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

Author

Listed:
  • 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.

Suggested Citation

  • Kazuo Mino & Kazuo Nishimura & Koji Shimomura & Ping Wang, 2005. "Equilibrium Dynamics in Discrete-Time Endogenous Growth Models with Social Constant Returns," Discussion Papers in Economics and Business 05-34, Osaka University, Graduate School of Economics.
    • Handle: RePEc:osk:wpaper:0534
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    References listed on IDEAS

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    Cited by:

    1. Stefano Bosi & Lionel Ragot, 2009. "Time, bifurcations and economic applications," Post-Print halshs-00384513, HAL.
    2. Maxime Menuet & Alexandru Minea & Patrick Villieu, 2019. "Increasing Returns, Balanced-Budget Rules, and Aggregate Fluctuations," Post-Print hal-02315041, HAL.
    3. Maxime Menuet & Alexandru Minea & Patrick Villieu, 2019. "Endogenous fluctuations and the balanced-budget rule: taxes versus spending-based adjustment," Post-Print halshs-02315727, HAL.
    4. Bosi, Stefano & Ismael, Mohanad & Venditti, Alain, 2016. "Collateral and growth cycles with heterogeneous agents," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 327-350.
    5. Angelo Antoci & Marcello Galeotti & Paolo Russu, 2014. "Global analysis and indeterminacy in a two-sector growth model with human capital," International Journal of Economic Theory, The International Society for Economic Theory, vol. 10(4), pages 313-338, December.
    6. Daria ONORI & Francesco MAGRIS & Antoine LE RICHE, 2017. "Monetary Rules in a Two-Sector Endogenous Growth Model with Cash-in-Advance Constraint," LEO Working Papers / DR LEO 2504, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    7. Marion Davin & Karine Gente & Carine Nourry, 2013. "Should a Country Invest more in Human or Physical Capital? A Two-Sector Endogenous Growth Approach," Working Papers halshs-00822391, HAL.
    8. Maxime MENUET & Alexandru MINEA & Patrick VILLIEU, 2017. "Public Debt, Endogenous Growth Cycles and Indeterminacy," LEO Working Papers / DR LEO 2467, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    9. Antoine Riche & Francesco Magris & Daria Onori, 2020. "Monetary rules in a two-sector endogenous growth model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 1049-1100, June.
    10. 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.
    11. 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.
    12. Davin, Marion & Gente, Karine & Nourry, Carine, 2015. "Should a country invest more in human or physical capital?," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 44-52.
    13. 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.
    14. Fu, Wentao & Le Riche, Antoine, 2021. "Endogenous growth model with Bayesian learning and technology selection," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 58-71.
    15. Jean-Pierre Drugeon, 2013. "On the emergence of competitive equilibrium growth cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 397-427, January.
    16. 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.

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    More about this item

    Keywords

    Sectoral Externalities; Endogenous Growth; Dynamic Determinacy/Indeterminacy.;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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