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

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Author Info
Cuong Le Van () (CERMSEM)
Yiannis Vailakis () (CERMSEM)

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

Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
    Other versions:
  2. Benhabib, Jess & Nishimura, Kazuo, 1983. "Competitive Equilibrium Cycles," Working Papers 83-30, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  3. repec:cup:macdyn:v:1:y:1997:i:4:p:669-79 is not listed on IDEAS
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  5. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June. [Downloadable!] (restricted)
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  6. 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. [Downloadable!]
  7. 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. [Downloadable!] (restricted)
    Other versions:
  8. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November. [Downloadable!] (restricted)
    Other versions:
  9. Datta, Manjira & Mirman, Leonard J. & Reffett, Kevin L., 2002. "Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor," Journal of Economic Theory, Elsevier, vol. 103(2), pages 377-410, April. [Downloadable!] (restricted)
    Other versions:
  10. 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. [Downloadable!] (restricted)
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  11. Salvador Ortigueira, 1997. "A Dynamic Analysis of an Endogenous Growth Model with Leisure," Working Papers 9705, Centro de Investigacion Economica, ITAM.
  12. Le Van, Cuong & Morhaim, Lisa, 2002. "Optimal Growth Models with Bounded or Unbounded Returns: A Unifying Approach," Journal of Economic Theory, Elsevier, vol. 105(1), pages 158-187, July. [Downloadable!] (restricted)
    Other versions:
  13. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August. [Downloadable!] (restricted)
  14. 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. [Downloadable!] (restricted)
    Other versions:
  15. Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S, 1999. "A Two-Sector Model of Endogenous Growth with Leisure," Review of Economic Studies, Blackwell Publishing, vol. 66(3), pages 609-31, July. [Downloadable!] (restricted)
    Other versions:
  16. 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. [Downloadable!] (restricted)
  17. 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. [Downloadable!] (restricted)
  18. repec:cup:macdyn:v:7:y:2003:i:3:p:317-32 is not listed on IDEAS
  19. 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. [Downloadable!] (restricted)
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  20. Dur n, Jorge & Le Van, Cuong, 2003. "Simple Proof Of Existence Of Equilibrium In A One-Sector Growth Model With Bounded Or Unbounded Returns From Below," Macroeconomic Dynamics, Cambridge University Press, vol. 7(03), pages 317-332, June. [Downloadable!]
  21. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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," Working Papers 09.21.297, LERNA, University of Toulouse. [Downloadable!]
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