We consider the stochastic control model with finite time horizon for a mixed duopoly R&D (Research and Development) race between the profit-maximizing private firm and welfare maximizing public firm. In our two-firm stochastic control R&D race model, the stochastic control variable is taken to...

The productivity of the world's natural resources is critically dependent on a variety of highly uncertain factors, which obscure individual investors and governments that seek to make long-term, sometimes irreversible investments in their exploration and utilization. These dynamic...