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Stability of Equilibria in the Overlapping Generations Model with Endogenous Labor Supply


  • Nourry, C.


This paper looks at the issue of existence and stability of steady state equilibria in an overlapping generations model with productive capital (a-la Diamond) augmented to include endogenous labour supply. The paper derives necessary and sufficient conditions under which a steady state equilbrium is stable. Furthermore, a key result of this paper appears to be this: if labor supply is increasing in the capital-labor ratio at some steady state equilibrium, then, the usual conditions required for stability of the nontrivial steady state in the standard Diamond model are enough to guarantee stability of that steady state in the Diamond model augmented by endogenous labour supply.

Suggested Citation

  • Nourry, C., 1998. "Stability of Equilibria in the Overlapping Generations Model with Endogenous Labor Supply," G.R.E.Q.A.M. 98a01, Universite Aix-Marseille III.
  • Handle: RePEc:fth:aixmeq:98a01

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    References listed on IDEAS

    1. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
    2. de Vilder, Robin, 1996. "Complicated Endogenous Business Cycles under Gross Substitutability," Journal of Economic Theory, Elsevier, vol. 71(2), pages 416-442, November.
    3. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    4. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
    5. repec:crs:wpaper:9728 is not listed on IDEAS
    6. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    7. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    8. Muller, Walter III & Woodford, Michael, 1988. "Determinacy of equilibrium in stationary economies with both finite and infinite lived consumers," Journal of Economic Theory, Elsevier, vol. 46(2), pages 255-290, December.
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    Cited by:

    1. Potrafke, Niklas, 2010. "The growth of public health expenditures in OECD countries: Do government ideology and electoral motives matter?," Journal of Health Economics, Elsevier, vol. 29(6), pages 797-810, December.
    2. Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2007. "Indeterminacy in dynamic models: When Diamond meets Ramsey," Journal of Economic Theory, Elsevier, vol. 134(1), pages 513-536, May.
    3. LG Deidda & F. Cerina, 2002. "Do we need more time for leisure?," Working Paper CRENoS 200203, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    4. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, April.
    5. Bosi, Stefano & Seegmuller, Thomas, 2010. "On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 475-492, July.
    6. Jacques Le Cacheux & Vincent Touzé, 2003. "Vieillissement et richesse des nations," Revue de l'OFCE, Presses de Sciences-Po, vol. 84(1), pages 47-91.
    7. Kazi Iqbal & Stephen J. Turnovsky, 2008. "Intergenerational Allocation of Government Expenditures: Externalities and Optimal Taxation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(1), pages 27-53, February.
    8. Stelter, Robert, 2014. "Over-aging: Are present human populations too old?," Thuenen-Series of Applied Economic Theory 137, University of Rostock, Institute of Economics.
    9. Andreas Bachmann & Kaspar Wüthrich, 2013. "Evaluating pay-as-you-go social security systems," Diskussionsschriften dp1310, Universitaet Bern, Departement Volkswirtschaft.
    10. Birgit Bednar-Friedl & Karl Farmer, 2013. "Time consuming resource extraction in an overlapping generations economy with capital," Journal of Economics, Springer, vol. 110(3), pages 203-224, November.
    11. Haruyama, Tetsugen & Park, Hyun, 2017. "A simple dynastic economy with parental time investment in children’s patience," Economic Modelling, Elsevier, vol. 61(C), pages 235-247.
    12. Andersen, Torben M. & Bhattacharya, Joydeep, 2013. "Unfunded Pensions And Endogenous Labor Supply," Macroeconomic Dynamics, Cambridge University Press, vol. 17(05), pages 971-997, July.
    13. Guido Cazzavillan & Patrick A. Pintus, 2004. "Robustness of Multiple Equilibria in OLG Economies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 456-475, April.
    14. Luca Gori & Mauro Sodini, 2011. "Nonlinear Dynamics in an OLG Growth Model with Young and Old Age Labour Supply: The Role of Public Health Expenditure," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 261-275, October.
    15. Shi, Lisi & Suen, Richard M.H., 2014. "Asset bubbles in an overlapping generations model with endogenous labor supply," Economics Letters, Elsevier, vol. 123(2), pages 164-167.
    16. Vincent Touzé, 2005. "Fiscal incidence of unfunded pension system: an analytical investigation," Documents de Travail de l'OFCE 2005-03, Observatoire Francais des Conjonctures Economiques (OFCE).
    17. Stelter, Robert, 2016. "Over-aging — Are present-day human populations too old?," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 116-143.
    18. repec:spo:wpecon:info:hdl:2441/2087 is not listed on IDEAS
    19. Thibault, Emmanuel, 2004. "The power of love," Economics Letters, Elsevier, vol. 84(2), pages 183-189, August.

    More about this item



    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models


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