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Existence Results and Finite Horizon Approximates for Infinite Horizon Optimization Problems

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  • Flam, Sjur D
  • Wets, Roger J-B

Abstract

Existence is obtained under a growth condition on paths that are asymptotic to turnpikes whose growth rate equals or exceeds that of the discount rate. Finite horizon approximates, that are computationally tractable, are used t o obtain solutions that yield lower and upper bounds for the optimal value. The technique used is that of epi-convergence. The lower bound estimates come from smoothing out of the tails of the trajectories, and the upper bound estimates from trajectories that are tail station ary. Copyright 1987 by The Econometric Society.

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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 55 (1987)
Issue (Month): 5 (September)
Pages: 1187-1209

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Handle: RePEc:ecm:emetrp:v:55:y:1987:i:5:p:1187-1209

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Cited by:
  1. Alemdar, Nedim M. & Sirakaya, Sibel & Husseinov, Farhad, 2006. "Optimal time aggregation of infinite horizon control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 30(4), pages 569-593, April.
  2. Fehle, Frank & Tsyplakov, Sergey, 2005. "Dynamic risk management: Theory and evidence," Journal of Financial Economics, Elsevier, vol. 78(1), pages 3-47, October.
  3. De Mello, L. Jr., 1995. "Vintage capital accumulation: Endogenous growth conditions," Journal of Macroeconomics, Elsevier, vol. 17(4), pages 703-716.
  4. Tsyplakov, Sergey, 2008. "Investment frictions and leverage dynamics," Journal of Financial Economics, Elsevier, vol. 89(3), pages 423-443, September.
  5. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer, vol. 19(1), pages 113-185, March.
  6. Amir, R., 1991. "Sensitivity analysis of multi-sector optimal economic dynamics," CORE Discussion Papers 1991006, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. L.A. Korf, 1998. "Insurer's Portfolios of Risks: Approximating Infinite Horizon Stochastic Dynamic Optimization Problems," Working Papers ir98061, International Institute for Applied Systems Analysis.

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