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A Model of Optimal Growth Strategy

  • Askenazy, P.
  • Le Van, C.

In this paper we present an optimal growth model with convex-concave technology, for an open developing country. The latter may choose to produce consumption goods by borrowing on capital markets. We prove there exists two non trivial steady states. An optimal path converges either to 0 or to the high stedy-state. That depends on the levels of the initial debt and/or of the debt constraint. We prove also there exists a poverty trap if the time preference is very high.

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Paper provided by DELTA (Ecole normale supérieure) in its series DELTA Working Papers with number 97-27.

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Length: 37 pages
Date of creation: 1997
Date of revision:
Publication status: Published in Journal of Economic Theory, 1999, vol. 85, no. 1, pp. 27-54
Handle: RePEc:del:abcdef:97-27
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  1. Krugman, Paul, 1991. "History versus Expectations," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 651-67, May.
  2. Barro, R. & Mankiw, G., 1992. "Capital Mobility in Neoclassical Models of Growth," Harvard Institute of Economic Research Working Papers 1615, Harvard - Institute of Economic Research.
  3. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-39, May.
  4. Cohen, Daniel & Sachs, Jeffrey, 1986. "Growth and external debt under risk of debt repudiation," European Economic Review, Elsevier, vol. 30(3), pages 529-560, June.
  5. van de Klundert, Theo & Smulders, Sjak, 1996. "North-South knowledge spillovers and competition: convergence versus divergence," Journal of Development Economics, Elsevier, vol. 50(2), pages 213-232, August.
  6. Young, Alwyn, 1991. "Learning by Doing and the Dynamic Effects of International Trade," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 369-405, May.
  7. Alwyn Young, 1991. "Learning by Doing and the Dynamic Effects of International Trade," NBER Working Papers 3577, National Bureau of Economic Research, Inc.
  8. Costas Azariadis, 1996. "The Economics of Poverty Traps Part One: Complete Markets," Working Papers 9606, Centro de Investigacion Economica, ITAM.
  9. Young, Alwyn, 1995. "The Tyranny of Numbers: Confronting the Statistical Realities of the East Asian Growth Experience," The Quarterly Journal of Economics, MIT Press, vol. 110(3), pages 641-80, August.
  10. Azariadis, Costas & Drazen, Allan, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 501-26, May.
  11. Askenazy, P. & Le Van, C., 1997. "A Model of Optimal Growth Strategy," DELTA Working Papers 97-27, DELTA (Ecole normale supérieure).
  12. Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
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