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:
  • Stefano Bosi

    (EQUIPPE - Universit de Lille 1 et EPEE)

  • Thomas Seegmuller

    (Centre d'Economie de la Sorbonne)

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
    DOI: 10.1016/j.jmateco.2010.03.002
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00143421
    Download Restriction: no

    File URL: https://doi.org/10.1016/j.jmateco.2010.03.002
    Download Restriction: no

    File URL: https://libkey.io/10.1016/j.jmateco.2010.03.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. 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.
    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. C. Nourry & A. Venditti, 2006. "Overlapping Generations Model with Endogenous Labor Supply: General Formulation," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 355-377, February.
    10. Cuong Le Van & Yiannis Vailakis, 2004. "Existence of competitive equilibrium in a single-sector growth model with elastic labour," Cahiers de la Maison des Sciences Economiques b04123, Université Panthéon-Sorbonne (Paris 1).
    11. 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, December.
    12. Philippe Michel & Pierre Pestieau, 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, April.
    13. 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.
    14. 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.
    15. Ghiglino, Christian & Sorger, Gerhard, 2002. "Poverty Traps, Indeterminacy, and the Wealth Distribution," Journal of Economic Theory, Elsevier, vol. 105(1), pages 120-139, July.
    16. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. Cuong Le Van & Yiannis Vailakis, 2003. "Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment," Post-Print halshs-00119095, HAL.
    22. 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.
    23. 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, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    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. 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(2), 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:ipg:wpaper:4 is not listed on IDEAS
    4. repec:hal:journl:hal-01302535 is not listed on IDEAS
    5. Stefano Bosi & Eleni Iliopulos & Hubert Jayet, 2011. "Optimal Immigration Policy: When The Public Good Is Rival," The Japanese Economic Review, Japanese Economic Association, vol. 62(4), pages 460-484, December.
    6. 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, Department of Economics, Indiana University Bloomington.
    7. Stefano Bosi & Cuong Le Van, 2011. "On the existence of a Ramsey equilibrium with endogenous labor supply and borrowing constraints," Post-Print halshs-00612131, HAL.
    8. repec:hal:psewpa:halshs-00793530 is not listed on IDEAS
    9. 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.
    10. repec:ipg:wpaper:201404 is not listed on IDEAS
    11. repec:ipg:wpaper:2013-004 is not listed on IDEAS
    12. Robert Becker & Ram Dubey & Tapan Mitra, 2014. "On Ramsey equilibrium: capital ownership pattern and inefficiency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 565-600, April.
    13. Bosi, Stefano & Ismael, Mohanad & Venditti, Alain, 2016. "Collateral and growth cycles with heterogeneous agents," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 327-350.
    14. 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.
    15. 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.
    16. Stephen Turnovsky & Cecilia Garcia Penalosa, 2006. "The Dynamics of Wealth and Income distribution in a Neoclassical Growth Model," Computing in Economics and Finance 2006 318, Society for Computational Economics.
    17. 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.
    18. 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.
    19. 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.
    20. Goenka, Aditya & Le Van, Cuong & Nguyen, Manh-Hung, 2012. "Existence Of Competitive Equilibrium In An Optimal Growth Model With Heterogeneous Agents And Endogenous Leisure," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 33-51, April.
    21. Bosi, Stefano & Seegmuller, Thomas, 2008. "Can heterogeneous preferences stabilize endogenous fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 32(2), pages 624-647, February.
    22. Ghiglino, Christian, 2002. "Introduction to a General Equilibrium Approach to Economic Growth," Journal of Economic Theory, Elsevier, vol. 105(1), pages 1-17, July.
    23. Turnovsky, Stephen J. & Garci­a-Peñalosa, Cecilia, 2008. "Distributional dynamics in a neoclassical growth model: The role of elastic labor supply," Journal of Economic Dynamics and Control, Elsevier, vol. 32(5), pages 1399-1431, May.
    24. Aditya Goenka & Cuong Le Van & Manh-Hung Nguyen, 2011. "A study of the dynamic of influence through differential equations," Documents de travail du Centre d'Economie de la Sorbonne 11023, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    25. GOENKA Aditya & NGUYEN Manh-Hung, 2009. "Existence of competitive equilibrium in an optimal growth model with elastic labor supply and smoothness of the policy function," LERNA Working Papers 09.21.297, LERNA, University of Toulouse.

    More about this item

    Keywords

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

    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.

    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: Lucie Label (email available below). General contact details of provider: https://edirc.repec.org/data/cenp1fr.html .

    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.