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Non-Convex Aggregate Technology and Optimal Economic Growth

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  • N.M. Hung
  • C. Le Van
  • P. Michel

Abstract

This paper examines a model of optimal growth where the agregation of two separate well behaved and concave production technologies exhibits a basic non-convexity. Multiple equilibria prevail in an intermediate range of interest rate. However, we show that the optimal paths monotonically converge to the one single appropriate equilibrium steady state.

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File URL: http://www.ecn.ulaval.ca/w3/recherche/cahiers/2006/0603.pdf
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Paper provided by Université Laval - Département d'économique in its series Cahiers de recherche with number 0603.

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Date of creation: 2006
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Handle: RePEc:lvl:laeccr:0603

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  1. Takashi Kamihigashi & Santanu Roy, 2006. "Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function," Economic Theory, Springer, vol. 29(2), pages 325-340, October.
  2. 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.
  3. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
  4. Askenazy, Philippe & Le Van, 1997. "A model of optimal growth strategy," CEPREMAP Working Papers (Couverture Orange) 9707, CEPREMAP.
  5. Majumdar, Mukul & Mitra, Tapan, 1982. "Intertemporal allocation with a non-convex technology: The aggregative framework," Journal of Economic Theory, Elsevier, vol. 27(1), pages 101-136, June.
  6. Majumdar, Mukul & Mitra, Tapan, 1983. "Dynamic Optimization with a Non-Convex Technology: The Case of a Linear Objective Function," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 143-51, January.
  7. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-39, May.
  8. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/416, Paris Dauphine University.
  9. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/13605, Paris Dauphine University.
  10. Takashi Kamihigashi & Santanu Roy, 2003. "A Nonsmooth, Nonconvex Model of Optimal Growth," Discussion Paper Series 158, Research Institute for Economics & Business Administration, Kobe University.
  11. Mukul Majumdar & Manfred Nermuth, 1982. "Dynamic Optimization in Non-Convex Models with Irreversible Investment: Monotonicity and Turnpike Results (Now published in Zeitschrift für National-Ökonomie (Journal of National Economics), vol.42,," STICERD - Theoretical Economics Paper Series 40, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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Cited by:
  1. Cuong Le Van & Cagri Saglam & Agah Turan, 2014. "Optimal Growth Strategy Under Dynamic Threshold," Working Papers 2014-123, Department of Research, Ipag Business School.
  2. Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2011. "Monotonicity and Continuity of the Critical Capital Stock in the Dechert-Nishimura Model," Discussion Paper Series DP2011-20, Research Institute for Economics & Business Administration, Kobe University, revised Sep 2011.

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