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

  • Goenka, Aditya
  • Le Van, Cuong
  • Nguyen, Manh-Hung

This paper proves the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents, elastic labor supply and complete assets markets. The method of proof relies on some recent results concerning the existence of Lagrande multipliers in infinite dimensional spaces and their representation as a summable sequence and a direct application of the inward boundary fixed point theorem.

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File URL: http://www2.toulouse.inra.fr/lerna/travaux/cahiers2010/10.24.330.pdf
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Paper provided by Toulouse School of Economics (TSE) in its series TSE Working Papers with number 10-211.

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Date of creation: Dec 2010
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Handle: RePEc:tse:wpaper:23864
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Web page: http://www.tse-fr.eu/

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  1. 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.
  2. 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.
  3. 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).
  4. 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.
  5. LE VAN, Cuong & SAGLAM, H. Cagri, . "Optimal growth models and the Lagrange multiplier," CORE Discussion Papers RP -1748, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. LE VAN, Cuong & VAILAKIS, Yiannis, . "Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment," CORE Discussion Papers RP -1762, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119098, HAL.
  8. 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.
  9. 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.
  10. Cuong Le Van & H. Cagri Saglam, 2004. "Optimal growth models and the Lagrange multiplier," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00118996, HAL.
  11. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/416, Paris Dauphine University.
  12. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/13605, Paris Dauphine University.
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