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

Author

Listed:
  • Cuong Le Van

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

  • Manh-Hung Nguyen

    (INRA-LERNA, Toulouse School of Economics)

Abstract

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.

Suggested Citation

  • Cuong Le Van & Manh-Hung Nguyen, 2008. "Existence of competitive equilibrium in an optimal growth model with heterogeneous agents and endogenous leisure," Working Papers 45, Development and Policies Research Center (DEPOCEN), Vietnam.
  • Handle: RePEc:dpc:wpaper:2708
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    Cited by:

    1. is not listed on IDEAS
    2. Goenka, Aditya & Nguyen, Manh-Hung, 2020. "General existence of competitive equilibrium in the growth model with an endogenous labor–leisure choice," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 90-98.
    3. Cai, Yiyong & Kamihigashi, Takashi & Stachurski, John, 2014. "Stochastic optimal growth with risky labor supply," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 167-176.
    4. Sanou Issa, 2021. "Jealousy and Wealth Inequality: The Cases of Heterogeneous Preferences and Elastic Labor Supply," Working Papers hal-03408115, HAL.

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    Keywords

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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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