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Overlapping Generations Model with EndogenousLabor Supply: General Formulation

Author

Listed:
  • Alain Venditti
  • Carine Nourry

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper develops a one-sector overlapping generations modelwith endogenous labor supply and nonseparable preferences. It demonstratesthat local indeterminacy arises easily under gross substitutability as soon asthere exist multiple steady states. We show also that, depending on whetherleisure and second-period consumption are gross substitutes, local indeterminacyholds for very different parameter configurations. If gross substitutabilityis satisfied, the existence of multiple equilibrium paths requires the share ofcapital in the total income to be strong enough with respect to the elasticity ofcapital-labor substitution. On the other hand, if gross substitutability is violated,local indeterminacy necessitates the share of capital in the total incometo be weak enough with respect to the elasticity of capital-labor substitution.

Suggested Citation

  • Alain Venditti & Carine Nourry, 2006. "Overlapping Generations Model with EndogenousLabor Supply: General Formulation," Post-Print halshs-00280000, HAL.
    • Handle: RePEc:hal:journl:halshs-00280000
    DOI: 10.1007/s10957-006-9026-7
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    References listed on IDEAS

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    1. Nourry, Carine, 2001. "Stability of equilibria in the overlapping generations model with endogenous labor supply," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1647-1663, October.
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    5. 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.
    6. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448, Elsevier.
    7. 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.
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    Cited by:

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    2. 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.
    3. 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.
    4. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    5. Seegmuller, Thomas, 2008. "Taste For Variety And Endogenous Fluctuations In A Monopolistic Competition Model," Macroeconomic Dynamics, Cambridge University Press, vol. 12(4), pages 561-577, September.
    6. Andersen, Torben M. & Bhattacharya, Joydeep, 2013. "Unfunded Pensions And Endogenous Labor Supply," Macroeconomic Dynamics, Cambridge University Press, vol. 17(5), pages 971-997, July.
    7. 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.
    8. Voosholz, Frauke, 2013. "Inter-generational distribution of resources in a model of economic growth: Taking the land vs. food trade-off into account," CAWM Discussion Papers 70, University of Münster, Münster Center for Economic Policy (MEP).
    9. Guido Cazzavillan & Patrick A. Pintus, 2006. "Endogenous business cycles and dynamic inefficiency," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3‐4), pages 279-294, September.
    10. Anna Agliari & George Vachadze, 2011. "Homoclinic and Heteroclinic Bifurcations in an Overlapping Generations Model with Credit Market Imperfection," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 241-260, October.
    11. Gori, Luca & Sodini, Mauro, 2020. "Endogenous labour supply, endogenous lifetime and economic development," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 238-259.

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