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Irreversible Investments Revisited

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A non-linear dynamic model in two state variables, two controls and three cost terms is presented for the purpose of finding the optimal combination of exploitation and capital investment in optimal renewable resource management. Non-malleability of capital is, in other words, incorporated in the model through an asymmetric convex cost-function of investment, and investments can be both positive and negative. Exploitation is controlled through the utilisation rate of available capital. A novel feature in this model is that there are fixed costs associated with the available capital whether it is utilised or not. In contrast to most of the previous literature both state variables enter the objective function.

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  • Sandal, Leif Kristoffer & Steinshamn, Stein Ivar, 2006. "Irreversible Investments Revisited," Discussion Papers 2006/11, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2006_011
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    File URL: http://hdl.handle.net/11250/163866
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    1. Boyce John R., 1995. "Optimal Capital Accumulation in a Fishery: A Nonlinear Irreversible Investment Model," Journal of Environmental Economics and Management, Elsevier, vol. 28(3), pages 324-339, May.
    2. Munro, Gordon R. & Scott, Anthony D., 1985. "The economics of fisheries management," Handbook of Natural Resource and Energy Economics, in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 2, chapter 14, pages 623-676, Elsevier.
    3. Brunner, Martin & Strulik, Holger, 2002. "Solution of perfect foresight saddlepoint problems: a simple method and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 737-753, May.
    4. McKelvey, Robert, 1985. "Decentralized regulation of a common property renewable resource industry with irreversible investment," Journal of Environmental Economics and Management, Elsevier, vol. 12(4), pages 287-307, December.
    5. Clark, Colin W & Clarke, Frank H & Munro, Gordon R, 1979. "The Optimal Exploitation of Renewable Resource Stocks: Problems of Irreversible Investment," Econometrica, Econometric Society, vol. 47(1), pages 25-47, January.
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    Cited by:

    1. Anders Skonhoft & Asle Gauteplass, 2012. "Optimal exploitation of a renewable resource with capital limitations," Working Paper Series 12912, Department of Economics, Norwegian University of Science and Technology.
    2. Da Rocha Alvarez, Jose Maria & Prellezo, Raul & Sempere, Jaume & Taboada-Antelo, Luis, 2016. "Fleet dynamics and capital malleability," MPRA Paper 75370, University Library of Munich, Germany.
    3. Da Rocha Alvarez, Jose Maria & Prellezo, Raul & Sempere, Jaume & Taboada-Antelo, Luis, 2016. "Fleet dynamics and overcapitalization under rational expectations," MPRA Paper 79578, University Library of Munich, Germany.
    4. Jules Selles, 2018. "Fisheries management: what uncertainties matter?," Working Papers hal-01824238, HAL.
    5. Poudel, Diwakar & Sandal, Leif K. & Kvamsdal, Sturla F. & Steinshamn, Stein I., 2011. "Fisheries Management under Irreversible Investment: Does Stochasticity Matter?," Discussion Papers 2011/20, Norwegian School of Economics, Department of Business and Management Science.

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    More about this item

    Keywords

    Irreversible investments; non-malleable capital; renewable resources;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

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