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 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 increasing average over a long time span, the model is able to address complementary empirical evidence that points to a total distribution subtly evolving over time. Copyright Springer-Verlag 2013
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Volume (Year): 23 (2013)
Issue (Month): 1 (January)
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- Alain Gabler & Omar Licandro, 2007. "Endogenous Growth through Selection and Imitation," Economics Working Papers ECO2007/26, European University Institute.
- Jakob Klette & Samuel Kortum, 2002.
"Innovating firms and aggregate innovation,"
300, Federal Reserve Bank of Minneapolis.
- Klette, Tor Jakob & Kortum, Samuel, 2002. "Innovating Firms and Aggregate Innovation," Memorandum 02/2002, Oslo University, Department of Economics.
- Klette, Tor Jakob & Kortum, Samuel S, 2002. "Innovating Firms and Aggregate Innovation," CEPR Discussion Papers 3248, C.E.P.R. Discussion Papers.
- Tor Jakob Klette & Samuel Kortum, 2002. "Innovating Firms and Aggregate Innovation," NBER Working Papers 8819, National Bureau of Economic Research, Inc.
- Growiec, Jakub & Pammolli, Fabio & Riccaboni, Massimo & Stanley, H. Eugene, 2008. "On the size distribution of business firms," Economics Letters, Elsevier, vol. 98(2), pages 207-212, February.
- Segerstrom, Paul S., 1999.
Working Paper Series
524, Research Institute of Industrial Economics.
- Markus Poschke, 2007.
"Employment protection, firm selection, and growth,"
2007 Meeting Papers
389, Society for Economic Dynamics.
- Luís Cabral, 2007. "Small firms in Portugal: a selective survey of stylized facts, economic analysis, and policy implications," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 6(1), pages 65-88, April.
- Luis A. Rivera-Batiz & Paul M. Romer, 1990.
"Economic Integration and Endogenous Growth,"
NBER Working Papers
3528, National Bureau of Economic Research, Inc.
- McCloughan, Patrick, 1995. "Simulation of Concentration Development from Modified Gibrat Growth-Entry-Exit Processes," Journal of Industrial Economics, Wiley Blackwell, vol. 43(4), pages 405-33, December.
- 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.
- Harris, Christopher & Howitt, Peter & Vickers, John & Aghion, Philippe, 2001.
"Competition, Imitation and Growth with Step-by-Step Innovation,"
12375013, Harvard University Department of Economics.
- Philippe Aghion & Christopher Harris & Peter Howitt & John Vickers, 2001. "Competition, Imitation and Growth with Step-by-Step Innovation," Review of Economic Studies, Oxford University Press, vol. 68(3), pages 467-492.
- Steven Klepper & Peter Thompson, 2006. "Submarkets and the evolution of market structure," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 861-886, December.
- Patrizio Pagano & Fabiano Schivardi, 2003.
"Firm Size Distribution and Growth,"
Scandinavian Journal of Economics,
Wiley Blackwell, vol. 105(2), pages 255-274, 06.
- 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.
- 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/.
- Reed, William J., 2003. "The Pareto law of incomes—an explanation and an extension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 469-486.
- 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, December.
- 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.
- 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.
- Luís M B Cabral & José 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.
- Holger Strulik, 2005.
"Too Much of a Good Thing? The Quantitative Economics of R&D–driven Growth Revisited,"
05-26, University of Copenhagen. Department of Economics.
- Holger Strulik, 2007. "Too Much of a Good Thing? The Quantitative Economics of R&D-driven Growth Revisited," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(2), pages 369-386, 06.
- Peretto, Pietro F., 1996.
"Technological Change and Population Growth,"
96-28, Duke University, Department of Economics.
- Geroski, P. A., 1995. "What do we know about entry?," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 421-440, December.
- 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.
- 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.
- 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.
- Esteban Rossi-Hansberg & Mark L. J. Wright, 2006. "Establishment size dynamics in the aggregate economy," Staff Report 382, Federal Reserve Bank of Minneapolis.
- 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.
- Gil, Pedro Mazeda & Brito, Paulo & Afonso, Oscar, 2013. "Growth And Firm Dynamics With Horizontal And Vertical R&D," Macroeconomic Dynamics, Cambridge University Press, vol. 17(07), pages 1438-1466, October.
- repec:rje:randje:v:37:y:2006:i:4:p:861-886 is not listed on IDEAS
- Etro, Federico, 2008. "Growth leaders," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1148-1172, September.
- Jovanovic, B., 1993. "The Diversification of Production," Working Papers 93-11, C.V. Starr Center for Applied Economics, New York University.
- John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
- Chris Freeman & Luc Soete, 1997. "The Economics of Industrial Innovation, 3rd Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262061953, December.
- Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, Oxford University Press, vol. 122(3), pages 1103-1144.
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