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Steady-state properties in a class of dynamic models, with applications to natural resource management

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  • Tsur, Yacov
  • Zemel, Amos

Abstract

We develop a method to characterize the location as well as the time of approach of optimal steady states in single-state, infinite-horizon, autonomous models. The method is based on a simple function of the state variable which is defined in terms of the model's primitives. The actual implementation does not require to solve the underlying dynamic optimization problem (which often does not admit a closed-form solution). Applying the method to a generic class of resource management problems, we show how it identifies the set of candidate steady states and determines, for each steady state, whether the corresponding approach time is finite or infinite.

Suggested Citation

  • Tsur, Yacov & Zemel, Amos, 2013. "Steady-state properties in a class of dynamic models, with applications to natural resource management," Discussion Papers 164511, Hebrew University of Jerusalem, Department of Agricultural Economics and Management.
    • Handle: RePEc:ags:huaedp:164511
    DOI: 10.22004/ag.econ.164511
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    1. Sorger, Gerhard, 1989. "On the optimality and stability of competitive paths in continuous time growth models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 526-547, August.
    2. Spence, A Michael & Starrett, David, 1975. "Most Rapid Approach Paths in Accumulation Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 388-403, June.
    3. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    4. Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 3-28.
    5. Tsur, Yacov & Zemel, Amos, 2001. "The infinite horizon dynamic optimization problem revisited: A simple method to determine equilibrium states," European Journal of Operational Research, Elsevier, vol. 131(3), pages 482-490, June.
    6. Y. Hossein Farzin & Ken-Ichi Akao, 2006. "When is it Optimal to Exhaust a Resource in a Finite Time?," Working Papers 2006.23, Fondazione Eni Enrico Mattei.
    7. Hartl, Richard F., 1987. "A simple proof of the monotonicity of the state trajectories in autonomous control problems," Journal of Economic Theory, Elsevier, vol. 41(1), pages 211-215, February.
    8. Schumacher, Ingmar, 2011. "When Should We Stop Extracting Nonrenewable Resources?," Macroeconomic Dynamics, Cambridge University Press, vol. 15(4), pages 495-512, September.
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