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Beyond the Linearity Critique: The Knife-Edge Assumption of Steady State Growth

  • Jakub Growiec

    (Warsaw School of Economics)

The "linearity critique" of endogenous growth models is presented in a general context of an arbitrary growth model and reassessed. It is argued, that presence of linearities is not a valid criterion for rejecting growth models. Existence of exponential/geometrical steady- state growth (i.e. of a balanced growth path with strictly positive growth rates) necessarily requires some knife-edge condition, which is not satisfied by typical parameter values. Hence, balanced growth paths are fragile and sensitive to smallest disturbances in parameter values. Adding higher order differential/difference equations to a model does not change the knife-edge character of steady-state growth.

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Paper provided by EconWPA in its series GE, Growth, Math methods with number 0505003.

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Length: 20 pages
Date of creation: 09 May 2005
Date of revision: 23 Jun 2005
Handle: RePEc:wpa:wuwpge:0505003
Note: Type of Document - pdf; pages: 20
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  1. Jonathan Temple, 2003. "The Long-Run implications of Growth Theories," Journal of Economic Surveys, Wiley Blackwell, vol. 17(3), pages 497-510, 07.
  2. Jones Charles I., 2001. "Was an Industrial Revolution Inevitable? Economic Growth Over the Very Long Run," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(2), pages 1-45, August.
  3. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-84, August.
  4. Jones, Charles I., 2005. "Growth and Ideas," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 16, pages 1063-1111 Elsevier.
  5. Connolly, Michelle & Peretto, Pietro F, 2003. " Industry and the Family: Two Engines of Growth," Journal of Economic Growth, Springer, vol. 8(1), pages 115-48, March.
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