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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.

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Paper provided by Universite Aix-Marseille III in its series G.R.E.Q.A.M. with number 98a01.

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Length: 24 pages
Date of creation: 1998
Date of revision:
Handle: RePEc:fth:aixmeq:98a01
Contact details of provider: Postal: G.R.E.Q.A.M., (GROUPE DE RECHERCHE EN ECONOMIE QUANTITATIVE D'AIX MARSEILLE), CENTRE DE VIEILLE CHARITE, 2 RUE DE LA CHARITE, 13002 MARSEILLE.
Phone: 04.91.14.07.70
Fax: 04.91.90.02.27
Web page: http://www.greqam.fr/
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  1. Timothy J. Kehoe & David K. Levine, 1982. "Comparitive Statics and Perfect Foresight in Infinite Horizon Economies," UCLA Economics Working Papers 259, UCLA Department of Economics.
  2. repec:fth:inseep:9728 is not listed on IDEAS
  3. de Vilder, Robin, 1996. "Complicated Endogenous Business Cycles under Gross Substitutability," Journal of Economic Theory, Elsevier, vol. 71(2), pages 416-442, November.
  4. 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.
  5. 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.
  6. J. A. Mirrlees, 1976. "Optimal Tax Theory: A Synthesis," Working papers 176, Massachusetts Institute of Technology (MIT), Department of Economics.
  7. 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.
  8. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-86, November.
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