IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v25y2001i10p1647-1663.html
   My bibliography  Save this article

Stability of equilibria in the overlapping generations model with endogenous labor supply

Author

Listed:
  • Nourry, Carine

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 labor supply. The paper derives some necessary and sufficient conditions under which a steady-state equilibrium is a sink, a saddle point or a source. Under a simple condition on the labor supply elasticity, it is also shown that the local stability condition of the standard Diamond model can be generalized in order to become a necessary and sufficient condition for the saddle point property of the steady-state equilibrium. © 2001 Elsevier Science B.V.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • 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.
    • Handle: RePEc:eee:dyncon:v:25:y:2001:i:10:p:1647-1663
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(99)00067-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    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. 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.
    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. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nourry, Carine & Venditti, Alain, 2001. "Determinacy of Equilibrium in an Overlapping Generations Model with Heterogeneous Agents," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 230-255, January.
    2. Édouard Challe, 2004. "Équilibres multiples et volatilité boursière," Revue d'Économie Financière, Programme National Persée, vol. 74(1), pages 105-123.
    3. Gardini, Laura & Hommes, Cars & Tramontana, Fabio & de Vilder, Robin, 2009. "Forward and backward dynamics in implicitly defined overlapping generations models," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 110-129, August.
    4. Palmisani, Cesare, 2008. "Una rassegna su alcuni modelli di crescita economica tipo Solow con dinamica caotica," MPRA Paper 9506, University Library of Munich, Germany.
    5. Antoine Le Riche, 2016. "Macroeconomic Volatility and Trade in OLG Economies," Working Papers halshs-01079773, HAL.
    6. John Geanakoplos, 2008. "Overlapping Generations Models of General Equilibrium," Cowles Foundation Discussion Papers 1663, Cowles Foundation for Research in Economics, Yale University.
    7. Fanti, Luciano & Gori, Luca, 2011. "Public health spending, old-age productivity and economic growth: Chaotic cycles under perfect foresight," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 137-151, April.
    8. Georges, Christophre, 2003. "Adjustment costs, learning, and indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 101-116, October.
    9. Tarek Coury & Yi Wen, 2009. "Global indeterminacy in locally determinate real business cycle models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 49-60, March.
    10. Pintus, Patrick & Sands, Duncan & de Vilder, Robin, 2000. "On the transition from local regular to global irregular fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 247-272, February.
    11. Leo Kaas & Leopold Von Thadden, 2003. "Unemployment, Factor Substitution and Capital Formation," German Economic Review, Verein für Socialpolitik, vol. 4(4), pages 475-495, November.
    12. Tomohiro HIRANO & Joseph E. Stiglitz, 2021. "Land Speculation and Wobbly Dynamics with Endogenous Phase Transitions," CIGS Working Paper Series 21-009E, The Canon Institute for Global Studies.
    13. 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.
    14. Gokan, Yoichi, 2008. "Alternative government financing and aggregate fluctuations driven by self-fulfilling expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 32(5), pages 1650-1679, May.
    15. Roger E. A. Farmer, 2018. "Pricing Assets in a Perpetual Youth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 106-124, October.
    16. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2022. "Expectations, self-fulfilling prophecies and the business cycle," Working Papers hal-03923946, HAL.
    17. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    18. Paulo B. Brito & Luís F. Costa & Huw D. Dixon, 2017. "From Sunspots to Black Holes: Singular Dynamics in Macroeconomic Models," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 41-70, Springer.
    19. Roger Guesnerie, 2006. "General Equilibrium, Co-ordination and Multiplicity on Spot Markets," Chapters, in: Richard Arena & Agnès Festré (ed.), Knowledge, Beliefs and Economics, chapter 4, Edward Elgar Publishing.
    20. Dufourt, Frédéric & Nishimura, Kazuo & Venditti, Alain, 2015. "Indeterminacy and sunspots in two-sector RBC models with generalized no-income-effect preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1056-1080.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:25:y:2001:i:10:p:1647-1663. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.