Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/156673 
Year of Publication: 
2016
Series/Report no.: 
WIFO Working Papers No. 525
Publisher: 
Austrian Institute of Economic Research (WIFO), Vienna
Abstract: 
The paper offers a complete analysis of the welfare-maximising capital investment and resource depletion policies in the Dasgupta-Heal-Solow-Stiglitz (DHSS) model with capital depreciation and any returns to scale. We establish a general existence result and show that an optimal admissible policy may not exist if the output elasticity of the resource equals 1. We characterise the optimal policies by applying an appropriate version of the Pontryagin maximum principle for infinite-horizon optimal control problems. We conclude the paper with an economic interpretation and a discussion of the welfare-maximising policies.
Subjects: 
optimal growth
nonconstant returns to scale
exhaustible resources
JEL: 
C61
O38
Q01
Q56
Document Type: 
Working Paper

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