Optimality of Impulse Harvesting Policies
We explore the link between cyclical and smooth resource exploitation. We define an impulse control framework which can generate both cyclical solutions and steady-state solutions. Our model can admit convex and concave profit functions and allows the integration of different stock-dependent profit functions. We show that the strict concavity of the profit function is only a special case of a more general condition, related to submodularity, that ensures the existence of optimal cyclical policies. We then establish a link with the discrete-time models with cyclical solutions by Benhabib and Nishimura (J Econ Theory 35:284–306, 1985 ) and Dawid and Kopel (J Econ Theory 76:272–297, 1997 ). For the steady-state solution, we explore the relation to Clark’s ( 1976 ) continuous control model. Copyright Springer-Verlag 2013
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- Tracy R. Lewis & Richard Schmalensee, 1979. "Non-convexity and Optimal Harvesting Strategies for Renewable Resources," Canadian Journal of Economics, Canadian Economics Association, vol. 12(4), pages 677-691, November.
- Montrucchio, Luigi, 1995. "A New Turnpike Theorem for Discounted Programs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 371-382, May.
- Liski, Matti & Kort, Peter M. & Novak, Andreas, 2001.
"Increasing returns and cycles in fishing,"
Resource and Energy Economics,
Elsevier, vol. 23(3), pages 241-258, July.
- Liski, M. & Kort, P.M. & Novak, A.J., 2000. "Increasing Returns and Cycles in Fishing," Discussion Paper 2000-57, Tilburg University, Center for Economic Research.
- Kort, P.M. & Liski, M. & Novak, A.J., 2001. "Increasing returns and cycles in fishing," Other publications TiSEM 005cdced-611c-4158-a257-8, Tilburg University, School of Economics and Management.
- M. Liski, P.M. Kort, A.J. Novak, 2001. "Increasing returns and cycles in fishing," Computing in Economics and Finance 2001 126, Society for Computational Economics.
- Rognvaldur Hannesson, 1975. "Fishery Dynamics: A North Atlantic Cod Fishery," Canadian Journal of Economics, Canadian Economics Association, vol. 8(2), pages 151-173, May.
- Wirl Franz, 1995. "The Cyclical Exploitation of Renewable Resource Stocks May Be Optimal," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 252-261, September.
- Dawid, Herbert & Kopel, Michael, 1997. "On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function," Journal of Economic Theory, Elsevier, vol. 76(2), pages 272-297, October.
- 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.
- Majumdar, Mukul & Mitra, Tapan, 1994. "Periodic and Chaotic Programs of Optimal Intertemporal Allocation in an Aggregative Model with Wealth Effects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 649-676, August.
- Hartman, Richard, 1976. "The Harvesting Decision When a Standing Forest Has Value," Economic Inquiry, Western Economic Association International, vol. 14(1), pages 52-58, March.
- Akiomi Kitagawa & Akihisa Shibata, 2005. "Endogenous growth cycles in an overlapping generations model with investment gestation lags," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(3), pages 751-762, 04.
- Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
- Benhabib, Jess & Nishimura, Kazuo, 1983. "Competitive Equilibrium Cycles," Working Papers 83-30, C.V. Starr Center for Applied Economics, New York University.
- Nishimura, Kazuo & Sorger, Gerhard & Yano, Makoto, 1994. "Ergodic Chaos in Optimal Growth Models with Low Discount Rates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 705-717, August.
- Berck, Peter, 1981. "Optimal management of renewable resources with growing demand and stock externalities," Journal of Environmental Economics and Management, Elsevier, vol. 8(2), pages 105-117, June.
- Michael Kopel & Herbert Dawid, 1999. "On optimal cycles in dynamic programming models with convex return function," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 309-327.
- Michael Kopel & Gustav Feichtinger & Herbert Dawid, 1997. "Complex solutions of nonconcave dynamic optimization models (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(3), pages 427-439. Full references (including those not matched with items on IDEAS)
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