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Numerical Solution of Infinite-Horizon Optimal-Control Problems

Author

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  • Peter Kunkel
  • Oskar von dem Hagen

Abstract

The paper presents an algorithm that solves two-point boundary-value problems that arise in economic control models in continuous time with an infinite time horizon and several state variables. The algorithm can determine optimal trajectories that converge to an isolated equilibrium point. It therefore provides a numerical solution to a large class of problems for which no solvers were yet available.

Suggested Citation

  • Peter Kunkel & Oskar von dem Hagen, 2000. "Numerical Solution of Infinite-Horizon Optimal-Control Problems," Computational Economics, Springer;Society for Computational Economics, vol. 16(3), pages 189-205, December.
    • Handle: RePEc:kap:compec:v:16:y:2000:i:3:p:189-205
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    Cited by:

    1. Grass, D., 2012. "Numerical computation of the optimal vector field: Exemplified by a fishery model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1626-1658.
    2. Peter Stemp & Ric Herbert, 2006. "Solving Non-Linear Models with Saddle-Path Instabilities," Computational Economics, Springer;Society for Computational Economics, vol. 28(2), pages 211-231, September.
    3. Ragni, Stefania & Diele, Fasma & Marangi, Carmela, 2010. "Steady-state invariance in high-order Runge-Kutta discretization of optimal growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1248-1259, July.

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