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

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  • Nourry, C.

Abstract

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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    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. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    5. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    6. 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.
    7. 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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    More about this item

    Keywords

    LABOUR SUPPLY ; ECONOMIC EQUILIBRIUM ; GENERATIONS;
    All these keywords.

    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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