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On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply

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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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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  1. N. Gregory Mankiw, 2000. "The Savers-Spenders Theory of Fiscal Policy," American Economic Review, American Economic Association, vol. 90(2), pages 120-125, May.
  2. MICHEL, Philippe & PESTIEAU, Pierre, . "Fiscal policy when individuals differ with regard to altruism and labor supply," CORE Discussion Papers RP -1381, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  4. 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.
  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.
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  9. Antonio Ladron de Guevara & Salvador Ortigueira & Manuel S. Santos, 1994. "Equilibrium Dynamics in Two-Sector Models of Endogenous Growth," Working Papers 9403, Centro de Investigacion Economica, ITAM.
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  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.
  12. Robert J. Barro, 1995. "Inflation and Economic Growth," NBER Working Papers 5326, National Bureau of Economic Research, Inc.
  13. Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Centre de Recherche en Economie et Statistique.
  14. Sorger, Gerhard, 1994. "On the Structure of Ramsey Equilibrium: Cycles, Indeterminacy, and Sunspots," Economic Theory, Springer, vol. 4(5), pages 745-64, August.
  15. 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.
  16. Ghiglino, Christian & Sorger, Gerhard, 2002. "Poverty Traps, Indeterminacy, and the Wealth Distribution," Journal of Economic Theory, Elsevier, vol. 105(1), pages 120-139, July.
  17. Patrick Pintus, 2006. "Indeterminacy with almost constant returns to scale: capital-labor substitution matters," Economic Theory, Springer, vol. 28(3), pages 633-649, 08.
  18. 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.
  19. Becker, Robert A & Foias, Ciprian, 1994. "The Local Bifurcation of Ramsey Equilibrium," Economic Theory, Springer, vol. 4(5), pages 719-44, August.
  20. 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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