IDEAS home Printed from https://ideas.repec.org/p/unm/unumer/2018001.html
   My bibliography  Save this paper

The serendipity theorem for an endogenous open economy growth model

Author

Listed:
  • Ziesemer, Thomas

    (UNU-MERIT, and SBE, Maastricht University)

Abstract

A Samuelsonian serendipity theorem for an endogenous growth model is derived. The formula for optimal population growth rate deviates from those of the model with exogenous population growth rates in a third best endogenous growth model of the Lucas type with imperfect international capital movements and human capital externalities. Calibration shows that the effect of variation of the exogenous population growth rates on other variables and the deviation of population growth rates from its optimal value are small. The reason is that labour supply, interest rates and technical change are endogenous. There is not much of an incentive for population growth policy unless Frisch parameters change with ageing.

Suggested Citation

  • Ziesemer, Thomas, 2018. "The serendipity theorem for an endogenous open economy growth model," MERIT Working Papers 2018-001, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    • Handle: RePEc:unm:unumer:2018001
    as

    Download full text from publisher

    File URL: https://www.merit.unu.edu/publications/wppdf/2018/wp2018-001.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dedry, Antoine & Onder, Harun & Pestieau, Pierre, 2017. "Aging, social security design, and capital accumulation," The Journal of the Economics of Ageing, Elsevier, vol. 9(C), pages 145-155.
    2. Klaus Jaeger & Wolfgang Kuhle, 2009. "The optimum growth rate for population reconsidered," Journal of Population Economics, Springer;European Society for Population Economics, vol. 22(1), pages 23-41, January.
    3. von Gaessler, Anne Edle & Ziesemer, Thomas, 2016. "Optimal education in times of ageing: The dependency ratio in the Uzawa–Lucas growth model," The Journal of the Economics of Ageing, Elsevier, vol. 7(C), pages 125-142.
    4. Raouf Boucekkine & Blanca Martínez & J. Ramon Ruiz-Tamarit, 2018. "Optimal Population Growth as an Endogenous Discounting Problem: The Ramsey Case," Lecture Notes in Economics and Mathematical Systems, in: Gustav Feichtinger & Raimund M. Kovacevic & Gernot Tragler (ed.), Control Systems and Mathematical Methods in Economics, pages 321-347, Springer.
    5. Joan Muysken & Thomas Ziesemer, 2014. "The Effect of Immigration on Economic Growth in an Ageing Economy," Bulletin of Applied Economics, Risk Market Journals, vol. 1(1), pages 35-63.
    6. David Croix & Pierre Pestieau & Grégory Ponthière, 2012. "How powerful is demography? The Serendipity Theorem revisited," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 899-922, July.
    7. 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.
    8. Michel, Philippe & Pestieau, P, 1993. "Population Growth and Optimality: When Does Serendipity Hold?," Journal of Population Economics, Springer;European Society for Population Economics, vol. 6(4), pages 353-362, November.
    9. Gemma Abio, 2003. "Interiority of the optimal population growth rate with endogenous fertility," Economics Bulletin, AccessEcon, vol. 10(4), pages 1-7.
    10. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    11. Stefan Felder, 2016. "“How powerful is demography? The serendipity theorem revisited” comment on De la Croix et al. (2012)," Journal of Population Economics, Springer;European Society for Population Economics, vol. 29(3), pages 957-967, July.
    12. Thomas Ziesemer & Anne von Gässler, 2021. "Ageing, human capital and demographic dividends with endogenous growth, labour supply and foreign capital," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 20(2), pages 129-160, May.
    13. repec:ebl:ecbull:v:10:y:2003:i:4:p:1-7 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Spinola, Danilo, 2023. "Instability constraints and development traps: an empirical analysis of growth cycles and economic volatility in Latin America," Revista CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), April.
    2. Kuss, Maria Klara & Gassmann, Franziska & Mugumya, Firminus, 2018. "The relevance of local structures for economic multiplier effects of social pensions in Uganda," MERIT Working Papers 2018-004, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Thomas Ziesemer & Anne von Gässler, 2021. "Ageing, human capital and demographic dividends with endogenous growth, labour supply and foreign capital," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 20(2), pages 129-160, May.
    2. Momota, Akira & Sakagami, Tomoya & Shibata, Akihisa, 2019. "Reexamination of the Serendipity Theorem from the stability viewpoint," Journal of Demographic Economics, Cambridge University Press, vol. 85(1), pages 43-70, March.
    3. Pierre Pestieau & Gregory Ponthiere, 2014. "Optimal fertility along the life cycle," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 185-224, January.
    4. Stefan Felder, 2016. "“How powerful is demography? The serendipity theorem revisited” comment on De la Croix et al. (2012)," Journal of Population Economics, Springer;European Society for Population Economics, vol. 29(3), pages 957-967, July.
    5. 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.
    6. David Croix & Pierre Pestieau & Grégory Ponthière, 2012. "How powerful is demography? The Serendipity Theorem revisited," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 899-922, July.
    7. Gregory Ponthiere, 2013. "Fair Accumulation under Risky Lifetime," Scottish Journal of Political Economy, Scottish Economic Society, vol. 60(2), pages 210-230, May.
    8. Luciano Fanti & Luca Gori, 2010. "Family Policies And The Optimal Population Growth Rate: Closed And Small Open Economies," Metroeconomica, Wiley Blackwell, vol. 61(1), pages 96-123, February.
    9. Momota, Akira, 2016. "Intensive and extensive margins of fertility, capital accumulation, and economic welfare," Journal of Public Economics, Elsevier, vol. 133(C), pages 90-110.
    10. Pérez-Nievas, Mikel & Conde-Ruiz, José I. & Giménez, Eduardo L., 2019. "Efficiency and endogenous fertility," Theoretical Economics, Econometric Society, vol. 14(2), May.
    11. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    12. Kuhle, Wolfgang, 2012. "Dynamic efficiency and the two-part golden rule with heterogeneous agents," Journal of Macroeconomics, Elsevier, vol. 34(4), pages 992-1006.
    13. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
    14. Ludwig, Alexander & Schelkle, Thomas & Vogel, Edgar, 2007. "Demographic change, human capital and endogenous growth," Papers 08-43, Sonderforschungsbreich 504.
    15. Stelter, Robert, 2016. "Over-aging — Are present-day human populations too old?," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 116-143.
    16. Stelter, Robert, 2014. "Over-aging: Are present human populations too old?," Thuenen-Series of Applied Economic Theory 137, University of Rostock, Institute of Economics.
    17. J. Ignacio Conde-Ruiz & Eduardo L. Giménez & Mikel Pérez-Nievas, 2010. "Millian Efficiency with Endogenous Fertility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 154-187.
    18. Thomas Baudin, 2011. "Family Policies: What Does the Standard Endogenous Fertility Model Tell Us?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(4), pages 555-593, August.
    19. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
    20. Peter J. Stauvermann & Ronald R. Kumar, 2016. "Sustainability of A Pay-as-you-Go Pension System in A Small Open Economy with Ageing, Human Capital and Endogenous Fertility," Metroeconomica, Wiley Blackwell, vol. 67(1), pages 2-20, February.

    More about this item

    Keywords

    Open economy; endogenous growth; human capital; serendipity theorem; ageing;
    All these keywords.

    JEL classification:

    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies
    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:unm:unumer:2018001. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ad Notten (email available below). General contact details of provider: https://edirc.repec.org/data/meritnl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.