This paper studies the optimal design of R&D contests. A “sponsor” (e.g. the US Department of Defense or the World Health Organization) wants to improve the quality of the winning products. To do so, it partitions its budget between two schemes: an inducement prize and efficiency-enhancing...

This paper investigates the competitive effect of cross-shareholdings in winner-take-all all-pay auctions with two asymmetric bidders. We show that cross-shareholdings may paradoxically create a “pro-competitive” effect and elicit more effort than a standard contest without cross-ownership....