This report examines the prospects for cooperation between the United States and its strategic competitors China and Russia on national security issues. It finds that while some limited cooperation may be possible on issues like counterterrorism, nonproliferation, and space safety, the overall "trade space" for cooperation is narrow. Significant and growing obstacles like differing political systems and competing strategic interests constrain cooperation. Cooperation will likely remain limited and selective, focused only on issues where interests align despite broader strategic competition.