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Existence of competitive equilibrium in an optimal growth model with heterogeneous agents and endogenous leisure

  • Cuong Le Van

    (Centre d'Economie de la Sorbonne, Universite Paris-1, France)

  • Manh-Hung Nguyen

    ()

    (INRA-LERNA, Toulouse School of Economics)

This paper proves the existence of competitive equilibrium in a single sector dynamic economy with heterogeneous agents and elastic labor supply. The method of proof relies on some recent results concerning the existence of Lagrange multipliers in inï¬nite dimensional spaces and their representation as a summable sequence and a direct application of the Brouwer ï¬xed point theorem.

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Paper provided by Development and Policies Research Center (DEPOCEN), Vietnam in its series Working Papers with number 27.

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Length: 23 pages
Date of creation: Jun 2008
Date of revision:
Handle: RePEc:dpc:wpaper:2708
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  1. Cuong Le Van & Manh Hung Nguyen & Yiannis Vailakis, 2005. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Cahiers de la Maison des Sciences Economiques b05096, Université Panthéon-Sorbonne (Paris 1).
  2. 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).
  3. Kim, K. H., 1990. "Existence and optimality of competitive equilibria. : C.D. Aliprantis, D.J. Brown, and O. Burkinshaw, Berlin: Springer-Verlag, 1989, 284 pages, 110 DM," Mathematical Social Sciences, Elsevier, vol. 20(2), pages 197-197, October.
  4. Le Van, Cuong & Cagri Saglam, H., 2004. "Optimal growth models and the Lagrange multiplier," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 393-410, June.
  5. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/13605, Paris Dauphine University.
  6. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
  7. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/416, Paris Dauphine University.
  8. Peleg, Bezalel & Yaari, Menahem E, 1970. "Markets with Countably Many Commodities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(3), pages 369-77, October.
  9. Becker, Robert A, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, MIT Press, vol. 95(2), pages 375-82, September.
  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).
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