Innovation by Heterogeneous Leaders

We develop a Schumpeterian growth model in which leaders and followers conduct research and development (R&D) activities and in which leaders have different-sized quality leads over their followers, and thus have different profit flows. We show that leaders with larger quality leads make smaller R&D investments; this result is consistent with the actual behaviors of some previous leader firms, such as Sony and Eastman-Kodak. Moreover, we show that subsidizing the R&D of followers can promote the aggregate R&D of leaders, because promotion of followers' R&D decreases (increases) the number of leaders with larger (smaller) quality leads and smaller (larger) R&D investments.