Firm Size Distribution under Horizontal and Vertical Innovation
This paper studies the firm size distribution arising from an endogenous growth model of quality ladders with expanding variety. The probability distribution function of a given cohort of firms is a Poisson distribution that converges asymptotically to a normal of log size. However, due to firm entry propelled by horizontal R&D, the total distribution – i.e., when the entire population of firms is considered – is a mixture of overlapping Poisson distributions which is systematically right skewed and exhibits a fatter upper tail than the normal distribution of log size. Our theoretical results qualitatively match the empirical evidence found both for the cohort and the total distribution, and which has been presented as a challenge for theory to explain. Moreover, by obtaining a total distribution with a gradually falling variance over a long time span, the model is able to address complementary empirical evidence that points to a total distribution subtly evolving over time.
|Length:||31 pages JEL Classification: O41, O38, L11|
|Date of creation:||Sep 2011|
|Date of revision:|
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- Gallegati, M. & Palestrini, A., 2010. "The complex behavior of firms' size dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 69-76, July.
- Luis A. Rivera-Batiz & Paul M. Romer, 1990.
"Economic Integration and Endogenous Growth,"
NBER Working Papers
3528, National Bureau of Economic Research, Inc.
- Harris, Christopher & Howitt, Peter & Vickers, John & Aghion, Philippe, 2001. "Competition, Imitation and Growth with Step-by-Step Innovation," Scholarly Articles 12375013, Harvard University Department of Economics.
- Rui Castro & Gian Clementi, 2009.
"The economic effects of improving investor rights in Portugal,"
Portuguese Economic Journal,
Springer, vol. 8(2), pages 59-97, August.
- CASTRO, Rui & CLEMENTI, Gian Luca, 2009. "The Economic Effects of Improving Investor Rights in Portugal," Cahiers de recherche 08-2009, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- CASTRO, Rui & CLEMENTI, Gian Luca, 2009. "The Economic Effects of Improving Investor Rights in Portugal," Cahiers de recherche 2009-07, Universite de Montreal, Departement de sciences economiques.
- Klette, Tor Jakob & Kortum, Samuel, 2002.
"Innovating Firms and Aggregate Innovation,"
02/2002, Oslo University, Department of Economics.
- Tor Jakob Klette & Samuel Kortum, 2002. "Innovating Firms and Aggregate Innovation," NBER Working Papers 8819, National Bureau of Economic Research, Inc.
- Jakob Klette & Samuel Kortum, 2002. "Innovating firms and aggregate innovation," Staff Report 300, Federal Reserve Bank of Minneapolis.
- Klette, Tor Jakob & Kortum, Samuel S, 2002. "Innovating Firms and Aggregate Innovation," CEPR Discussion Papers 3248, C.E.P.R. Discussion Papers.
- Gil, Pedro Mazeda & Brito, Paulo & Afonso, Oscar, 2013.
"Growth And Firm Dynamics With Horizontal And Vertical R&D,"
Cambridge University Press, vol. 17(07), pages 1438-1466, October.
- Pedro Rui Mazeda Gil & Paulo Brito & Óscar Afonso, 2010. "Growth and Firm Dynamics with Horizontal and Vertical R&D," FEP Working Papers 356, Universidade do Porto, Faculdade de Economia do Porto.
- 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.
- Peretto, Pietro F., 1996.
"Technological Change and Population Growth,"
96-28, Duke University, Department of Economics.
- G. Bottazzi & E. Cefis & G. Dosi & A. Secchi, 2007. "Invariances and Diversities in the Patterns of Industrial Evolution: Some Evidence from Italian Manufacturing Industries," Small Business Economics, Springer, vol. 29(1), pages 137-159, June.
- Patrizio Pagano & Fabiano Schivardi, 2003.
"Firm Size Distribution and Growth,"
Scandinavian Journal of Economics,
Wiley Blackwell, vol. 105(2), pages 255-274, 06.
- de Wit, Gerrit, 2005.
"Firm size distributions: An overview of steady-state distributions resulting from firm dynamics models,"
International Journal of Industrial Organization,
Elsevier, vol. 23(5-6), pages 423-450, June.
- Gerrit de Wit, 2004. "Firm Size Distributions : An overview of steady-state distributions resulting from firm dynamics models," Scales Research Reports N200418, EIM Business and Policy Research.
- Kim P. Huynh & David T. Jacho‐Chávez, 2010. "Firm size distributions through the lens of functional principal components analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(7), pages 1211-1214, November/.
- Alain Gabler & Omar Licandro, 2007. "Endogenous Growth through Selection and Imitation," Economics Working Papers ECO2007/26, European University Institute.
- Poschke, Markus, 2007.
"Employment Protection, Firm Selection, and Growth,"
IZA Discussion Papers
3164, Institute for the Study of Labor (IZA).
- Chris Freeman & Luc Soete, 1997. "The Economics of Industrial Innovation, 3rd Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262061953, June.
- Christopher Laincz, 2009. "R&D subsidies in a model of growth with dynamic market structure," Journal of Evolutionary Economics, Springer, vol. 19(5), pages 643-673, October.
- Esteban Rossi-Hansberg & Mark L. J. Wright, 2006.
"Establishment size dynamics in the aggregate economy,"
382, Federal Reserve Bank of Minneapolis.
- 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.
- Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, MIT Press, vol. 122(3), pages 1103-1144, 08.
- Klepper, Steven, 1996. "Entry, Exit, Growth, and Innovation over the Product Life Cycle," American Economic Review, American Economic Association, vol. 86(3), pages 562-83, June.
- Lu�s M B Cabral & Jos� Mata, 2003.
"On the Evolution of the Firm Size Distribution: Facts and Theory,"
American Economic Review,
American Economic Association, vol. 93(4), pages 1075-1090, September.
- Cabral, Luís M B & Mata, José, 2001. "On the Evolution of the Firm Size Distribution: Facts and Theory," CEPR Discussion Papers 3045, C.E.P.R. Discussion Papers.
- William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17.
- David B. Audretsch, 1995. "Innovation and Industry Evolution," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011468, June.
- Gaffeo, Edoardo & Gallegati, Mauro & Palestrini, Antonio, 2003. "On the size distribution of firms: additional evidence from the G7 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 117-123.
- Geroski, P. A., 1995. "What do we know about entry?," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 421-440, December.
- Peter Thompson & Steven Klepper, 2003.
"Submarkets and the Evolution of Market Structure,"
0303, Florida International University, Department of Economics.
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