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Parametric Optimization Approach to the Solow Growth Theory

In: Optimization, Simulation, and Control

Author

Listed:
  • Rentsen Enkhbat

    (National University of Mongolia)

  • Darkhijav Bayanjargal

    (National University of Mongolia)

Abstract

We extend the classical growth theory model assuming that production function is an arbitrary continuously differentiable function on its domain and the saving rate and depreciation rate of capital depend on time. Then the per capita consumption maximization problem reduces to one dimensional parametric maximization problem. We propose a new finite method for solving the problem using Lipschitz condition. Some test problems have been solved numerically.

Suggested Citation

  • Rentsen Enkhbat & Darkhijav Bayanjargal, 2013. "Parametric Optimization Approach to the Solow Growth Theory," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Rentsen Enkhbat & E. N. Pistikopoulos (ed.), Optimization, Simulation, and Control, edition 127, pages 195-203, Springer.
  • Handle: RePEc:spr:spochp:978-1-4614-5131-0_12
    DOI: 10.1007/978-1-4614-5131-0_12
    as

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