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On the Ramsey Equilibrium with heterogeneous consumers and endogenous labor supply

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  • Stefano Bosi

    ()
    (EQUIPPE - Université Lille I - Sciences et technologies, EPEE - Université d'Evry-Val d'Essonne)

  • Thomas Seegmuller

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

Abstract

In this paper, we address the stability issue, stressing the role of labor supply, in a Ramsey model with heterogeneous households subject to borrowing constraints. Making labor supply endogenous leads us to prove the existence of two kinds of steady state : the one where everybody supplies labor, the other where only the most patient agent refrains from working. Focusing on the latter and going beyond models with inelastic labor supply, we show how preferences of impatient agents affect the saddle-path stability and the occurence of endogenous cycles. When their elasticity of intertemporal substitution in consumption exceeds one, instability and cycles are less likely, requiring lower degrees of capital- labor substitution. Conversely, elasticity values below one promote the emergence of fluctuations.

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Bibliographic Info

Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00143421.

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Date of creation: Jun 2007
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Handle: RePEc:hal:cesptp:halshs-00143421

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00143421
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Related research

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

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References

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  1. 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.
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  7. Sorger, Gerhard, 1994. "On the Structure of Ramsey Equilibrium: Cycles, Indeterminacy, and Sunspots," Economic Theory, Springer, vol. 4(5), pages 745-64, August.
  8. 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.
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  10. 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, vol. 22(4), pages 743-771, November.
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  12. 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.
  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.
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  15. 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.
  16. N. Gregory Mankiw, 2000. "The Savers-Spenders Theory of Fiscal Policy," NBER Working Papers 7571, National Bureau of Economic Research, Inc.
  17. 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.
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Citations

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Cited by:
  1. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On Existence and Bubbles of Ramsey Equilibrium with Borrowing Constraints," AMSE Working Papers 1231, Aix-Marseille School of Economics, Marseille, France, revised 11 Nov 2012.
  2. repec:ipg:wpaper:4 is not listed on IDEAS
  3. repec:hal:journl:halshs-00612131 is not listed on IDEAS
  4. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2013. "On existence, effciency and bubbles of Ramsey equilibrium with borrowing constraints," Working Papers 15, Development and Policies Research Center (DEPOCEN), Vietnam.
  5. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2013. "On Existence and Bubbles of Ramsey Equilibrium with Borrowing Constraints," PSE Working Papers halshs-00793530, HAL.
  6. Stefano Bosi & Thomas Seegmuller, 2008. "On the Role of Progressive Taxation in a Ramsey Model with Heterogeneous Households," Post-Print halshs-00331299, HAL.
  7. 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.
  8. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On Existence, Efficiency and Bubbles of Ramsey Equilibrium with Borrowing Constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00793530, HAL.
  9. 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.
  10. 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," Working Papers halshs-00796698, HAL.
  11. 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.
  12. repec:ipg:wpaper:201404 is not listed on IDEAS

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