The Impact of Government Subsidies on Private R&D Investment in Different Markets

In contrast to the econometric models that have been commonly used throughout a large portion of the literature, we develop six game-theoretic models to analyze governmental subsidy strategies in different market environments and to investigate the question of whether government subsidies crowd in or crowd out private investment in R&D activities. Based on realistic situations, we classify governmental subsidy strategies into three types, namely, no subsidy provided, subsidies provided based on the price of the end products, and subsidies provided based on the cost of R&D. In addition, according to whether competition exists in the market, we classify markets into monopoly markets and duopoly markets. Our research shows (a) that the relationship between government subsidies and private R&D investment is deeply impacted by the form of the subsidies used; (b) that the characteristic value of the R&D project and the competitive environment of the market are the two key factors that should be considered when governments decide which form of subsidy to employ; and (c) the optimal amount for each type of subsidy.