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

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  • Cuong Le Van

    ()
    (CERMSEM)

  • Yiannis Vailakis

    ()
    (CERMSEM)

Abstract

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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Bibliographic Info

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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Keywords: Single-Sector growth model; competitive equilibrium; elastic labour supply.;

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References

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  1. 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.
  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. Benhabib, J. & Farmer, R.E.A, 1991. "Indeterminacy and Increasing Returns," Papers 165, Cambridge - Risk, Information & Quantity Signals.
  4. 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.
  5. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/13605, Paris Dauphine University.
  6. Thomas F. Cooley & Gary D. Hansen, 1987. "The Inflation Tax in a Real Business Cycle Model," UCLA Economics Working Papers 496, UCLA Department of Economics.
  7. Judd, Kenneth L, 1987. "The Welfare Cost of Factor Taxation in a Perfect-Foresight Model," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 675-709, August.
  8. LE VAN, Cuong & MORHAIM, Lisa, 2001. "Optimal growth models with bounded or unbounded returns: a unifying approach," CORE Discussion Papers 2001034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. 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.
  10. LE VAN, Cuong & SAGLAM, Cagri, 2003. "Optimal growth models and the Lagrange multiplier," CORE Discussion Papers 2003083, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. repec:cup:macdyn:v:7:y:2003:i:3:p:317-32 is not listed on IDEAS
  12. 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).
  13. repec:cup:macdyn:v:1:y:1997:i:4:p:669-79 is not listed on IDEAS
  14. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
  15. Salvador Ortigueira, 1997. "A Dynamic Analysis of an Endogenous Growth Model with Leisure," Working Papers 9705, Centro de Investigacion Economica, ITAM.
  16. 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.
  17. Greenwood Jeremy & Huffman Gregory W., 1995. "On the Existence of Nonoptimal Equilibria in Dynamic Stochastic Economies," Journal of Economic Theory, Elsevier, vol. 65(2), pages 611-623, April.
  18. 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.
  19. Dana, Rose-Anne & Le Van, Cuong, 2003. "Dynamic Programming in Economics," Economics Papers from University Paris Dauphine 123456789/416, Paris Dauphine University.
  20. 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.
  21. 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.
  22. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
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Citations

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Cited by:
  1. Aditya Goenka & Cuong Le Van & Manh-Hung Nguyen, 2011. "Existence of competitive equilibrium in an optimal growth model with heterogeneous agents and endogenous leisure," Working Papers 21, Development and Policies Research Center (DEPOCEN), Vietnam.
  2. Aditya Goenka & Cuong Le Van & Manh-Hung Nguyen, 2011. "A study of the dynamic of influence through differential equations," Documents de travail du Centre d'Economie de la Sorbonne 11023, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  3. GOENKA Aditya & NGUYEN Manh-Hung, 2009. "Existence of competitive equilibrium in an optimal growth model with elastic labor supply and smoothness of the policy function," LERNA Working Papers 09.21.297, LERNA, University of Toulouse.

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