RT Generic SR 00 A1 Aseev, S. A1 Besov, K. A1 Kaniovski, S. T1 The Optimal Use of Exhaustible Resources Under Non-constant Returns to Scale SP 48 K1 optimal growth, nonconstant returns to scale, exhaustible resources AB 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 welfaremaximising policies. LK https://pure.iiasa.ac.at/id/eprint/13877/ UL http://www.wifo.ac.at/wwa/pubid/59048