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Equilibrium Dynamics in Discrete-Time Endogenous Growth Models with Social Constant Returns

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  • Kazuo Mino

    ()
    (Faculty of Economics, Osaka University)

  • Kazuo Nishimura

    (Kyoto University)

  • Koji Shimomura

    (Kobe University)

  • Ping Wang

    (Washington University in St. Louis and NBER)

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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File URL: http://www2.econ.osaka-u.ac.jp/library/global/dp/0534.pdf
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Bibliographic Info

Paper provided by Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP) in its series Discussion Papers in Economics and Business with number 05-34.

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Length: 30 pages
Date of creation: Dec 2005
Date of revision:
Handle: RePEc:osk:wpaper:0534

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Web page: http://www.econ.osaka-u.ac.jp/
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Keywords: Sectoral Externalities; Endogenous Growth; Dynamic Determinacy/Indeterminacy.;

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  1. 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.
  2. Nishimura, Kazuo & Venditti, Alain, 2002. "Intersectoral Externalities and Indeterminacy," Journal of Economic Theory, Elsevier, vol. 105(1), pages 140-157, July.
  3. Roger E.A. Farmer & Jang Ting Guo, 1992. "Real Business Cycles and the Animal Spirits Hypothesis," UCLA Economics Working Papers 680, UCLA Department of Economics.
  4. Koji Shimomura & Kazuo Nishimura, 2001. "Trade and Indeterminacy in a Dynamic General Equilibrium Model," Discussion Paper Series 117, Research Institute for Economics & Business Administration, Kobe University.
  5. 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.
  6. 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.
  7. Paul M Romer, 1999. "Increasing Returns and Long-Run Growth," Levine's Working Paper Archive 2232, David K. Levine.
  8. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  9. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  10. Mitra, Tapan, 1998. "On the relationship between discounting and complicated behavior in dynamic optimization models," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 421-434, January.
  11. Benhabib, Jess & Farmer, Roger E A, 1996. "Indeterminacy and Sector-specific Externalities," CEPR Discussion Papers 1403, C.E.P.R. Discussion Papers.
  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. 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.
  14. 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.).
  15. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
  16. Benhabib Jess & Rustichini Aldo, 1994. "Introduction to the Symposium on Growth, Fluctuations, and Sunspots: Confronting the Data," Journal of Economic Theory, Elsevier, vol. 63(1), pages 1-18, June.
  17. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  18. Mino, Kazuo, 1996. "Analysis of a Two-Sector Model of Endogenous Growth with Capital Income Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(1), pages 227-51, February.
  19. Eric W. Bond & Kathleen Trask & Ping Wang, 2003. "Factor Accumulation and Trade: Dynamic Comparative Advantage with Endogenous Physical and Human Capital," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 1041-1060, 08.
  20. Laing, Derek & Palivos, Theodore & Wang, Ping, 1995. "Learning, Matching and Growth," Review of Economic Studies, Wiley Blackwell, vol. 62(1), pages 115-29, January.
  21. 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.
  22. Mino, Kazuo, 2001. "Indeterminacy and Endogenous Growth with Social Constant Returns," Journal of Economic Theory, Elsevier, vol. 97(1), pages 203-222, March.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. Chryssi Giannitsarou & Alexia Anagnostopoulos, 2005. "Modeling Time and Macroeconomic Dynamics," Money Macro and Finance (MMF) Research Group Conference 2005 60, Money Macro and Finance Research Group.
  6. Jean-Pierre Drugeon, 2013. "On the emergence of competitive equilibrium growth cycles," Economic Theory, Springer, vol. 52(1), pages 397-427, January.

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