A risk-neutral agent optimizes extraction of dividends or renewable natural resources modelled by a jump-diffusion stock process, where the optimal strategy is characterized as the minimal intervention required to keep the stock process inside a given region. The introduction of a small fixed...

Sustainable use of natural resources becomes an important issue today not only due to global warming and pollution issues but also because of critical pressure on the Earth's regeneration possibility. We cannot use classical microeconomic approach here for two reasons: a) impossibility to create...