IDEAS home Printed from https://ideas.repec.org/p/mse/cesdoc/v07003a.html
   My bibliography  Save this paper

On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply

Author

Listed:

Abstract

In this paper, we address the question of deterministic cycles in a Ramsey model with heterogeneous infinite-lived agents and borrowing constraints, augmented to take into account the case of elastic labor supply. Under usual restrictions, not only we show that the steady state is unique, but also we clarify its stability properties through a local analysis. We find that, in many cases, the introduction of elastic labor supply promotes convergence by widening the range of parameters for saddle-path stability and endogenous cycles can eventually disappear. These results are robustly illustrated by means of canonical examples in which consumers have separable, KPR or homogeneous preferences.

Suggested Citation

  • Stefano Bosi & Thomas Seegmuller, 2007. "On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply," Documents de travail du Centre d'Economie de la Sorbonne v07003a, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jul 2007.
  • Handle: RePEc:mse:cesdoc:v07003a
    as

    Download full text from publisher

    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2007/V07003.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Robert J. Barro, 2013. "Inflation and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 121-144, May.
    2. Cuong Le Van & Yiannis Vailakis, 2003. "Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(4), pages 743-771, November.
    3. N. Gregory Mankiw, 2000. "The Savers-Spenders Theory of Fiscal Policy," American Economic Review, American Economic Association, vol. 90(2), pages 120-125, May.
    4. Cecilia García-Peñalosa & Stephen Turnovsky, 2006. "Growth and income inequality: a canonical model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 25-49, May.
    5. Le Van, Cuong & Nguyen, Manh-Hung & Vailakis, Yiannis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 287-317, April.
    6. Gerhard Sorger, 2000. "Income and wealth distribution in a simple model of growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 23-42.
    7. Stefano Bosi & Francesco Magris & Alain Venditti, 2003. "Competitive Equilibrium Cycles with Endogenous Labor," Documents de recherche 03-05, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    8. Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S., 1997. "Equilibrium dynamics in two-sector models of endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 115-143, January.
    9. Jean-Philippe Garnier & Kazuo Nishimura & Alain Venditti, 2007. "Intertemporal substitution in consumption, labor supply elasticity and sunspot fluctuations in continuous-time models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(4), pages 235-259.
    10. Michel, Philippe & Pestieau, Pierre, 1999. " Fiscal Policy When Individuals Differ With Regard to Altruism and Labor Supply," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(2), pages 187-203.
    11. Becker, Robert A & Foias, Ciprian, 1994. "The Local Bifurcation of Ramsey Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 719-744, August.
    12. 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.
    13. Ghiglino, Christian & Sorger, Gerhard, 2002. "Poverty Traps, Indeterminacy, and the Wealth Distribution," Journal of Economic Theory, Elsevier, vol. 105(1), pages 120-139, July.
    14. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.
    15. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
    16. Hernandez D, Alejandro, 1991. "The dynamics of competitive equilibrium allocations with borrowing constraints," Journal of Economic Theory, Elsevier, vol. 55(1), pages 180-191, October.
    17. 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.
    18. Patrick Pintus, 2006. "Indeterminacy with almost constant returns to scale: capital-labor substitution matters," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 633-649, August.
    19. Sorger, Gerhard, 1994. "On the Structure of Ramsey Equilibrium: Cycles, Indeterminacy, and Sunspots," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 745-764, August.
    20. de Hek, Paul A., 1998. "An aggregative model of capital accumulation with leisure-dependent utility," Journal of Economic Dynamics and Control, Elsevier, vol. 23(2), pages 255-276, September.
    21. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, Oxford University Press, vol. 95(2), pages 375-382.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nishimura, Kazuo & Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2016. "Public Spending As A Source Of Endogenous Business Cycles In A Ramsey Model With Many Agents," Macroeconomic Dynamics, Cambridge University Press, vol. 20(02), pages 504-524, March.
    2. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    3. repec:hal:journl:halshs-01020635 is not listed on IDEAS
    4. Bosi, Stefano & Ismael, Mohanad & Venditti, Alain, 2016. "Collateral and growth cycles with heterogeneous agents," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 327-350.
    5. repec:hal:journl:halshs-00544332 is not listed on IDEAS
    6. Bosi, Stefano & Seegmuller, Thomas, 2010. "On the role of progressive taxation in a Ramsey model with heterogeneous households," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 977-996, November.
    7. Borissov, Kirill & Dubey, Ram Sewak, 2015. "A characterization of Ramsey equilibrium in a model with limited borrowing," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 67-78.
    8. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    9. Stefano Bosi & Cuong Le Van, 2011. "On the existence of a Ramsey equilibrium with endogenous labor supply and borrowing constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00612131, HAL.
    10. repec:ipg:wpaper:201404 is not listed on IDEAS
    11. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2015. "On the (de)stabilizing effect of public debt in a Ramsey model with heterogeneous agents," International Journal of Economic Theory, The International Society for Economic Theory, vol. 11(1), pages 7-24, March.
    12. repec:hal:journl:halshs-00331299 is not listed on IDEAS
    13. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On existence, efficiency and bubbles of Ramsey equilibrium with borrowing constraints," Caepr Working Papers 2012-001, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
    14. repec:hal:psewpa:halshs-00793530 is not listed on IDEAS
    15. Marcelo Arbex & Enlinson Mattos, 2017. "Optimal Paternalistic Health and Human Capital Policies," Working Papers 1709, University of Windsor, Department of Economics.
    16. repec:ipg:wpaper:2013-004 is not listed on IDEAS
    17. Riham BARBAR & Jean-Paul BARINCI, "undated". "Consumption Externalities, Endogenous Discounting, Heterogeneity and Cycles," EcoMod2009 21500008, EcoMod.
    18. Kamihigashi, Takashi, 2018. "A Simple optimality-based no-bubble theorem for deterministic sequential economies with strictly monotone preferences," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 36-41.
    19. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2013. "On Existence and Bubbles of Ramsey Equilibrium with Borrowing Constraints," Working Papers halshs-00793530, HAL.
    20. Mohanad ISMAEL, "undated". "Social Inequalities and Macroeconomic Instability," EcoMod2009 21500044, EcoMod.
    21. repec:hal:journl:halshs-00612131 is not listed on IDEAS
    22. repec:ipg:wpaper:4 is not listed on IDEAS

    More about this item

    Keywords

    Saddle-path stability; endogenous cycles; heterogeneous agents; endogenous labor supply; borrowing constraint.;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D30 - Microeconomics - - Distribution - - - General
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:mse:cesdoc:v07003a. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Lucie Label). General contact details of provider: http://edirc.repec.org/data/cenp1fr.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.