According to this video by Tim Hartford, this includes: Designing wargames for Kissinger et al., helping Kubrick with Dr Strangelove, suggesting the red telephone be installed between USA and Soviet Union and trying but failing to dissuade a bombing campaign in Vietnam. On the intellectual plane (as well as game theory), decades ahead of his time in thinking about behavioral economics (because he was trying to give up smoking), doing the first agent-based model (of discrimination) and thinking about climate change. Near-fatal flaw for Nobel Committee: Not enough math.
Great for teaching. Part on mutually assured destruction vs common interest games could easily be folded into discussion of Nash vs subgame perfect equilibrium and hence credibility.