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...

We consider the optimal strategy of R&D expenditure adopted by a firm that engages in R&D to develop an innovative product to be launched in the market. The firm faces with technological uncertainty associated with the success of the R&D effort and market uncertainty of the stochastic revenue...