Capacity investment and green R&D in a dynamic oligopoly under the potential shift in environmental damage

We develop a differential oligopoly game to investigate firms’ capacity investment and green R&D efforts in the presence of the potential shift in environmental damage and under the spillover effect of R&D activities among firms. We find that when both the probability of potential shift in environmental damage and the efficacy of R&D activities are high, the spillover effect will discourage the R&D effort but encourage the capacity investment. Otherwise, the spillover effect will encourage the R&D effort but discourage the capacity investment. Moreover, the potential shift in environmental damage can significantly impact the capacity and green R&D decisions as well as the Pigouvian tax, especially in the case of a large number of firms, a high profitability of the product, a high level of interest rate, and a high level of R&D spillover among firms.