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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- 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., 1990. "A Model Of Growth Through Creative Destruction," DELTA Working Papers 90-12, DELTA (Ecole normale supérieure).
- 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.
- 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.
- Charles I. Jones, .
"Growth: With or Without Scale Effects?,"
99001, Stanford University, Department of Economics.
- Gene M. Grossman & Elhanan Helpman, 1989.
"Quality Ladders in the Theory of Growth,"
NBER Working Papers
3099, National Bureau of Economic Research, Inc.
- P. Taylor & L. Jonker, 2010. "Evolutionarily Stable Strategies and Game Dynamics," Levine's Working Paper Archive 457, David K. Levine.
- Jones, Charles I, 1995. "Time Series Tests of Endogenous Growth Models," The Quarterly Journal of Economics, MIT Press, vol. 110(2), pages 495-525, May.
- Robert J. Barro & Xavier Sala-i-Martin, 1995.
"Technological Diffusion, Convergence, and Growth,"
NBER Working Papers
5151, National Bureau of Economic Research, Inc.
- Sala-i-martin, X. & Barro, R.J., 1995. "technological Diffusion, Convergence and Growth," Papers 735, Yale - Economic Growth Center.
- Barro, Robert J. & Sala-i-Martin, Xavier, 1995. "Technological Diffusion, Convergence and Growth," CEPR Discussion Papers 1255, C.E.P.R. Discussion Papers.
- 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.
- Mukoyama, Toshihiko, 2003. "Innovation, imitation, and growth with cumulative technology," Journal of Monetary Economics, Elsevier, vol. 50(2), pages 361-380, March.
- Kremer, Michael, 1993. "Population Growth and Technological Change: One Million B.C. to 1990," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 681-716, August.
- Susanto Basu & David N. Weil, 1998.
"Appropriate Technology And Growth,"
The Quarterly Journal of Economics,
MIT Press, vol. 113(4), pages 1025-1054, November.
- 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.
- 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.
- Robert E. Lucas, 2009.
"Ideas and Growth,"
London School of Economics and Political Science, vol. 76(301), pages 1-19, 02.
- Staley, Mark, 2008. "Innovation, Diffusion and the Distribution of Income in a Malthusian Economy," MPRA Paper 9849, University Library of Munich, Germany.
- Allen, Robert C., 1983. "Collective invention," Journal of Economic Behavior & Organization, Elsevier, vol. 4(1), pages 1-24, March.
- Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth Through Creative Destruction," Scholarly Articles 12490578, Harvard University Department of Economics.
- Segerstrom, Paul S, 1991.
"Innovation, Imitation, and Economic Growth,"
Journal of Political Economy,
University of Chicago Press, vol. 99(4), pages 807-27, August.
- Romer, Paul M, 1990.
"Endogenous Technological Change,"
Journal of Political Economy,
University of Chicago Press, vol. 98(5), pages S71-102, October.
- 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 537-70, August.
- 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.
- Jovanovic, Boyan & Rob, Rafael, 1989. "The Growth and Diffusion of Knowledge," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 569-82, October.
- 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.
- Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
- 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.
- Aghion, Philippe, et al, 2001. "Competition, Imitation and Growth with Step-by-Step Innovation," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 467-92, July.
- 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.
- Jan Eeckhout & Boyan Jovanovic, 2002. "Knowledge Spillovers and Inequality," American Economic Review, American Economic Association, vol. 92(5), pages 1290-1307, December.
- Stephen L. Parente & Edward C. Prescott, 2002. "Barriers to Riches," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262661306, June.
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