IDEAS home Printed from https://ideas.repec.org/a/spr/jopoec/v26y2013i1p181-202.html
   My bibliography  Save this article

Endogenous fertility and human capital in a Schumpeterian growth model

Author

Listed:
  • Angus Chu
  • Guido Cozzi
  • Chih-Hsing Liao

Abstract

This study develops a scale-invariant Schumpeterian growth model with endogenous fertility and human capital accumulation. The model features two engines of long-run economic growth: R&D-based innovation and human capital accumulation. One novelty of this study is endogenous fertility, which negatively affects the growth rate of human capital. Given this growth-theoretic framework, we characterize the dynamics of the model and derive comparative statics of the equilibrium growth rates with respect to structural parameters. As for policy implications, we analyze how patent policy affects economic growth through technological progress, human capital accumulation, and endogenous fertility. In summary, we find that strengthening patent protection has (a) a positive effect on technological progress, (b) a negative effect on human capital accumulation through a higher rate of fertility, and (c) an ambiguous overall effect on economic growth. Copyright Springer-Verlag 2013

Suggested Citation

  • Angus Chu & Guido Cozzi & Chih-Hsing Liao, 2013. "Endogenous fertility and human capital in a Schumpeterian growth model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(1), pages 181-202, January.
    • Handle: RePEc:spr:jopoec:v:26:y:2013:i:1:p:181-202
    DOI: 10.1007/s00148-012-0433-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00148-012-0433-9
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00148-012-0433-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Stokey, Nancy L & Rebelo, Sergio, 1995. "Growth Effects of Flat-Rate Taxes," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 519-550, June.
    2. Oded Galor & Omer Moav, 2000. "Natural Selection and the Origin of economic Growth," Working Papers 2000-18, Brown University, Department of Economics.
    3. Alessandra Fogli & Raquel Fernandez, 2009. "Culture: An Empirical Investigation of Beliefs, Work, and Fertility," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(1), pages 146-177, January.
    4. Cozzi, Guido & Giordani, Paolo E. & Zamparelli, Luca, 2007. "The refoundation of the symmetric equilibrium in Schumpeterian growth models," Journal of Economic Theory, Elsevier, vol. 136(1), pages 788-797, September.
    5. Cozzi, Guido, 2001. "Inventing or Spying? Implications for Growth," Journal of Economic Growth, Springer, vol. 6(1), pages 55-77, March.
    6. Furukawa, Yuichi, 2007. "The protection of intellectual property rights and endogenous growth: Is stronger always better?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3644-3670, November.
    7. Quamrul Ashraf & Oded Galor, 2011. "Cultural Diversity, Geographical Isolation, and the Origin of the Wealth of Nations," Working Papers 2011-16, Brown University, Department of Economics.
    8. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    9. Ryo Horii & Tatsuro Iwaisako, 2007. "Economic Growth with Imperfect Protection of Intellectual Property Rights," Journal of Economics, Springer, vol. 90(1), pages 45-85, January.
    10. Guido Tabellini, 2010. "Culture and Institutions: Economic Development in the Regions of Europe," Journal of the European Economic Association, European Economic Association, vol. 8(4), pages 677-716, June.
    11. Galor, Oded & Ashraf, Quamrul, 2007. "Cultural Assimilation, Cultural Diffusion and the Origin of the Wealth of Nations," CEPR Discussion Papers 6444, C.E.P.R. Discussion Papers.
    12. Charles I. Jones, 1999. "Growth: With or Without Scale Effects?," American Economic Review, American Economic Association, vol. 89(2), pages 139-144, May.
    13. Alwyn Young, 1998. "Growth without Scale Effects," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 41-63, February.
    14. Jones, Charles I & Williams, John C, 2000. "Too Much of a Good Thing? The Economics of Investment in R&D," Journal of Economic Growth, Springer, vol. 5(1), pages 65-85, March.
    15. Jones Charles I., 2001. "Was an Industrial Revolution Inevitable? Economic Growth Over the Very Long Run," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(2), pages 1-45, August.
    16. Alberto Alesina & Paola Giuliano, 2010. "The power of the family," Journal of Economic Growth, Springer, vol. 15(2), pages 93-125, June.
    17. Razin, Assaf & Ben-Zion, Uri, 1975. "An Intergenerational Model of Population Growth," American Economic Review, American Economic Association, vol. 65(5), pages 923-933, December.
    18. Boldrin,Michele & Levine,David K., 2010. "Against Intellectual Monopoly," Cambridge Books, Cambridge University Press, number 9780521127264.
    19. 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.
    20. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 43-61.
    21. Christopher Laincz & Pietro Peretto, 2006. "Scale effects in endogenous growth theory: an error of aggregation not specification," Journal of Economic Growth, Springer, vol. 11(3), pages 263-288, September.
    22. Growiec Jakub, 2006. "Fertility Choice and Semi-Endogenous Growth: Where Becker Meets Jones," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(2), pages 1-25, September.
    23. Chu Angus C, 2007. "Confidence-Enhanced Economic Growth," The B.E. Journal of Macroeconomics, De Gruyter, vol. 7(1), pages 1-20, July.
    24. Chu, Angus C. & Cozzi, Guido & Galli, Silvia, 2012. "Does intellectual monopoly stimulate or stifle innovation?," European Economic Review, Elsevier, vol. 56(4), pages 727-746.
    25. Connolly, Michelle & Peretto, Pietro F, 2003. "Industry and the Family: Two Engines of Growth," Journal of Economic Growth, Springer, vol. 8(1), pages 115-148, March.
    26. Chu, Angus C., 2011. "The welfare cost of one-size-fits-all patent protection," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 876-890, June.
    27. Segerstrom, Paul S, 1998. "Endogenous Growth without Scale Effects," American Economic Review, American Economic Association, vol. 88(5), pages 1290-1310, December.
    28. Angus Chu & Guido Cozzi & Chih-Hsing Liao, 2013. "Endogenous fertility and human capital in a Schumpeterian growth model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(1), pages 181-202, January.
    29. John Laitner & Dmitriy Stolyarov, 2013. "Derivative Ideas And The Value Of Intangible Assets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(1), pages 59-95, February.
    30. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    31. Oded Galor & Omer Moav, 2002. "Natural Selection and the Origin of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1133-1191.
    32. Horowitz, Andrew W & Lai, Edwin L-C, 1996. "Patent Length and the Rate of Innovation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 785-801, November.
    33. Furukawa, Yuichi, 2010. "Intellectual property protection and innovation: an inverted-U relationship," Economics Letters, Elsevier, vol. 109(2), pages 99-101, November.
    34. Peretto, Pietro F, 1998. "Technological Change and Population Growth," Journal of Economic Growth, Springer, vol. 3(4), pages 283-311, December.
    35. Tatsuro Iwaisako & Koichi Futagami, 2003. "Patent Policy in an Endogenous Growth Model," Journal of Economics, Springer, vol. 78(3), pages 239-258, March.
    36. Peretto, Pietro F., 1999. "Cost reduction, entry, and the interdependence of market structure and economic growth," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 173-195, February.
    37. Kwan, Yum K. & Lai, Edwin L. -C., 2003. "Intellectual property rights protection and endogenous economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 27(5), pages 853-873, March.
    38. Li, Chol-Won, 2001. "On the Policy Implications of Endogenous Technological Progress," Economic Journal, Royal Economic Society, vol. 111(471), pages 164-179, May.
    39. Angus Chu, 2009. "Effects of blocking patents on R&D: a quantitative DGE analysis," Journal of Economic Growth, Springer, vol. 14(1), pages 55-78, March.
    40. Joonkyung Ha & Peter Howitt, 2007. "Accounting for Trends in Productivity and R&D: A Schumpeterian Critique of Semi-Endogenous Growth Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(4), pages 733-774, June.
    41. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
    42. Cysne, Rubens P. & Turchick, David, 2012. "Intellectual property rights protection and endogenous economic growth revisited," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 851-861.
    43. Ted O'Donoghue & Josef Zweimueller, 2004. "Patents in a Model of Endogenous Growth," Journal of Economic Growth, Springer, vol. 9(1), pages 81-123, March.
    44. Richard Gilbert & Carl Shapiro, 1990. "Optimal Patent Length and Breadth," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 106-112, Spring.
    45. Davis, Lewis S. & Şener, Fuat, 2012. "Private patent protection in the theory of Schumpeterian growth," European Economic Review, Elsevier, vol. 56(7), pages 1446-1460.
    46. Holger Strulik, 2005. "The Role of Human Capital and Population Growth in R&D‐based Models of Economic Growth," Review of International Economics, Wiley Blackwell, vol. 13(1), pages 129-145, February.
    47. Cozzi Guido, 2007. "The Arrow Effect under Competitive R&D," The B.E. Journal of Macroeconomics, De Gruyter, vol. 7(1), pages 1-20, January.
    48. Chong K. Yip & Junxi Zhang, 1997. "A simple endogenous growth model with endogenous fertility: Indeterminacy and uniqueness," Journal of Population Economics, Springer;European Society for Population Economics, vol. 10(1), pages 97-110.
    49. Dinopoulos, Elias & Thompson, Peter, 1998. "Schumpeterian Growth without Scale Effects," Journal of Economic Growth, Springer, vol. 3(4), pages 313-335, December.
    50. Cozzi, Guido & Spinesi, Luca, 2006. "Intellectual Appropriability, Product Differentiation, And Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 10(1), pages 39-55, February.
    51. Judd, Kenneth L, 1985. "On the Performance of Patents," Econometrica, Econometric Society, vol. 53(3), pages 567-585, May.
    52. Futagami, Koichi & Iwaisako, Tatsuro, 2007. "Dynamic analysis of patent policy in an endogenous growth model," Journal of Economic Theory, Elsevier, vol. 132(1), pages 306-334, January.
    53. Elias Dinopoulos & Constantinos Syropoulos, 2007. "Rent Protection as a Barrier to Innovation and Growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 309-332, August.
    Full references (including those not matched with items on IDEAS)

    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. Chu, Angus C. & Furukawa, Yuichi, 2011. "On the optimal mix of patent instruments," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1964-1975.
    2. Chu, Angus C. & Cozzi, Guido & Galli, Silvia, 2012. "Does intellectual monopoly stimulate or stifle innovation?," European Economic Review, Elsevier, vol. 56(4), pages 727-746.
    3. Angus C. Chu & Yuichi Furukawa & Lei Ji, 2016. "Patents, R&D subsidies, and endogenous market structure in a schumpeterian economy," Southern Economic Journal, John Wiley & Sons, vol. 82(3), pages 809-825, January.
    4. Chu, Angus C. & Leung, Charles K.Y. & Tang, Edward, 2012. "Intellectual property rights, technical progress and the volatility of economic growth," Journal of Macroeconomics, Elsevier, vol. 34(3), pages 749-756.
    5. Angus C. Chu, 2022. "Patent policy and economic growth: A survey," Manchester School, University of Manchester, vol. 90(2), pages 237-254, March.
    6. Hu, Mei-Ying & Lu, You-Xun & Lai, Ching-chong, 2023. "Patent term extensions and commercialization lags in the pharmaceutical industry: A growth-theoretic analysis," Journal of Macroeconomics, Elsevier, vol. 76(C).
    7. Guido Cozzi & Silvia Galli, 2014. "Sequential R&D and blocking patents in the dynamics of growth," Journal of Economic Growth, Springer, vol. 19(2), pages 183-219, June.
    8. Angus C. Chu & Yuichi Furukawa, 2013. "Patentability and Knowledge Spillovers of Basic R&D," Southern Economic Journal, John Wiley & Sons, vol. 79(4), pages 928-945, April.
    9. Elie Gray & André Grimaud, 2014. "The Lindahl Equilibrium in Schumpeterian Growth Models: Knowledge Diffusion, Social Value of Innovations and Optimal R&D Incentives," CESifo Working Paper Series 4678, CESifo.
    10. Guido Cozzi & Silvia Galli, 2009. "Upstream Innovation Protection: Common Law Evolution and the Dynamics of Wage Inequality," Working Papers 2009_20, Business School - Economics, University of Glasgow.
    11. Angus C. Chu & Yuichi Furukawa & Sushanta Mallick & Pietro Peretto & Xilin Wang, 2021. "Dynamic effects of patent policy on innovation and inequality in a Schumpeterian economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1429-1465, June.
    12. Gray, Elie & Grimaud, André, 2014. "The Lindahl equilibrium in Schumpeterian growth models: Knowledge diffusion, social value of innovations and optimal R&D incentives," TSE Working Papers 14-469, Toulouse School of Economics (TSE).
    13. Elie Gray & André Grimaud, 2016. "The Lindahl equilibrium in Schumpeterian growth models," Journal of Evolutionary Economics, Springer, vol. 26(1), pages 101-142, March.
    14. Chu, Angus C. & Furukawa, Yuichi, 2011. "Growth and Welfare Effects of Patentability and Knowledge Spillovers of Basic R&D," MPRA Paper 27813, University Library of Munich, Germany.
    15. Gray, Elie & Grimaud, André, 2014. "The Lindahl equilibrium in Schumpeterian growth models: Knowledge diffusion, social value of innovations and optimal R&D incentives," IDEI Working Papers 821, Institut d'Économie Industrielle (IDEI), Toulouse.
    16. Chu, Angus C. & Furukawa, Yuichi, 2012. "Patents versus R&D subsidies in a Schumpeterian growth model with endogenous market structure," MPRA Paper 40469, University Library of Munich, Germany.
    17. Holger Strulik & Klaus Prettner & Alexia Prskawetz, 2013. "The past and future of knowledge-based growth," Journal of Economic Growth, Springer, vol. 18(4), pages 411-437, December.
    18. Chu, Angus C. & Cozzi, Guido & Galli, Silvia, 2014. "Stage-dependent intellectual property rights," Journal of Development Economics, Elsevier, vol. 106(C), pages 239-249.
    19. Angus Chu & Guido Cozzi, 2018. "Effects of Patents versus R&D subsidies on Income Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 68-84, July.
    20. Chu, Angus C. & Pan, Shiyuan, 2013. "The Escape-Infringement Effect Of Blocking Patents On Innovation And Economic Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 955-969, June.

    More about this item

    Keywords

    Economic growth; Endogenous fertility; Patent policy; O31; O34; O40;
    All these keywords.

    JEL classification:

    • O34 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Intellectual Property and Intellectual Capital
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

    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:spr:jopoec:v:26:y:2013:i:1:p:181-202. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.