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Existence and uniqueness of steady-state equilibrium in a two-sector overlapping generations model

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  • Li, Jinlu
  • Lin, Shuanglin

Abstract

In his seminal paper Galor [A two-sector overlapping generations-model: a global characterization of the dynamical system, Econometrica 60 (1992) 1351-1386] establishes conditions for the existence of equilibrium in the two-sector overlapping generations (OLG) model. Although appealing theoretically, these conditions are implicit and not easy to apply. This paper develops new theorems on the existence and uniqueness of steady-state equilibrium in the two-sector OLG model. We provide explicit conditions on the utility and production functions for the existence and uniqueness of equilibrium, with which one only needs to check the derivatives of the production and utility functions and their interactions, without requiring solving for the savings function and its derivatives. We present detailed steps to check the existence and uniqueness of equilibrium and provide illustrative examples.

Suggested Citation

  • Li, Jinlu & Lin, Shuanglin, 2008. "Existence and uniqueness of steady-state equilibrium in a two-sector overlapping generations model," Journal of Economic Theory, Elsevier, vol. 141(1), pages 255-275, July.
  • Handle: RePEc:eee:jetheo:v:141:y:2008:i:1:p:255-275
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    11. Jones, Larry E. & Manuelli, Rodolfo E., 1992. "Finite lifetimes and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 171-197, December.
    12. Ronald Wendner, 2003. "Existence, uniqueness, and stability of equilibrium in an OLG economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(1), pages 165-174, December.
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    Cited by:

    1. Ali Khan, M. & Piazza, Adriana, 2012. "On the Mitra–Wan forestry model: A unified analysis," Journal of Economic Theory, Elsevier, vol. 147(1), pages 230-260.
    2. Zhang, Jin Shui, 2011. "The analytical solution of balanced growth of non-linear dynamic multi-sector economic model," Economic Modelling, Elsevier, vol. 28(1-2), pages 410-421, January.
    3. Wei-Bin Zhang, 2015. "A Portfolio Equilibrium Model of Gold and Capital in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(12), pages 616-627, December.
    4. Wei-Bin Zhang, 2014. "Growth and inequality examined by integrating the Walrasian general equilibrium and neoclassical growth theories," International Journal of Business and Economic Sciences Applied Research (IJBESAR), Eastern Macedonia and Thrace Institute of Technology (EMATTECH), Kavala, Greece, vol. 7(1), pages 7-32, April.
    5. Shuanglin Lin & Wei Zhang, 2009. "The effect of corruption on capital accumulation," Journal of Economics, Springer, vol. 97(1), pages 67-93, May.
    6. Zhang, Jin Shui, 2011. "The analytical solution of balanced growth of non-linear dynamic multi-sector economic model," Economic Modelling, Elsevier, vol. 28(1), pages 410-421.
    7. Zhang Wei-Bin, 2014. "Land Value and Rent Dynamics in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," Scientific Annals of Economics and Business, De Gruyter Open, vol. 61(2), pages 235-258, December.
    8. Wei-Bin ZHANG, 2015. "Tourism, Trade And Wealth Accumulation With Endogenous Income And Wealth Distribution Among Countries," EcoForum, "Stefan cel Mare" University of Suceava, Romania, Faculty of Economics and Public Administration - Economy, Business Administration and Tourism Department., vol. 4(1), pages 1-1, January.
    9. Prof. Wei-Bin Zhang, 2015. "Economic Oscillations in a Multi-Country Growth Model with Free Trade and Tourism," Eurasian Business & Economics Journal, Eurasian Academy Of Sciences, vol. 2(2), pages 1-19, July.
    10. repec:beo:journl:v:62:y:2017:i:213:p:93-128 is not listed on IDEAS
    11. Li, Jinlu & Lin, Shuanglin, 2012. "Existence And Uniqueness Of Steady-State Equilibrium In A Generalized Overlapping Generations Model," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S3), pages 299-311, November.

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