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Endogenous Growth in Multisector Ramsey Models

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  • Dolmas, Jim

Abstract

In this paper, the author gives sufficient conditions for the existence of endogenously growing optimal paths in a general multisector Ramsey model of optimal capital accumulation. The key assumption involves the existence of a positive vector of capital stocks, which admits strictly positive consumption and expansibility in inverse proportion to the utility discount factor. If the technology set contains the ray through such a point, in addition to standard convexity and inferiority assumptions, then optimal paths grow without bound from any strictly positive initial stocks. The result unifies a number of existing models in the growth theory literature. Copyright 1996 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Bibliographic Info

Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 37 (1996)
Issue (Month): 2 (May)
Pages: 403-21

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Handle: RePEc:ier:iecrev:v:37:y:1996:i:2:p:403-21

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Cited by:
  1. Jean-Pierre Drugeon, 2013. "On the emergence of competitive equilibrium growth cycles," Economic Theory, Springer, vol. 52(1), pages 397-427, January.
  2. Badibanga, Thaddee Mutumba, 2008. "Analyzing Growth and Welfare Effects of Public Policies in Models of Endogenous Growth with Human Capital: Evidence from South Africa," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6431, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  3. Kaganovich, Michael, 1998. "Sustained endogenous growth with decreasing returns and heterogeneous capital," Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1575-1603, August.
  4. Kamihigashi, Takashi & Roy, Santanu, 2007. "A nonsmooth, nonconvex model of optimal growth," Journal of Economic Theory, Elsevier, vol. 132(1), pages 435-460, January.
  5. Harutaka Takahashi, 2008. "Optimal balanced growth in a general multi-sector endogenous growth model with constant returns," Economic Theory, Springer, vol. 37(1), pages 31-49, October.
  6. Jensen, Martin Kaae, 2012. "Global stability and the “turnpike” in optimal unbounded growth models," Journal of Economic Theory, Elsevier, vol. 147(2), pages 802-832.
  7. Jensen, Martin Kaae, 2006. "On unbounded growth with heterogenous consumers," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 807-826, November.
  8. Michele Boldrin & David K Levine, 2005. "Perfectly Competitive Innovation (Growth)," Levine's Working Paper Archive 122247000000000886, David K. Levine.

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