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Knife-Edge Conditions in the Modeling of Long-Run Growth Regularities

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Abstract

Balanced (exponential) growth cannot be generalized to a concept which would not require knife-edge conditions to be imposed on dynamic models. Already the assumption that a solution to a dynamical system (i.e. time path of an economy) satisfies a given functional regularity (e.g. quasi-arithmetic, logistic, etc.) imposes at least one knife-edge assumption on the considered model. Furthermore, it is always possible to find divergent and qualitative changes in dynamic behavior of the model – strong enough to invalidate its long-run predictions – if a certain parameter is infinitesimally manipulated.

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Bibliographic Info

Paper provided by National Bank of Poland, Economic Institute in its series National Bank of Poland Working Papers with number 68.

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Length: 34
Date of creation: 2009
Date of revision:
Handle: RePEc:nbp:nbpmis:68

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Keywords: knife-edge condition; balanced growth; regular growth; bifurcation; growth model; long-run dynamics;

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References

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  1. Hendrik Hakenes & Andreas Irmen, 2007. "On the long-run evolution of technological knowledge," Economic Theory, Springer, vol. 30(1), pages 171-180, January.
  2. Jakub Growiec, 2007. "Beyond the Linearity Critique: The Knife-edge Assumption of Steady-state Growth," Economic Theory, Springer, vol. 31(3), pages 489-499, June.
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  9. Christian Groth & Karl-Josef Koch & Thomas Steger, 2010. "When economic growth is less than exponential," Economic Theory, Springer, vol. 44(2), pages 213-242, August.
  10. Charles I. Jones, 2004. "Growth and Ideas," NBER Working Papers 10767, National Bureau of Economic Research, Inc.
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  19. repec:ebl:ecbull:v:5:y:2006:i:6:p:1-5 is not listed on IDEAS
  20. Hendrik Hakenes & Andreas Irmen, 2007. "Long-Run Growth and the Evolution of Technological Knowledge," Working Papers 0438, University of Heidelberg, Department of Economics, revised Mar 2007.
  21. Jakob Madsen, 2008. "Semi-endogenous versus Schumpeterian growth models: testing the knowledge production function using international data," Journal of Economic Growth, Springer, vol. 13(1), pages 1-26, March.
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Cited by:
  1. Christian Groth & Karl-Josef Koch & Thomas Steger, 2010. "When economic growth is less than exponential," Economic Theory, Springer, vol. 44(2), pages 213-242, August.
  2. Li, Defu & Huang, Jiuli & Zhou, Ying, 2013. "Revisting the Steady-State Equilibrium Conditions of Neoclassical Growth Models," MPRA Paper 55045, University Library of Munich, Germany, revised May 2013.

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