Growth and the diffusion of ideas
In a recent model of growth developed by Lucas (Lucas, R., 2009. Ideas and growth. Economica 76, 1–19), a continuum of people interact in a random manner and copy each other’s productive ideas when it is economically beneficial to do so. This paper extends the Lucas model by assuming that each person’s productivity also experiences random shocks due to individual discovery. A nonlinear partial differential equation is derived for the distribution of income, which admits a traveling wave solution representing a growing economy. The growth rate is an increasing function of the rate of imitation. The growth rate is also an increasing but concave function of population size and reaches a plateau in the continuum limit. Hence the scale effect is bounded. The model is extended to account for a nonzero cost of imitation, with similar results. The mathematical tools presented in this paper should prove useful in developing idea-based models of growth.
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Volume (Year): 47 (2011)
Issue (Month): 4-5 ()
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Segerstrom, Paul S, 1991.
"Innovation, Imitation, and Economic Growth,"
Journal of Political Economy,
University of Chicago Press, vol. 99(4), pages 807-827, August.
- Aghion, P. & Howitt, P., 1990.
"A Model Of Growth Through Creative Destruction,"
DELTA Working Papers
90-12, DELTA (Ecole normale supérieure).
- Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth Through Creative Destruction," Scholarly Articles 12490578, Harvard University Department of Economics.
- Philippe Aghion & Peter Howitt, 1990. "A Model of Growth Through Creative Destruction," NBER Working Papers 3223, National Bureau of Economic Research, Inc.
- Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," Working papers 527, Massachusetts Institute of Technology (MIT), Department of Economics.
- Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," UWO Department of Economics Working Papers 8904, University of Western Ontario, Department of Economics.
- Susanto Basu & David N. Weil, 1998.
"Appropriate Technology and Growth,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 113(4), pages 1025-1054.
- Charles I. Jones, 1999.
"Growth: With or Without Scale Effects?,"
American Economic Review,
American Economic Association, vol. 89(2), pages 139-144, May.
- Charles I. Jones, 1995. "Time Series Tests of Endogenous Growth Models," The Quarterly Journal of Economics, Oxford University Press, vol. 110(2), pages 495-525.
- Gene M. Grossman & Elhanan Helpman, 1989.
"Quality Ladders in the Theory of Growth,"
NBER Working Papers
3099, National Bureau of Economic Research, Inc.
- Robert E. Lucas, 2009.
"Ideas and Growth,"
London School of Economics and Political Science, vol. 76(301), pages 1-19, 02.
- Boyan Jovanovic & Rafael Rob, 1989. "The Growth and Diffusion of Knowledge," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 569-582.
- Staley, Mark, 2008.
"Innovation, Diffusion and the Distribution of Income in a Malthusian Economy,"
9849, University Library of Munich, Germany.
- Mark Staley, 2010. "Innovation, diffusion and the distribution of income in a Malthusian economy," Journal of Evolutionary Economics, Springer, vol. 20(5), pages 689-714, October.
- Mukoyama, Toshihiko, 2003. "Innovation, imitation, and growth with cumulative technology," Journal of Monetary Economics, Elsevier, vol. 50(2), pages 361-380, March.
- Sala-i-martin, X. & Barro, R.J., 1995.
"technological Diffusion, Convergence and Growth,"
735, Yale - Economic Growth Center.
- Robert J. Barro & Xavier Sala-i-Martin, 1995. "Technological diffusion, convergence and growth," Economics Working Papers 116, Department of Economics and Business, Universitat Pompeu Fabra.
- Robert J. Barro & Xavier Sala-i-Martin, 1995. "Technological Diffusion, Convergence, and Growth," NBER Working Papers 5151, National Bureau of Economic Research, Inc.
- Barro, Robert J. & Sala-i-Martin, Xavier, 1995. "Technological Diffusion, Convergence and Growth," CEPR Discussion Papers 1255, C.E.P.R. Discussion Papers.
- Fernando E. Alvarez & Francisco J. Buera & Robert E. Lucas, Jr., 2008. "Models of Idea Flows," NBER Working Papers 14135, National Bureau of Economic Research, Inc.
- Iwai, Katsuhito, 1984. "Schumpeterian dynamics, Part II : Technological progress, firm growth and `economic selection'," Journal of Economic Behavior & Organization, Elsevier, vol. 5(3-4), pages 321-351.
- Paul Romer, 1989.
"Endogenous Technological Change,"
NBER Working Papers
3210, National Bureau of Economic Research, Inc.
- Allen, Robert C., 1983. "Collective invention," Journal of Economic Behavior & Organization, Elsevier, vol. 4(1), pages 1-24, March.
- Liam Brunt, 2003. "Mechanical innovation in the industrial revolution: the case of plough design," Economic History Review, Economic History Society, vol. 56(3), pages 444-477, 08.
- 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.
- Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
- Parente, Stephen L & Prescott, Edward C, 1994. "Barriers to Technology Adoption and Development," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 298-321, April.
- Michael Kremer, 1993. "Population Growth and Technological Change: One Million B.C. to 1990," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 681-716.
- Iwai, Katsuhito, 1984. "Schumpeterian dynamics : An evolutionary model of innovation and imitation," Journal of Economic Behavior & Organization, Elsevier, vol. 5(2), pages 159-190, June.
- Stephen L. Parente & Edward C. Prescott, 2002. "Barriers to Riches," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262661306.
- Jan Eeckhout & Boyan Jovanovic, 2002. "Knowledge Spillovers and Inequality," American Economic Review, American Economic Association, vol. 92(5), pages 1290-1307, December.
- Eaton, Jonathan & Kortum, Samuel, 1999. "International Technology Diffusion: Theory and Measurement," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 537-570, August.
- P. Taylor & L. Jonker, 2010. "Evolutionarily Stable Strategies and Game Dynamics," Levine's Working Paper Archive 457, David K. Levine.
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