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Equilibrium dynamics in discrete-time endogenous growth models with social constant returns

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  • Kazuo Mino

    ()

  • Kazuo Nishimura
  • Koji Shimomura
  • Ping Wang

Abstract

The existing literature establishes possibilities of local determinacy and dynamic indeterminacy in continuous-time two-sector models of endogenous growth with social constant returns. The necessary and sufficient condition for local determinacy is that the factor intensity rankings of the two sectors are consistent in the private/physical and social/value sense. The necessary and sufficient condition for dynamic indeterminacy is that the final (consumable) good sector is human (pure) capital intensive in the private sense but physical (consumable) capital intensive in the social sense. This paper re-examines the dynamic properties in a discrete-time endogenous growth framework and finds that conventional propositions obtained in continuous time need not be valid. It is shown that the established necessary and sufficient conditions on factor intensity rankings for local determinacy and dynamic indeterminacy are neither sufficient nor necessary, as the magnitudes of time preference and capital depreciation rates both play essential roles.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 34 (2008)
Issue (Month): 1 (January)
Pages: 1-23

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Handle: RePEc:spr:joecth:v:34:y:2008:i:1:p:1-23

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Related research

Keywords: Sectoral externalities; Endogenous growth; Dynamic determinacy/indeterminacy; E32; J24; O40;

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  1. Laing, Derek & Palivos, Theodore & Wang, Ping, 1995. "Learning, Matching and Growth," Review of Economic Studies, Wiley Blackwell, vol. 62(1), pages 115-29, January.
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  6. Stephanie Schmitt-Grohe, 1995. "Comparing four models of aggregate fluctuations due to self-fulfilling expectations," Finance and Economics Discussion Series 95-17, Board of Governors of the Federal Reserve System (U.S.).
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  12. Kazuo Nishimura & Jess Benhabib & Alain Venditti, 2002. "Indeterminacy and cycles in two-sector discrete-time model," Economic Theory, Springer, vol. 20(2), pages 217-235.
  13. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  14. Eric W. Bond & Kathleen Trask & Ping Wang, 1996. "Factor Accumulation and Trade: Dynamic Comparative Advantage with Endogenous Physical and Human Capital," Vanderbilt University Department of Economics Working Papers 0031, Vanderbilt University Department of Economics, revised Aug 2000.
  15. Jess Benhabib & Kazuo Nishimura, 1999. "Indeterminacy Arising in Multi-sector Economies," The Japanese Economic Review, Japanese Economic Association, vol. 50(4), pages 485-506, December.
  16. Nishimura, Kazuo & Venditti, Alain, 2002. "Intersectoral Externalities and Indeterminacy," Journal of Economic Theory, Elsevier, vol. 105(1), pages 140-157, July.
  17. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
  18. Mino, Kazuo, 2001. "Indeterminacy and Endogenous Growth with Social Constant Returns," Journal of Economic Theory, Elsevier, vol. 97(1), pages 203-222, March.
  19. Eric W. Bond & Ping Wang & Chong K. Yip, 1993. "A general two-sector model of endogenous growth with human and physical capital: balanced growth and transitional dynamics," Research Paper 9324, Federal Reserve Bank of Dallas.
  20. Jess Benhabib & Qinglai Meng & Kazuo Nishimura, 2000. "Indeterminacy under Constant Returns to Scale in Multisector Economies," Econometrica, Econometric Society, vol. 68(6), pages 1541-1548, November.
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  22. Baierla, Gary & Nishimura, Kazuo & Yano, Makoto, 1998. "The role of capital depreciation in multi-sectoral models," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 467-479, January.
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Citations

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Cited by:
  1. Anagnostopoulos, Alexis & Giannitsarou, Chryssi, 2010. "Modelling Time And Macroeconomic Dynamics," CEPR Discussion Papers 8050, C.E.P.R. Discussion Papers.
  2. Marion Davin & Karine Gente & Carine Nourry, 2013. "Should a Country Invest more in Human or Physical Capital? A Two-Sector Endogenous Growth Approach," AMSE Working Papers 1330, Aix-Marseille School of Economics, Marseille, France, revised May 2013.
  3. Jean-Pierre Drugeon, 2013. "On the emergence of competitive equilibrium growth cycles," Economic Theory, Springer, vol. 52(1), pages 397-427, January.
  4. Carboni, Oliviero A. & Russu, Paolo, 2013. "Linear production function, externalities and indeterminacy in a capital-resource growth model," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 422-428.
  5. Junko Doi & Kazumichi Iwasa & Koji Shimomura, 2006. "Indeterminacy in the free-trade world," Discussion Paper Series 187, Research Institute for Economics & Business Administration, Kobe University.
  6. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2011. "Poverty trap and global indeterminacy in a growth model with open-access natural resources," Journal of Economic Theory, Elsevier, vol. 146(2), pages 569-591, March.

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