G2TT
来源类型Book Section
DOI10.1007/978-3-319-75169-6_11
Optimal Exploitation of Renewable Resources: Lessons in Sustainability from an Optimal Growth Model of Natural Resource Consumption.
Aseev S; Manzoor T; Feichtinger, G.; Kovacevic, R.; Tragler, G.
发表日期2018
出处Control Systems and Mathematical Methods in Economics. Eds. Feichtinger, G. , Kovacevic, R. & Tragler, G. , pp. 221-245 Cham, Switzerland: Springer. ISBN 978-3-319-75169-6 DOI: 10.1007/978-3-319-75169-6_11 .
出版年2018
语种英语
摘要We study an optimal growth model for a single resource based economy. The resource is governed by the standard model of logistic growth, and is related to the output of the economy through a Cobb-Douglas type production function with exogenously driven knowledge stock. The model is formulated as an infinite-horizon optimal control problem with unbounded set of control constraints and non-concave Hamiltonian. We transform the original problem to an equivalent one with simplified dynamics and prove the existence of an optimal admissible control. Then we characterize the optimal paths for all possible parameter values and initial states by applying the appropriate version of the Pontryagin maximum principle. Our main finding is that only two qualitatively different types of behavior of sustainable optimal paths are possible depending on whether the resource growth rate is higher than the social discount rate or not. An analysis of these behaviors yields general criterions for sustainable and strongly sustainable optimal growth (w.r.t. the corresponding notions of sustainability defined herein).
主题Advanced Systems Analysis (ASA) ; Young Scientists Summer Program (YSSP)
URLhttp://pure.iiasa.ac.at/id/eprint/15348/
来源智库International Institute for Applied Systems Analysis (Austria)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/134639
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GB/T 7714
Aseev S,Manzoor T,Feichtinger, G.,et al. Optimal Exploitation of Renewable Resources: Lessons in Sustainability from an Optimal Growth Model of Natural Resource Consumption.. 2018.
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