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AN ENDOGENOUSLY DERIVED AK MODEL OF ECONOMIC GROWTH

Published online by Cambridge University Press:  23 June 2017

Christian Jensen
Christian Jensen*
Affiliation:
University of South Carolina
*
Address correspondence to: Christian Jensen, Department of Economics, University of South Carolina, 1014 Greene Street, Columbia, SC 29208, USA; e-mail: cjensen@alumni.cmu.edu.
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Abstract

When the returns to scale of a production process vary with the intensity it is operated at, an AK model with constant returns to scale in production arises endogenously due to replication driven by profit maximization. If replication occurs at the efficiency-maximizing scale, as with perfect competition, the result applies also when the number of production processes must be discrete, thus, overcoming the so-called integer problem. When competition is imperfect, there is only convergence toward the AK model for large enough input use, so an economy is more prone to stalling in a steady state without growth, the smaller and less competitive it is.

Keywords

Endogenous Economic GrowthAK modelReplicationReturns to ScaleInteger Problem

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Type
Articles
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Macroeconomic Dynamics , Volume 22 , Issue 8 , December 2018 , pp. 2182 - 2200
Copyright
Copyright © Cambridge University Press 2017 

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References

REFERENCES

Acemoglu, D. (2008) Introduction to Modern Economic Growth. Princeton, NJ: Princeton University Press.Google Scholar
Aghion, P. and Howitt, P. (1992) A model of growth through creative destruction. Econometrica 60, 323–351.Google Scholar
Backus, D., Kehoe, P. J. and Kehoe, T. J. (1992) In search of scale effects in trade and growth. Journal of Economic Theory 58, 337–409.Google Scholar
Bartelsman, E. J. (1995) Of empty boxes: Returns to scale revisited. Economics Letters 49, 59–67.Google Scholar
Basu, S. and Fernald, J. G. (1997) Returns to scale in U.S. production, estimates and implications. Journal of Political Economy 105, 249–283.Google Scholar
Burnside, C., Eichenbaum, M. and Rebelo, S. (1995) Capital utilization and returns to scale. In Bernanke, B. S., and Rotemberg, J. J. (eds.), NBER Macroeconomics Annual. Cambridge, MA: MIT Press.Google Scholar
Caballero, R. J. and Lyons, R. K. (1992) External effects in U.S. procyclical productivity. Journal of Monetary Economics 29, 209–225.Google Scholar
Dasgupta, P. and Stiglitz, J. (1980) Uncertainty, industrial structure, and the speed of R&D. Bell Journal of Economics 11, 1–28.Google Scholar
Domowitz, I., Hubbard, R. G. and Petersen, B. C. (1988) Market structures and cyclical fluctuations in U.S. manufacturing. Review of Economics and Statistics 70, 55–66.Google Scholar
Dixit, A. K. and Stiglitz, J. E. (1977) Monopolistic competition and optimum product diversity. American Economic Review 67, 297–308.Google Scholar
Edgeworth, F. Y. (1911) Contributions to the theory of railway rates. Economic Journal 21, 346–371 and 551–571.Google Scholar
Gorodnichenko, Y. (2008) Using Firm Optimization to Evaluate and Estimate Returns to Scale. IZA discussion paper 3368.Google Scholar
Griliches, Z. and Schmookler, J. (1963) Inventing and maximizing. American Economic Review 53, 725–729.Google Scholar
Grossman, G. M. and Helpman, E. (1991a) Quality ladders in the theory of growth. Review of Economic Studies 68, 43–61.Google Scholar
Grossman, G. M. and Helpman, E. (1991b) Innovation and Growth in the Global Economy. Cambridge, MA: MIT Press.Google Scholar
Growiec, J. (2007) Beyond the linearity critique: The knife-edge assumption of steady-state growth. Economic Theory 31, 489–499.Google Scholar
Hall, R. E. (1990) Invariance properties and Solow's productivity residual. In Diamond, P. A. (ed.), Growth/Productivity/Employment. Cambridge, MA: MIT Press.Google Scholar
Hicks, J. (1939) Value and Capital, An Inquiry into Some Fundamental Principles of Economic Theory. Clarendon Press.Google Scholar
Jensen, C. (2014) Replication and returns to scale in production. B.E. Journal of Theoretical Economics 14, 1–22.Google Scholar
Jensen, C. (2016) Competition as an engine of economic growth with Producer heterogeneity. Macroeconomic Dynamics 20, 362–379.Google Scholar
Jones, C. I. (1995) R&D-based models of economic growth. Journal of Political Economics 103, 759–784.Google Scholar
Jones, C. I. (1999) Growth, with or without scale effects?. American Economic Review 89, 139–144.Google Scholar
Jones, C. I. (2005) Growth and Ideas. In Aghion, A. and Durlauf, S. (eds.), Handbook of Economic Growth. Amsterdam: Elsevier.Google Scholar
Kahyarara, G. (2004) Competition policy manufacturing exports, investment and productivity: Firm-level evidence from Tanzania manufacturing enterprises. In Brusick, P., Cernat, L. and Alvarez, A. M. (eds.), Competition, Competitiveness and development: Lessons from Developing Countries, pp. 252–264. New York and Geneva: United Nations.Google Scholar
Kaldor, N. (1934) The equilibrium of the firm. Economic Journal 44, 60–76.Google Scholar
Kaldor, N. (1963) Capital accumulation and economic growth. In Lutz, F. A. and Hauge, D. C. (eds.) Proceedings of a Conference Held By the International Economics Association. London: Macmillan.Google Scholar
Koopmans, T. C. (1957) Three Essays on the State of Economic Science. New York, NY: McGraw-Hill.Google Scholar
Lerner, A. P. (1944) The Economics of Control: Principles of Welfare Economics. New York, NY: Macmillan.Google Scholar
Lucas, R. E. (1988) On the mechanics of economic development. Journal of Monetary Economics 22, 3–42.Google Scholar
Marshall, A. (1890) Principles of Economics: An Introductory Volume. Macmillan.Google Scholar
McCallum, B. T. (1996) Neoclassical vs. endogenous growth analysis: An overview. Federal Reserve Bank of Richmond Economic Quarterly 82, 41–71.Google Scholar
Rebelo, S. (1991) Long-run policy analysis and long-run growth. Journal of Political Economy 99, 500–521.Google Scholar
Rivera-Batiz, L. A. and Romer, P. M. (1991) Economic integration and endogenous growth. Quarterly Journal of Economics 106, 531–555.Google Scholar
Romer, P. M. (1986) Increasing returns and long-run growth. Journal of Political Economy 94, 1002–37.Google Scholar
Romer, P. M. (1990) Endogenous technological change. Journal of Political Economy 90, S71–102.Google Scholar
Romer, P. M. (1993) Idea gaps and object gaps in economic development. Journal of Monetary Economics 32, 543–573.Google Scholar
Romer, P. M. (1994) The origins of endogenous growth. Journal of Economic Perspectives 8, 3–22.Google Scholar
Scarf, H. E. (1994) The allocation of resources in the presence of indivisibilities. Journal of Economic Perspectives 8, 111–128.Google Scholar
Schmookler, J. (1966) Invention and Economic Growth. Cambridge, MA: Harvard University Press.Google Scholar
Schumpeter, J. A. (1934) The Theory of Economic Development. Cambridge, MA: Harvard University Press.Google Scholar
Sekkat, K. (2009) Does competition improve productivity in developing countries?. Journal of Economic Policy Reform 12, 145–162.Google Scholar
Shell, K. (1966) Toward a theory of inventive activity and capital accumulation. American Economic Review 56, 62–68.Google Scholar
Singh, A. (2002) Competition and competition policy in emerging markets: International and developmental dimensions. United Nations Conference on Trade and Development, G-24 Discussion Papers 18.Google Scholar
Solow, R. M. (1956) A contribution to the theory of economic growth. Quarterly Journal of Economics 70, 65–94.Google Scholar
Sydsæter, K., Strøm, A. and Berck, P. (1991) Economists' Mathematical Manual. Springer.Google Scholar
Tybout, J. (2000) Manufacturing firms in developing countries: How well do they do and why?. Journal of Economic Literature 38, 11–44.Google Scholar
Uzawa, H. (1961) Neutral inventions and the stability of growth equilibrium. Review of Economic Studies 28, 117–124.Google Scholar
Wicksell, K. (1934) Lectures on Political Economy I. London: Routledge & Sons.Google Scholar
Zeng, J., Zhang, J. and Fung, M. K. (2014) Patent length and price regulation in an R&D growth model with monopolistic competition. Macroeconomic Dynamics 18, 1–22.Google Scholar