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Incremental Innovation by Heterogeneous Incumbents and Economic Growth: relationship between two sources of growth

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  • Ohki, Kazuyoshi

Abstract

In this paper, we construct a tractable endogenous growth model that incorporates both incremental innovation by heterogeneous incumbents and innovation by entrants. Our model features two endogenous sources of growth: quality improvement (vertical growth) and expansion in the variety of goods (horizontal growth). We then examine the policy effects of a subsidy for incremental innovation by incumbents and a subsidy for innovation by entrants on the overall economic growth rate, as well as on the relationship between the two sources of growth. Our model confirms that incumbents with higher profit flows tend to engage in incremental innovation for a longer duration and incur greater innovation costs, which is consistent with both Schumpeter's hypothesis and the findings of Christensen (1997) Additionally, the model generates counterintuitive results that are not commonly found in the conventional literature. First, a subsidy for incremental innovation by incumbents may reduce the entry of new firms. Second, a subsidy for innovation by entrants may have a negative effect on the overall economic growth rate.

Suggested Citation

  • Ohki, Kazuyoshi, 2025. "Incremental Innovation by Heterogeneous Incumbents and Economic Growth: relationship between two sources of growth," MPRA Paper 124304, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:124304
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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. Angus C. Chu & Guido Cozzi & Haichao Fang & Yuichi Furukawa & Chih-Hsing Liao, 2019. "Innovation and Inequality in a Monetary Schumpeterian Model with Heterogeneous Households and Firms," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 34, pages 141-164, October.
    3. Tatsuro Iwaisako & Kazuyoshi Ohki, 2019. "Innovation by Heterogeneous Leaders," Scandinavian Journal of Economics, Wiley Blackwell, vol. 121(4), pages 1673-1704, October.
    4. Iwaisako, Tatsuro, 2020. "Welfare Effects Of Patent Protection In A Semi-Endogenous Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 24(3), pages 708-728, April.
    5. Daron Acemoglu & Ufuk Akcigit, 2012. "Intellectual Property Rights Policy, Competition And Innovation," Journal of the European Economic Association, European Economic Association, vol. 10(1), pages 1-42, February.
    6. Norrbin, Stefan C, 1993. "The Relation between Price and Marginal Cost in U.S. Industry: A Contradiction," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1149-1164, December.
    7. 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.
    8. Acemoglu, Daron & Cao, Dan, 2015. "Innovation by entrants and incumbents," Journal of Economic Theory, Elsevier, vol. 157(C), pages 255-294.
    9. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    10. Kiedaisch, Christian, 2015. "Intellectual property rights in a quality-ladder model with persistent leadership," European Economic Review, Elsevier, vol. 80(C), pages 194-213.
    11. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    12. Smulders, Sjak & van de Klundert, Theo, 1995. "Imperfect competition, concentration and growth with firm-specific R & D," European Economic Review, Elsevier, vol. 39(1), pages 139-160, January.
    13. Thompson, Peter & Waldo, Doug, 1994. "Growth and trustified capitalism," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 445-462, December.
    14. Peretto, Pietro F., 2007. "Corporate taxes, growth and welfare in a Schumpeterian economy," Journal of Economic Theory, Elsevier, vol. 137(1), pages 353-382, November.
    15. 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.
    16. Ufuk Akcigit & William R. Kerr, 2018. "Growth through Heterogeneous Innovations," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1374-1443.
    17. Ai-Ting Goh & Jacques Olivier, 2002. "Optimal Patent Protection in a Two-Sector Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 1191-1214, November.
    18. Peretto, Pietro F, 1996. "Sunk Costs, Market Structure, and Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 895-923, November.
    19. Philippe Aghion & Christopher Harris & Peter Howitt & John Vickers, 2001. "Competition, Imitation and Growth with Step-by-Step Innovation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 467-492.
    20. Tatsuro Iwaisako & Koichi Futagami, 2003. "Patent Policy in an Endogenous Growth Model," Journal of Economics, Springer, vol. 78(3), pages 239-258, March.
    21. Chu, Angus C. & Peretto, Pietro F., 2023. "Innovation and inequality from stagnation to growth," European Economic Review, Elsevier, vol. 160(C).
    22. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    23. Vincenzo Denicolò & Piercarlo Zanchettin, 2012. "Leadership Cycles in a Quality‐Ladder Model of Endogenous Growth," Economic Journal, Royal Economic Society, vol. 122(561), pages 618-650, June.
    24. Peretto, Pietro F, 2003. "Fiscal Policy and Long-Run Growth in R&D-Based Models with Endogenous Market Structure," Journal of Economic Growth, Springer, vol. 8(3), pages 325-347, September.
    25. Carmelo P Parello, 2019. "R&D policy and competition in a Schumpeterian growth model with heterogeneous firms," Oxford Economic Papers, Oxford University Press, vol. 71(1), pages 187-202.
    26. Tor Jakob Klette & Samuel Kortum, 2004. "Innovating Firms and Aggregate Innovation," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 986-1018, October.
    27. Federico Etro, 2004. "Innovation by leaders," Economic Journal, Royal Economic Society, vol. 114(495), pages 281-303, April.
    28. Chu, Angus C. & Cozzi, Guido & Furukawa, Yuichi & Liao, Chih-Hsing, 2017. "Inflation and economic growth in a Schumpeterian model with endogenous entry of heterogeneous firms," European Economic Review, Elsevier, vol. 98(C), pages 392-409.
    29. Susanto Basu, 1996. "Procyclical Productivity: Increasing Returns or Cyclical Utilization?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 719-751.
    30. Bessen, James, 2008. "The value of U.S. patents by owner and patent characteristics," Research Policy, Elsevier, vol. 37(5), pages 932-945, June.
    31. 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.
    32. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    33. Peretto, Pietro F, 1998. "Technological Change and Population Growth," Journal of Economic Growth, Springer, vol. 3(4), pages 283-311, December.
    34. Mark Doms & Eric J. Bartelsman, 2000. "Understanding Productivity: Lessons from Longitudinal Microdata," Journal of Economic Literature, American Economic Association, vol. 38(3), pages 569-594, September.
    35. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    36. Ohki, Kazuyoshi, 2023. "Disruptive innovation by heterogeneous incumbents and economic growth: When do incumbents switch to new technology?," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    37. 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.
    38. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    39. Alwyn Young, 1998. "Growth without Scale Effects," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 41-63, February.
    40. 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.
    41. Angus C. Chu & Guido Cozzi & Haichao Fang & Yuichi Furukawa & Chih-Hsing Liao, 2019. "Innovation and Inequality in a Monetary Schumpeterian Model with Heterogeneous Households and Firms," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 34, pages 141-164, October.
    42. Angus C. Chu, 2022. "Patent policy and economic growth: A survey," Manchester School, University of Manchester, vol. 90(2), pages 237-254, March.
    43. Peter Howitt, 1999. "Steady Endogenous Growth with Population and R & D Inputs Growing," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 715-730, August.
    44. Saito, Yuki, 2017. "Effects of patent protection on economic growth and welfare in a two-R&D-sector economy," Economic Modelling, Elsevier, vol. 62(C), pages 124-129.
    45. Dinopoulos, Elias & Thompson, Peter, 1998. "Schumpeterian Growth without Scale Effects," Journal of Economic Growth, Springer, vol. 3(4), pages 313-335, December.
    46. Pietro Peretto & Michelle Connolly, 2007. "The Manhattan Metaphor," Journal of Economic Growth, Springer, vol. 12(4), pages 329-350, December.
    47. Aghion, Philippe & Harris, Christopher & Vickers, John, 1997. "Competition and growth with step-by-step innovation: An example," European Economic Review, Elsevier, vol. 41(3-5), pages 771-782, April.
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    More about this item

    Keywords

    Economic Growth; &D; In-house model; Firm-Heterogeneity; Innovation by Incumbents; IPR policy; Incremental Innovation; Sustaining Innovation;
    All these keywords.

    JEL classification:

    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O34 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Intellectual Property and Intellectual Capital
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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