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A Schumpeterian Growth Model with Heterogenous Firms

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  • Minniti, A.
  • Parello, C.
  • Segerstrom, P. S.

Abstract

A common assumption in the Schumpeterian growth literature is that the innovation size is constant and identical across industries. This is in contrast with the empirical evidence which shows that: (i) the innovation size is far from being identical across industries; and (ii) the size distribution of profit returns from innovation is highly skewed toward the low value side, with a long tail on the high value side. In the present paper, we develop a Schumpeterian growth model that is consistent with this evidence. In particular, we assume that when a firm innovates, the size of its quality improvement is the result of a random draw from a Pareto distribution. This enables us to extend the class of quality-ladder growth models to encompass firm heterogeneity. We study the policy implications of this new set-up numerically and find that it is optimal to heavily subsidize R&D for plausible parameter values. Although it is optimal to tax R&D for some parameter values, this case only occurs when the steady-state rate of economic growth is very low.

Suggested Citation

  • Minniti, A. & Parello, C. & Segerstrom, P. S., 2008. "A Schumpeterian Growth Model with Heterogenous Firms," MPRA Paper 13674, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:13674
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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Popp David, 2005. "Uncertain R&D and the Porter Hypothesis," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 4(1), pages 1-16, June.
    3. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    4. 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.
    5. Silverberg, Gerald & Verspagen, Bart, 2007. "The size distribution of innovations revisited: An application of extreme value statistics to citation and value measures of patent significance," Journal of Econometrics, Elsevier, vol. 139(2), pages 318-339, August.
    6. Jones, Charles I., 2005. "Growth and Ideas," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 16, pages 1063-1111, Elsevier.
    7. Hall, B. & Jaffe, A. & Trajtenberg, M., 2001. "The NBER Patent Citations Data File: Lessons, Insights and Methodological Tools," Papers 2001-29, Tel Aviv.
    8. Hall, Bronwyn H. & Jaffee, Adam & Trajtenberg, Manuel, 2000. "Market Value and Patent Citations: A First Look," Department of Economics, Working Paper Series qt1rh8k6z2, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    9. Cohen, Wesley M. & Levin, Richard C., 1989. "Empirical studies of innovation and market structure," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 2, chapter 18, pages 1059-1107, Elsevier.
    10. Dietmar Harhoff & Frederic M. Scherer & Katrin Vopel, 1997. "Exploring the Tail of Patented Invention Value Distributions," CIG Working Papers FS IV 97-27, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
    11. Paul Klemperer, 1990. "How Broad Should the Scope of Patent Protection Be?," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 113-130, Spring.
    12. 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.
    13. Paul S. Segerstrom, 2007. "Intel Economics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(1), pages 247-280, February.
    14. Thomas M. Steger, 2003. "The Segerstrom Model: Stability, Speed of Convergence and Policy Implications," Economics Bulletin, AccessEcon, vol. 15(4), pages 1-8.
    15. 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.
    16. Chol-Won Li, 2003. "Endogenous Growth Without Scale Effects: Comment," American Economic Review, American Economic Association, vol. 93(3), pages 1009-1017, June.
    17. Thompson, Peter & Waldo, Doug, 1994. "Growth and trustified capitalism," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 445-462, December.
    18. Thompson, Peter, 1999. "Rationality, rules of thumb, and R&D," Structural Change and Economic Dynamics, Elsevier, vol. 10(3-4), pages 321-340, December.
    19. repec:ebl:ecbull:v:15:y:2003:i:4:p:1-8 is not listed on IDEAS
    20. 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.
    21. 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.
    22. Segerstrom, Paul S, 1998. "Endogenous Growth without Scale Effects," American Economic Review, American Economic Association, vol. 88(5), pages 1290-1310, December.
    23. Li, Chol-Won, 2001. "On the Policy Implications of Endogenous Technological Progress," Economic Journal, Royal Economic Society, vol. 111(471), pages 164-179, May.
    24. 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.
    25. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
    26. World Bank, 2003. "World Development Indicators 2003," World Bank Publications - Books, The World Bank Group, number 13920, December.
    27. Leo Sveikauskas, 2007. "R&D and Productivity Growth: A Review of the Literature," Working Papers 408, U.S. Bureau of Labor Statistics.
    28. Benjamin Bental & Dan Peled, 2002. "Quantitative growth effects of subsidies in a search theoretic R&D model," Journal of Evolutionary Economics, Springer, vol. 12(4), pages 397-423.
    29. Dinopoulos, Elias & Thompson, Peter, 1998. "Schumpeterian Growth without Scale Effects," Journal of Economic Growth, Springer, vol. 3(4), pages 313-335, December.
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    Citations

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    Cited by:

    1. Cevikarslan, Salih, 2013. "Optimal patent length and patent breadth in an R&D driven market with evolving consumer preferences: An evolutionary multi-agent based modelling approach," MERIT Working Papers 2013-020, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    2. Piercarlo Zanchettin & Vincenzo Denicolò, 2009. "Leadership Cycles," Discussion Papers in Economics 09/25, Division of Economics, School of Business, University of Leicester.
    3. Stadler Manfred, 2012. "Engines of Growth: Education and Innovation," Review of Economics, De Gruyter, vol. 63(2), pages 113-124, August.
    4. Paolo Giordani & Luca Zamparelli, 2011. "On robust asymmetric equilibria in asymmetric R&D-driven growth economies," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 34(1), pages 67-84, May.
    5. Simon Wiederhold, 2012. "The Role of Public Procurement in Innovation: Theory and Empirical Evidence," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 43.
    6. Simon Wiederhold, 2009. "Government Spending Composition in a Simple Model of Schumpeterian Growth," Jena Economics Research Papers 2009-101, Friedrich-Schiller-University Jena.
    7. Venturini, Francesco, 2012. "Looking into the black box of Schumpeterian growth theories: An empirical assessment of R&D races," European Economic Review, Elsevier, vol. 56(8), pages 1530-1545.
    8. Cevikarslan, Salih, 2013. "Heterogeneity in innovation strategies, evolving consumer preferences and market structure: An evolutionary multi-agent based modelling approach," MERIT Working Papers 2013-019, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    9. Viktor Slavtchev & Simon Wiederhold, 2011. "The Impact of Government Procurement Composition on Private R&D Activities," Jena Economics Research Papers 2011-036, Friedrich-Schiller-University Jena.

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    More about this item

    Keywords

    Schumpeterian Growth; R&D; optimal policy;
    All these keywords.

    JEL classification:

    • L16 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Industrial Organization and Macroeconomics; Macroeconomic Industrial Structure
    • O38 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Government Policy
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General

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