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On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply

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  • Stefano Bosi

    ()
    (EQUIPPE - Université 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.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2007/V07003.pdf
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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number v07003a.

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Length: 23 pages
Date of creation: Jan 2007
Date of revision: Jul 2007
Handle: RePEc:mse:cesdoc:v07003a

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

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References

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  1. N. Gregory Mankiw, 1999. "The Savers-Spenders Theory of Fiscal Policy," Harvard Institute of Economic Research Working Papers 1888, Harvard - Institute of Economic Research.
  2. 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.
  3. Sorger, Gerhard, 1994. "On the Structure of Ramsey Equilibrium: Cycles, Indeterminacy, and Sunspots," Economic Theory, Springer, vol. 4(5), pages 745-64, August.
  4. Jean-Philippe Garnier & Kazuo Nishimura & Alain Venditti, 2007. "Intertemporal Substitution In Consumption, Labor Supply Elasticity And Sunspot Fluctuations In Continuous-Time Models," Working Papers halshs-00352367, HAL.
  5. Cuong Le Van & Manh-Hung Nguyen & Yiannis Vailakis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00101237, HAL.
  6. 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.
  7. Becker, Robert A & Foias, Ciprian, 1994. "The Local Bifurcation of Ramsey Equilibrium," Economic Theory, Springer, vol. 4(5), pages 719-44, August.
  8. Cecilia Garcia-Penalosa & Stephen Turnovsky, 2005. "Growth and Income Inequality: A Canonical Model," Working Papers UWEC-2006-04-P, University of Washington, Department of Economics, revised Jan 2005.
  9. 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.
  10. Gerhard Sorger, 2000. "Income and wealth distribution in a simple model of growth," Economic Theory, Springer, vol. 16(1), pages 23-42.
  11. Patrick Pintus, 2006. "Indeterminacy with almost constant returns to scale: capital-labor substitution matters," Economic Theory, Springer, vol. 28(3), pages 633-649, 08.
  12. 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.
  13. Robert J. Barro, 2012. "Inflation and Economic Growth," CEMA Working Papers 568, China Economics and Management Academy, Central University of Finance and Economics.
  14. GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997. "Capital-labor substitution and competitive nonlinear endogenous business cycles," CORE Discussion Papers 1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. Cuong LE VAN & Yiannis VALAKIS, 2001. "Existence of a competitive equilibrium in one sector growth model with heterogeneous agents and irreversible investment," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2001018, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  16. 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.
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  18. 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.
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Citations

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Cited by:
  1. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Public Spending as a Source of Endogenous Business Cycles in a Ramsey Model with Many Agents," AMSE Working Papers 1314, Aix-Marseille School of Economics, Marseille, France, revised 08 Feb 2013.
  2. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2013. "On Existence and Bubbles of Ramsey Equilibrium with Borrowing Constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00793530, HAL.
  3. repec:hal:psewpa:halshs-00793530 is not listed on IDEAS
  4. Stefano Bosi & Thomas Seegmuller, 2008. "On the Role of Progressive Taxation in a Ramsey Model with Heterogeneous Households," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00331299, HAL.
  5. Stefano Bosi & Cuong Le Van, 2011. "On the Existence of a Ramsey Equilibrium with Endogenous Labor Supply and Borrowing Constraints," Working Papers 24, Development and Policies Research Center (DEPOCEN), Vietnam.
  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, Economics Department, Indiana University Bloomington.
  7. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2014. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01020635, HAL.
  8. repec:hal:journl:halshs-00331299 is not listed on IDEAS
  9. repec:ipg:wpaper:201404 is not listed on IDEAS
  10. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2014. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Documents de travail du Centre d'Economie de la Sorbonne 14040, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  11. repec:hal:journl:halshs-00612131 is not listed on IDEAS
  12. repec:ipg:wpaper:4 is not listed on IDEAS
  13. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2014. "On the (de)Stabilizing Effect of Public Debt In a Ramsey Model with Heterogeneous Agents," Discussion Paper Series DP2014-03, Research Institute for Economics & Business Administration, Kobe University.
  14. 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.

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