But is that really true? I wasn't talking specifically about the UN, but if you take a look at nations across the globe, also historically, is the behaviour of nations primarily ruled by zero-sum bully and victim politics, or by nash equilibria, i.e. compromises where both parties benefit? I would say that nations that are at war or threatening each other with war are in the minority, globally.

Hmmm, you raise an interesting question. I'm no game theorist, but are bully/victim dynamics and Nash equilibria necessarily mutually exclusive? What I'm getting at is: the threat of force determines every other player's optimal strategy, with a fight always being the last resort for everyone involved.

Under such conditions, Adam giving the bully his lunch money, Bob his homework, and Charlie his lunch may be the Nash equilbrium—that is, until Dave (who knows kung fu) moves to the neighborhood.