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Public Education and Capital Accumulation

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Author Info
Michele Boldrin

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Abstract

I study an overlapping generations model where physical and human capitals are used in production and can be accumulated by withholding resources from current consumption. Human capital is accumulated through a schooling system which can be finance either by private expenditures or by taxes on current income or by a combination of both. IN a political equilibrium with majority voting, the median voter may approve of public school financing as an instrument to solve a "free rider problem". It improves the skills of next period's workers which in turn increases the expected return on capital, something which could not be achieved by means of private school financing. Public schools, moreover, turns out to be an instrument for intergenerational income distribution so that they may be preferred to private schools for this motive as well. The model is shown to display a poverty trap (poor societies vote to invest too little in education) as well as persistent growth. I am able to fully characterize the global dynamics of the model, which delivers a number of interesting and potentially testable hypotheses on the relation between income growth , capital accumulation and the development of public education I also endogenize the dynamic behavior of school attendance rates, as well as the choice between public and private financing of schools in the presence of parental altruism. A particular attention is paid to the different performances of a publicly provided school system vis-a-vis a publicly financed school system. It is shown that, under very general conditions, the latter tends to create a better environment for the accumulation of human capital as it fosters support for public education trough the voting mechanism. All through the paper I concentrate on specific functional forms that allow for a closed form solution of the equilibrium dynamics, but all the important results can be shown to apply for a general class of utility and produciton functions.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1017.

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Date of creation: Nov 1992
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Handle: RePEc:nwu:cmsems:1017

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Michele Boldrin & Ana Montes, 2005. "The Intergenerational State Education and Pensions," Review of Economic Studies, Blackwell Publishing, vol. 72(3), pages 651-664, 07. [Downloadable!] (restricted)
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  2. Psacharopoulos, George, 1989. "Time trends of the returns to education: Cross-national evidence," Economics of Education Review, Elsevier, vol. 8(3), pages 225-231, June. [Downloadable!] (restricted)
  3. Michele Boldrin, 1991. "Threshold Externalities and Economic Development: A Note," Discussion Papers 953, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  4. Lorenzo Forni, 2005. "Social Security as Markov Equilibrium in OLG Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(1), pages 178-194, January. [Downloadable!] (restricted)
  5. Chamley, Christophe, 1993. "Externalities and Dynamics in Models of "Learning or Doing."," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(3), pages 583-609, August. [Downloadable!] (restricted)
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  6. 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 813-34, August.
  7. Michele Boldrin & Larry E. Jones & Aubhik Khan, 2005. "Three Equations Generating an Industrial Revolution?," Levine's Bibliography 784828000000000385, UCLA Department of Economics. [Downloadable!]
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  8. Peltzman, Sam, 1973. "The Effect of Government Subsidies-in-Kind on Private Expenditures: The Case of Higher Education," Journal of Political Economy, University of Chicago Press, vol. 81(1), pages 1-27, Jan.-Feb.. [Downloadable!] (restricted)
  9. Boldrin, Michele, 1992. "Dynamic externalities, multiple equilibria, and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 198-218, December. [Downloadable!] (restricted)
  10. Jones, Larry E. & Manuelli, Rodolfo E., 1992. "Finite lifetimes and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 171-197, December. [Downloadable!] (restricted)
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  11. Chari, V V & Kehoe, Patrick J, 1990. "Sustainable Plans," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 783-802, August. [Downloadable!] (restricted)
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  12. Zvi Eckstein & Itzhak Zilcha, 1991. "The Effects of Compulsory Schooling on Growth, Income Distribution and Welfare," Boston University - Institute for Economic Development 20, Boston University, Institute for Economic Development.
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  13. Michele Boldrin & Aldo Rustichini, 2000. "Political Equilibria with Social Security," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(1), pages 41-78, January. [Downloadable!] (restricted)
  14. Fernandez, R. & Rogerson, R., 1992. "Income Distribution, Communities and the Quality of Public Education: A Policy Analysis," Papers 1, Boston University - Department of Economics.
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  15. 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. [Downloadable!] (restricted)
  16. Harris, Christopher J, 1985. "Existence and Characterization of Perfect Equilibrium in Games of Perfect Information," Econometrica, Econometric Society, vol. 53(3), pages 613-28, May. [Downloadable!] (restricted)
  17. Saint-Paul, G. & Verdier, T., 1991. "Education, Democracy and growth," DELTA Working Papers 91-27, DELTA (Ecole normale supérieure).
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  18. Robert E. Lucas, Jr., 1989. "On the Mechanics of Economic Development," NBER Reprints 1176, National Bureau of Economic Research, Inc.
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  19. West, Edwin G., 1991. "Public schools and excess burdens," Economics of Education Review, Elsevier, vol. 10(2), pages 159-169, June. [Downloadable!] (restricted)
  20. Caballe, Jordi & Santos, Manuel S, 1993. "On Endogenous Growth with Physical and Human Capital," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1042-67, December. [Downloadable!] (restricted)
  21. Michele Boldrin & Larry E. Jones, 2002. "Mortality, Fertility, and Saving in a Malthusian Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 775-814, October. [Downloadable!] (restricted)
  22. Stiglitz, J. E., 1974. "The demand for education in public and private school systems," Journal of Public Economics, Elsevier, vol. 3(4), pages 349-385, November. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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. [Downloadable!]
    Other versions:
  2. Osang, Thomas & Sarkar, Jayanta, 2005. "Endogenous Mortality, Human Capital and Endogenous Growth," Departmental Working Papers 0511, Southern Methodist University, Department of Economics. [Downloadable!]
  3. Boldrin, Michele & Montes, Ana, 2002. "The Intergenerational State: Education and Pensions," CEPR Discussion Papers 3275, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  4. Ferreira, Pedro Cavalcanti Gomes, 1998. "Inflationary Financing of Public Investment and Economic Growth," Economics Working Papers (Ensaios Economicos da EPGE) 322, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
  5. Giorgio Bellettini & Carlotta Berti Ceroni, 1999. "Is Social Security Really Bad for Growth?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(4), pages 796-819, October. [Downloadable!] (restricted)
    Other versions:
  6. Rowena A. Pecchenino & Patricia S. Pollard, 2003. "Aging, myopia and the pay-as-you-go public pension systems of the G7: a bright future?," Working Papers 2000-015, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  7. Hoxby, Caroline Minter, 1996. "Are Efficiency and Equity in School Finance Substitutes or Complements?," Journal of Economic Perspectives, American Economic Association, vol. 10(4), pages 51-72, Fall. [Downloadable!] (restricted)
  8. Panu Poutvaara, 2002. "Gerontocracy Revisited: Unilateral Transfer to the Young May Benefit the Middle-aged," VATT Discussion Papers 275, Government Institute for Economic Research (VATT). [Downloadable!]
    Other versions:
  9. Ferreira, Pedro Cavalcanti Gomes, 2001. "Inflation, Welfare and Public Expenditures," Economics Working Papers (Ensaios Economicos da EPGE) 431, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
  10. Jorge Soares, . "Altruism and Self-interest in a Political Economy of Public Education," Working Papers 130, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University. [Downloadable!]
  11. Ryuichi Tanaka, 2004. "On the Costs and Benefits of a Mixed Educational Regime," Econometric Society 2004 Far Eastern Meetings 470, Econometric Society. [Downloadable!]
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