In this paper we compare and contrast the most profitable modes of licensing a cost-reducing invention by an inventor who is an industry incumbent with one who is not. We find that an industry incumbent favors licensing by means of a royalty per unit of output to which the new technology is applied while an outsider prefers to auction off a fixed number of licences outright. Our analysis also suggests that an outside inventor finds it most profitable to target greater cost-reducing inventions to monopolistic industries while an incumbent inventor favors competitive industries.