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Closed-Form Solution for a Two-Sector Endogenous Growth Model with two Controls

Author

Listed:
  • J. AZNAR-MARQUEZ

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES) and Universitat de Valencia (Spain))

  • J.R. Ruiz-Tamarit

    (Universitat de Valencia (Spain))

Abstract

In this paper we show a method for solving in closed form a particular family of four-dimension non-linear modified Hamiltonian dynamic systems, with two states and two co-states and two co-states, which arises from a two-sector endogenous growth model where the physical capital stock is combined with a renewable natural capital stock as essential inputs for production

Suggested Citation

  • J. AZNAR-MARQUEZ & J.R. Ruiz-Tamarit, 2002. "Closed-Form Solution for a Two-Sector Endogenous Growth Model with two Controls," LIDAM Discussion Papers IRES 2002030, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    • Handle: RePEc:ctl:louvir:2002030
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    References listed on IDEAS

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    1. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    2. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
    3. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    4. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2005. "Renewable Natural Resources And Endogenous Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 9(2), pages 170-197, April.
    5. José Ramón Ruiz-Tamarit, "undated". "Multiplicity, Overtaking and Convergence in the Lucas Two-Sector Growth Model," Working Papers 2002-17, FEDEA.
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    Cited by:

    1. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2005. "Renewable Natural Resources And Endogenous Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 9(2), pages 170-197, April.

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    More about this item

    Keywords

    Non-Linear Dynamic System; Analytical Solution; Endogenous Growth; Transitional Dynamics;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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