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Optimal education and pensions in an endogenous growth model

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  • DEL REY, Elena

    (Universitat de Girona, Spain)

  • LOPEZ-GARCIA, Miguel

    (Universitat Autonoma de Barcelona, Spain)

Abstract

It is well known that, in OLG economies with life-cycle saving and exogenous growth, competitive equilibria will in general fail to achieve optimality and may even be dynamically inefficient. This is a consequence of individuals accumulating amounts of physical capital that differ from the level which would maximize welfare along a balanced growth path (the Golden Rule). With human capital, a second potential source of departure from optimality arises, to wit: individuals may not choose the correct amount of education investment. However, the Golden Rule concept, widely used in exogenous growth frameworks, has not found its way into endogenous growth models. In this paper, we propose to recover the Golden Rule of physical and also human capital accumulation. The optimal policy to decentralize the Golden Rule balanced growth path when there are no constraints for individuals to finance their education investments is also characterized. It is shown that it involves positive pensions and negative education subsidies (i.e., taxes)

Suggested Citation

  • DEL REY, Elena & LOPEZ-GARCIA, Miguel, 2009. "Optimal education and pensions in an endogenous growth model," LIDAM Discussion Papers CORE 2009079, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2009079
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    References listed on IDEAS

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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Docquier, Frederic & Paddison, Oliver & Pestieau, Pierre, 2007. "Optimal accumulation in an endogenous growth setting with human capital," Journal of Economic Theory, Elsevier, vol. 134(1), pages 361-378, May.
    3. Michele Boldrin & Ana Montes, 2005. "The Intergenerational State Education and Pensions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 651-664.
    4. Caballe, Jordi, 1995. "Endogenous Growth, Human Capital, and Bequests in a Life-Cycle Model," Oxford Economic Papers, Oxford University Press, vol. 47(1), pages 156-181, January.
    5. 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(6), pages 467-467.
    6. Elena Del Rey & Miguel-Angel Lopez-Garcia, 2012. "On Welfare Criteria and Optimality in an Endogenous Growth Model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(6), pages 927-943, December.
    7. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    8. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    9. Samuelson, Paul A, 1975. "Optimum Social Security in a Life-Cycle Growth Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 539-544, October.
    10. Costas Azariadis & Allan Drazen, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 501-526.
    11. Samuelson, Paul A, 1975. "The Optimum Growth Rate for Population," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 531-538, October.
    12. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Optimal education and pensions in an endogenous growth model
      by Christian Zimmermann in NEP-DGE blog on 2010-03-29 23:22:20

    Citations

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    Cited by:

    1. Pierre Pestieau & Gregory Ponthiere, 2017. "Optimal fertility under age-dependent labour productivity," Journal of Population Economics, Springer;European Society for Population Economics, vol. 30(2), pages 621-646, April.
    2. Koichi Miyazaki, 2023. "Comparison of Educational Subsidy Schemes in an Endogenous Growth Model," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 79(1), pages 32-63.
    3. George Economides & Hyun Park & Apostolis Philippopoulos & Stelios Sakkas, 2015. "On the Composition of Public Spending and Taxes," CESifo Working Paper Series 5510, CESifo.
    4. Sylwia Radomska, 2019. "Optimal Policy for Investment in Human Capital in the Light of Optimal Tax Theory (Inwestycje w kapital ludzki w swietle optymalnej teorii podatkowej)," Research Reports, University of Warsaw, Faculty of Management, vol. 1(30), pages 34-42.
    5. Julio Dávila, 2018. "Internalizing fertility and education externalities on capital returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 343-373, August.
    6. Torben Andersen & Joydeep Bhattacharya, 2020. "Intergenerational Debt Dynamics Without Tears," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 35, pages 192-219, January.
    7. Zeng, Jinli & Zhang, Jie, 2022. "Education policies and development with threshold human capital externalities," Economic Modelling, Elsevier, vol. 108(C).
    8. Simon Fan & Yu Pang & Pierre Pestieau, 2020. "A model of the optimal allocation of government expenditures," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(4), pages 845-876, August.
    9. Del Rey, Elena & Lopez-Garcia, Miguel-Angel, 2019. "Public education, intergenerational transfers, and fertility," Economics Letters, Elsevier, vol. 179(C), pages 78-82.
    10. Michael Hatcher & Panayiotis M. Pourpourides, 2023. "Does the impact of private education on growth differ at different levels of credit market development?," Review of Development Economics, Wiley Blackwell, vol. 27(1), pages 291-322, February.
    11. Elena Rey & Miguel-Angel Lopez-Garcia, 2019. "Optimal public policy à la Ramsey in an endogenous growth model," Journal of Economics, Springer, vol. 128(2), pages 99-118, October.
    12. Del Rey, Elena & Lopez-Garcia, Miguel-Angel, 2020. "On government-created credit markets for education and endogenous growth," Economic Modelling, Elsevier, vol. 92(C), pages 170-179.
    13. George Economides & Apostolis Philippopoulos & Stylianos Sakkas, 2021. "Redistributive policies in general equilibrium," JRC Working Papers on Territorial Modelling and Analysis 2021-08, Joint Research Centre.
    14. Del Rey, Elena & Lopez-Garcia, Miguel-Angel, 2016. "Endogenous growth and welfare effects of education subsidies and intergenerational transfers," Economic Modelling, Elsevier, vol. 52(PB), pages 531-539.

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    More about this item

    Keywords

    endogenous growth; human capital; intergenerational transfers; education policy;
    All these keywords.

    JEL classification:

    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H52 - Public Economics - - National Government Expenditures and Related Policies - - - Government Expenditures and Education
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

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