility and positive spillovers from average human capital. Such spillovers reduce human capital investment but raise fertility from their social optimum. We first characterize the social optimum with a non-convex feasible set due to the quantity–quality tradeoff concerning children. We then show that social security and education subsidization together, financed by labor income taxes, can fully eliminate the efficiency losses of the spillovers and achieve the social optimum under plausible conditions. However, none of the policies can do so alone.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 37 (2013)
Issue (Month): 1 ()
Pages: 154-175

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Handle: RePEc:eee:dyncon:v:37:y:2013:i:1:p:154-175
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  1. Mikhail Golosov & Larry E. Jones & Michele Tertilt, 2004. "Efficiency with Endogenous Population Growth," NBER Working Papers 10231, National Bureau of Economic Research, Inc.
  2. Susan E. Mayer & Leonard M. Lopoo, 2004. "Has the Intergenerational Transmission of Economic Status Changed?," Working Papers 0414, Harris School of Public Policy Studies, University of Chicago.
  3. Paul Gomme & Finn E. Kydland & Peter Rupert, 2001. "Home Production Meets Time to Build," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1115-1131, October.
  4. Solon, Gary, 1992. "Intergenerational Income Mobility in the United States," American Economic Review, American Economic Association, vol. 82(3), pages 393-408, June.
  5. George J. Borjas, 1994. "Long-run convergence of ethnic skill differentials: The children and grandchildren of the Great Migration," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 47(4), pages 553-573, July.
  6. Gary S. Becker & Robert J. Barro, 1986. "A Reformulation of the Economic Theory of Fertility," NBER Working Papers 1793, National Bureau of Economic Research, Inc.
  7. Rosenzweig, Mark R & Wolpin, Kenneth I, 1980. "Testing the Quantity-Quality Fertility Model: The Use of Twins as a Natural Experiment," Econometrica, Econometric Society, vol. 48(1), pages 227-40, January.
  8. Benabou, R., 1999. "Tax and Education Policy in a Heterogeneous Agent Economy: What Levels of Redistribution Maximize Growth and Efficiency?," Working Papers 99-12, C.V. Starr Center for Applied Economics, New York University.
  9. Alexander Kemnitz, 2000. "Social security, public education, and growth in a representative democracy," Journal of Population Economics, Springer, vol. 13(3), pages 443-462.
  10. John Laitner, 1993. "Long-Run Growth and Human Capital," Canadian Journal of Economics, Canadian Economics Association, vol. 26(4), pages 796-814, November.
  11. Enrico Moretti, 2004. "Workers' Education, Spillovers, and Productivity: Evidence from Plant-Level Production Functions," American Economic Review, American Economic Association, vol. 94(3), pages 656-690, June.
  12. Michele Boldrin & Ana Montes, 2005. "The Intergenerational State Education and Pensions," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 651-664.
  13. Thomas F. Cooley & Jorge Soares, 1999. "A Positive Theory of Social Security Based on Reputation," Journal of Political Economy, University of Chicago Press, vol. 107(1), pages 135-160, February.
  14. Nishimura, Kazuo & Zhang, Junsen, 1992. "Pay-as-you-go public pensions with endogenous fertility," Journal of Public Economics, Elsevier, vol. 48(2), pages 239-258, July.
  15. Juan A. Rojas, 2003. "On The Interaction Between Education And Social Security," Economics Working Papers we033511, Universidad Carlos III, Departamento de Economía.
  16. Laitner, J. & Ohlsson, H., 1998. "Bequest Motives: a Comparison of Sweden and the United States," Papers 1998:16, Uppsala - Working Paper Series.
  17. Matthias Doepke & Fabrizio Zilibotti, 2005. "The Macroeconomics of Child Labor Regulation," American Economic Review, American Economic Association, vol. 95(5), pages 1492-1524, December.
  18. Panu Poutvaara, 2003. "On the Political Economy of Social Security and Public Education," Public Economics 0303001, EconWPA.
  19. Sascha Becker & Francesco Cinnirella & Ludger Woessmann, 2010. "The trade-off between fertility and education: evidence from before the demographic transition," Journal of Economic Growth, Springer, vol. 15(3), pages 177-204, September.
  20. Tamura, Robert, 1991. "Income Convergence in an Endogenous Growth Model," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 522-40, June.
  21. Zhang, Jie, 1995. "Social security and endogenous growth," Journal of Public Economics, Elsevier, vol. 58(2), pages 185-213, October.
  22. John Laitner & F. Thomas Juster, 1993. "New evidence on altruism: a study of TIAA-CREF retirees," Discussion Paper / Institute for Empirical Macroeconomics 86, Federal Reserve Bank of Minneapolis.
  23. George J. Borjas, 1994. "Ethnicity, Neighborhoods, and Human Capital Externalities," NBER Working Papers 4912, National Bureau of Economic Research, Inc.
  24. Cremer, Helmuth & Pestieau, Pierre, 1998. "Social insurance, majority voting and labor mobility," Journal of Public Economics, Elsevier, vol. 68(3), pages 397-420, June.
  25. Berthold U. Wigger, 2004. "Are Higher Education Subsidies Second Best?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(1), pages 65-82, 03.
  26. 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.
  27. Berthold U. Wigger, 2000. "Pareto-Improving Intergenerational Transfers," CESifo Working Paper Series 285, CESifo Group Munich.
  28. Frederic, DOCQUIER & Oliver, Paddison & Pierre PESTIEAU, 2006. "Optimal accumulation in an endogenous growth setting with human capital," Discussion Papers (ECON - Département des Sciences Economiques) 2006022, Université catholique de Louvain, Département des Sciences Economiques.
  29. Kaganovich, M & Zilcha, I, 1997. "Education, Social Security and Growth," Papers 1-97, Tel Aviv.
  30. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  31. Azariadis, Costas & Drazen, Allan, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 501-26, May.
  32. Borjas, George J, 1992. "Ethnic Capital and Intergenerational Mobility," The Quarterly Journal of Economics, MIT Press, vol. 107(1), pages 123-50, February.
  33. Rosati, Furio Camillo, 1996. "Social security in a non-altruistic model with uncertainty and endogenous fertility," Journal of Public Economics, Elsevier, vol. 60(2), pages 283-294, May.
  34. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1, May.
  35. Zhang, Jie & Zhang, Junsen, 2007. "Optimal social security in a dynastic model with investment externalities and endogenous fertility," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3545-3567, November.
  36. Corneo, Giacomo & Marquardt, Marko, 2000. "Public pensions, unemployment insurance, and growth," Journal of Public Economics, Elsevier, vol. 75(2), pages 293-311, February.
  37. Smith, Adam, 1776. "An Inquiry into the Nature and Causes of the Wealth of Nations," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number smith1776.
  38. Alan B. Krueger, 1998. "Reassessing the view that American schools are broken," Economic Policy Review, Federal Reserve Bank of New York, issue Mar, pages 29-43.
  39. 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 (3rd Edition), pages 257-298 National Bureau of Economic Research, Inc.
  40. Gary S. Becker & Kevin M. Murphy & Robert Tamura, 1994. "Human Capital, Fertility, and Economic Growth," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education (3rd Edition), pages 323-350 National Bureau of Economic Research, Inc.
  41. Cremer, Helmuth & Gahvari, Firouz & Pestieau, Pierre, 2004. "Pensions with Heterogenous Individuals and Endogenous Fertility," IDEI Working Papers 313, Institut d'Économie Industrielle (IDEI), Toulouse.
  42. Tamura, Robert, 2006. "Human capital and economic development," Journal of Development Economics, Elsevier, vol. 79(1), pages 26-72, February.
  43. Ehrlich, Isaac & Lui, Francis T, 1991. "Intergenerational Trade, Longevity, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1029-59, October.
  44. Razin, Assaf & Ben-Zion, Uri, 1975. "An Intergenerational Model of Population Growth," American Economic Review, American Economic Association, vol. 65(5), pages 923-33, December.
  45. Solon, Gary, 1999. "Intergenerational mobility in the labor market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 29, pages 1761-1800 Elsevier.
  46. Kamihigashi, Takashi, 2001. "Necessity of Transversality Conditions for Infinite Horizon Problems," Econometrica, Econometric Society, vol. 69(4), pages 995-1012, July.
  47. Gerhard Glomm & Michael Kaganovich, 2003. "Distributional Effects of Public Education in an Economy with Public Pensions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 917-937, 08.
  48. Li, Hongbin & Zhang, Junsen & Zhu, Yi, 2007. "The Quantity-Quality Tradeoff of Children in a Developing Country: Identification Using Chinese Twins," IZA Discussion Papers 3012, Institute for the Study of Labor (IZA).
  49. Sanchez-Losada, Fernando, 2000. "Growth effects of an unfunded social security system when there is altruism and human capital," Economics Letters, Elsevier, vol. 69(1), pages 95-99, October.
  50. Eric A. Hanushek, 1998. "Conclusions and controversies about the effectiveness of school resources," Economic Policy Review, Federal Reserve Bank of New York, issue Mar, pages 11-27.
  51. Zhang, Jie & Casagrande, Richard, 1998. "Fertility, growth, and flat-rate taxation for education subsidies," Economics Letters, Elsevier, vol. 60(2), pages 209-216, August.
  52. Lord, William & Rangazas, Peter, 1991. "Savings and Wealth in Models with Altruistic Bequests," American Economic Review, American Economic Association, vol. 81(1), pages 289-96, March.
  53. C. Simon Fan & Oded Stark, 2008. "Looking At The "Population Problem" Through The Prism Of Heterogeneity: Welfare And Policy Analyses," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(3), pages 799-835, 08.
  54. Becker, Gary S & Lewis, H Gregg, 1973. "On the Interaction between the Quantity and Quality of Children," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages S279-88, Part II, .
  55. Rowena A. Pecchenino & Patricia S. Pollard, 2000. "Dependent children and aged parents: funding education and social security in an aging economy," Working Papers 1995-001, Federal Reserve Bank of St. Louis.
  56. Nils-Petter Lagerlöf, 2003. "From Malthus to Modern Growth: Can Epidemics Explain the Three Regimes?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 755-777, 05.
  57. Tamura, Robert, 2002. "Human capital and the switch from agriculture to industry," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 207-242, December.
  58. Yew, Siew Ling & Zhang, Jie, 2009. "Optimal social security in a dynastic model with human capital externalities, fertility and endogenous growth," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 605-619, April.
  59. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
  60. Tomes, Nigel, 1981. "The Family, Inheritance, and the Intergenerational Transmission of Inequality," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 928-58, October.
  61. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
  62. Tamura, R., 1991. "Efficient Equilibrium Convergence : Heterogeneity and Growth," Working Papers 91-16, University of Iowa, Department of Economics.
  63. Jere R. Behrman & Mark R. Rosenzweig, 2002. "Does Increasing Women's Schooling Raise the Schooling of the Next Generation?," American Economic Review, American Economic Association, vol. 92(1), pages 323-334, March.
  64. Cigno, Alessandro & Rosati, Furio Camillo, 1992. "The Effects of Financial Markets and Social Security on Saving and Fertility Behaviour in Italy," Journal of Population Economics, Springer, vol. 5(4), pages 319-41.
  65. Hansson, Ingemar & Stuart, Charles, 1989. "Social Security as Trade among Living Generations," American Economic Review, American Economic Association, vol. 79(5), pages 1182-95, December.
  66. Enrico Moretti, 2002. "Estimating the Social Return to Higher Education: Evidence From Longitudinal and Repeated Cross-Sectional Data," NBER Working Papers 9108, National Bureau of Economic Research, Inc.
  67. James E. Rauch, 1991. "Productivity Gains From Geographic Concentration of human Capital: Evidence From the Cities," NBER Working Papers 3905, National Bureau of Economic Research, Inc.
  68. Kenneth A. Couch & Thomas A. Dunn, 1997. "Intergenerational Correlations in Labor Market Status: A Comparison of the United States and Germany," Journal of Human Resources, University of Wisconsin Press, vol. 32(1), pages 210-232.
  69. Raut, Lakshmi K. & Tran, Lien H., 2005. "Parental human capital investment and old-age transfers from children: Is it a loan contract or reciprocity for Indonesian families?," Journal of Development Economics, Elsevier, vol. 77(2), pages 389-414, August.
  70. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  71. Glomm, Gerhard & Ravikumar, B, 1992. "Public versus Private Investment in Human Capital Endogenous Growth and Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 818-34, August.
  72. Robert Tamura, 2001. "Teachers, Growth, and Convergence," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1021-1059, October.
  73. Zhang, Jie, 1996. " Optimal Public Investments in Education and Endogenous Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(3), pages 387-404.
  74. Hubbard, R Glenn & Judd, Kenneth L, 1987. "Social Security and Individual Welfare: Precautionary Saving, Borrowing Constraints, and the Payroll Tax," American Economic Review, American Economic Association, vol. 77(4), pages 630-46, September.
  75. Jie Zhang & Junsen Zhang, 2004. "How does social security affect economic growth? Evidence from cross-country data," Journal of Population Economics, Springer, vol. 17(3), pages 473-500, 08.
  76. Hanushek, Eric A, 1992. "The Trade-Off between Child Quantity and Quality," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 84-117, February.
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