Optimal capital/labor ratio in R&D sector as a policy variable

The purpose of this paper is to investigate the role of government in innovation. That is, how much should government invest in R&D activity for social welfare enhancement. An optimal control problem is proposed to answer the above question. Because of difficulties in solving the problem, simulation utilized to find an approximate solution. All results obtained from the simulation are very similar. The investment in R&D activity increases and reaches its maximum and then decreases continuously. If the importance of technology grows the investment in R&D activity should be expanded.