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On the Mechanics of Firm Growth

Author

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  • Erzo G.J. Luttmer

    (Department of Economics, University of Minnesota)

Abstract

When the rate at which any given blueprint can be replicated is subject to decreasing returns, it is optimal to replicate high-quality blueprints more quickly than low-quality blueprints. The cost of introducing high-quality “start-up” blueprints will also rise with the rate at which they are introduced, and so low-quality blueprints will continue to enter the population. This naturally leads to persistent heterogeneity in blueprint quality. If quality begets quality and firms are identified with collections of blueprints derived from the same initial blueprint, then firms grow at a constant mean rate along the balanced growth path. A firm size distribution with the thick right tail observed in the data can then arise only when the number of blueprints in the economy grows over time. When calibrated to match the firm entry rate and the right tail of the size distribution, a homogeneous quality version of this model implies that the median age among firms with more than 10,000 employees is about 750 years. If the relative quality of a firm’s blueprints depreciates over time, then firm growth rates are not constant but slow down with age. If the successful replication of new blueprints is rapid but noisy, and high relative quality is sufficiently persistent, this version of the model can explain high observed entry rates, the thick-tailed size distribution, and the relatively young age of large U.S. corporations.

Suggested Citation

  • Erzo G.J. Luttmer, 2007. "On the Mechanics of Firm Growth," Working Papers 2007-4, University of Minnesota, Department of Economics, revised 10 2007.
  • Handle: RePEc:min:wpaper:2007-4
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    1. Steven J. Davis & John Haltiwanger & Ron Jarmin & Javier Miranda, 2007. "Volatility and Dispersion in Business Growth Rates: Publicly Traded versus Privately Held Firms," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 107-180, National Bureau of Economic Research, Inc.
    2. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    3. Satyajit Chatterjee & Esteban Rossi‐Hansberg, 2012. "Spinoffs And The Market For Ideas," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(1), pages 53-93, February.
    4. Evans, David S, 1987. "The Relationship between Firm Growth, Size, and Age: Estimates for 100 Manufacturing Industries," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 567-581, June.
    5. Holmes, Thomas J & Schmitz, James A, Jr, 1995. "On the Turnover of Business Firms and Business Managers," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 1005-1038, October.
    6. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    7. Marko Tervio, 2008. "The Difference That CEOs Make: An Assignment Model Approach," American Economic Review, American Economic Association, vol. 98(3), pages 642-668, June.
    8. 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.
    9. Andrew Atkeson & Patrick J. Kehoe, 2002. "Measuring Organization Capital," NBER Working Papers 8722, National Bureau of Economic Research, Inc.
    10. John Sutton, 2007. "Market Share Dynamics and the "Persistence of Leadership" Debate," American Economic Review, American Economic Association, vol. 97(1), pages 222-241, March.
    11. 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.
    12. Rasmus Lentz & Dale T. Mortensen, 2008. "An Empirical Model of Growth Through Product Innovation," Econometrica, Econometric Society, vol. 76(6), pages 1317-1373, November.
    13. Andrew B. Bernard & Stephen J. Redding & Peter K. Schott, 2006. "Multi-Product Firms and Product Switching," NBER Working Papers 12293, National Bureau of Economic Research, Inc.
    14. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    15. Costas Arkolakis, 2010. "Market Penetration Costs and the New Consumers Margin in International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1151-1199.
    16. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Establishment Size Dynamics in the Aggregate Economy," American Economic Review, American Economic Association, vol. 97(5), pages 1639-1666, December.
    17. Daron Acemoglu & Kenneth Rogoff & Michael Woodford, 2009. "NBER Macroeconomics Annual 2008, Volume 23," NBER Books, National Bureau of Economic Research, Inc, number acem08-1.
    18. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    19. Thomas J. Holmes, 2006. "The Diffusion of Wal-Mart and Economies of Density," 2006 Meeting Papers 15, Society for Economic Dynamics.
    20. Daron Acemoglu & Kenneth Rogoff & Michael Woodford, 2007. "NBER Macroeconomics Annual 2006, Volume 21," NBER Books, National Bureau of Economic Research, Inc, number acem06-1.
    21. Erzo G. J. Luttmer, 2006. "Consumer search and firm growth," Working Papers 645, Federal Reserve Bank of Minneapolis.
    22. Stephen Hymer & Peter Pashigian, 1962. "Firm Size and Rate of Growth," Journal of Political Economy, University of Chicago Press, vol. 70(6), pages 556-556.
    23. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 583-606, June.
    24. Timothy Dunne & Mark J. Roberts & Larry Samuelson, 1989. "The Growth and Failure of U. S. Manufacturing Plants," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(4), pages 671-698.
    25. Robert E. Lucas Jr., 1978. "On the Size Distribution of Business Firms," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 508-523, Autumn.
    26. Boyan Jovanovic & Peter L. Rousseau, 2002. "The Q-Theory of Mergers," American Economic Review, American Economic Association, vol. 92(2), pages 198-204, May.
    27. repec:bla:econom:v:45:y:1978:i:179:p:235-50 is not listed on IDEAS
    28. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    29. Seker, Murat, 2009. "A structural model of establishment and industry evolution : evidence from Chile," Policy Research Working Paper Series 4947, The World Bank.
    30. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    31. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    More about this item

    Keywords

    firm size; productivity; replication;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • O3 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights

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