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Existence of competitive equilibrium in a single-sector growth model with elastic labour

We prove existence of competitive equilibrium in a version of a Ramsey model in which leisure enters the utility function. The analysis is carried out by means of a direct and technically simple approach that allows us to obtain detailed results concerning the behaviour of equilibrium allocations and prices.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/B04123.pdf
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Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b04123.

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Length: 33 pages
Date of creation: Dec 2004
Date of revision:
Handle: RePEc:mse:wpsorb:b04123
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  1. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/13605, Paris Dauphine University.
  2. DURAN, Jorge & LE VAN, Cuong, 2000. "A simple proof of existence of equilibrium in a one sector growth model with bounded or unbounded returns from below," CORE Discussion Papers 2000050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Coleman, Wilbur II, 1997. "Equilibria in Distorted Infinite-Horizon Economies with Capital and Labor," Journal of Economic Theory, Elsevier, vol. 72(2), pages 446-461, February.
  4. Benhabib, Jess & Farmer, Roger E.A., 1991. "Indeterminacy and Increasing Returns," Working Papers 91-59, C.V. Starr Center for Applied Economics, New York University.
  5. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
  6. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-48, September.
  7. 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).
  8. 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).
  9. repec:cup:macdyn:v:7:y:2003:i:3:p:317-32 is not listed on IDEAS
  10. Ryder, Harl E & Stafford, Frank P & Stephan, Paula E, 1976. "Labor, Leisure and Training over the Life Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(3), pages 651-74, October.
  11. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-66, September.
  12. Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S, 1999. "A Two-Sector Model of Endogenous Growth with Leisure," Review of Economic Studies, Wiley Blackwell, vol. 66(3), pages 609-31, July.
  13. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
  14. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  15. Manjira Datta & Leonard Mirman & Kevin Reffett, . "Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor," Working Papers 2132846, Department of Economics, W. P. Carey School of Business, Arizona State University.
  16. Le Van, C. & Morhaim, L., 2000. "Optimal Growth Models with Bounded or Unbounded Returns : a Unifying Approach," Papiers d'Economie Mathématique et Applications 2000.64, Université Panthéon-Sorbonne (Paris 1).
  17. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/416, Paris Dauphine University.
  18. Salvador Ortigueira, 1997. "A Dynamic Analysis of an Endogenous Growth Model with Leisure," Working Papers 9705, Centro de Investigacion Economica, ITAM.
  19. Kenneth L. Judd, 1984. "The Welfare Cost of Factor Taxation in a Perfect Foresight Model," Discussion Papers 643, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  20. Jeremy Greenwood & Gregory W. Huffman, 1993. "On the existence of nonoptimal equilibria in dynamic stochastic economies," Research Paper 9330, Federal Reserve Bank of Dallas.
  21. repec:cup:macdyn:v:1:y:1997:i:4:p:669-79 is not listed on IDEAS
  22. Aliprantis, Charalambos D. & Border, Kim C. & Burkinshaw, Owen, 1997. "New Proof Of The Existence Of Equilibrium In A Single-Sector Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 1(04), pages 669-679, December.
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