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A model of optimal growth strategy

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  • Askenazy, Philippe
  • Le Van

Abstract

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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Suggested Citation

  • Askenazy, Philippe & Le Van, 1997. "A model of optimal growth strategy," CEPREMAP Working Papers (Couverture Orange) 9707, CEPREMAP.
    • Handle: RePEc:cpm:cepmap:9707
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    References listed on IDEAS

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    1. Barro, Robert J & Mankiw, N Gregory & Sala-i-Martin, Xavier, 1995. "Capital Mobility in Neoclassical Models of Growth," American Economic Review, American Economic Association, vol. 85(1), pages 103-115, March.
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    5. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    6. 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.
    7. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    8. Daniel Cohen & Jeffrey Sachs, 1991. "Growth and External Debt Under Risk of Debt Repudiation," NBER Chapters, in: International Volatility and Economic Growth: The First Ten Years of The International Seminar on Macroeconomics, pages 437-472, National Bureau of Economic Research, Inc.
    9. Alwyn Young, 1991. "Learning by Doing and the Dynamic Effects of International Trade," NBER Working Papers 3577, National Bureau of Economic Research, Inc.
    10. Azariadis, Costas, 1996. "The Economics of Poverty Traps: Part One: Complete Markets," Journal of Economic Growth, Springer, vol. 1(4), pages 449-496, December.
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    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • O12 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies

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