The best we can (and should) hope for is the kind of cooperation which depends on and is sustained by self interest.
The increased policing cooperation is a case in point: nations do it because they uniformly gain by controlling their own citizens better, not because they are being told to do it, and not because they are working towards a common worldwide goal to catch criminals.
The international finance problems have to be viewed in this light, too. -- $E(X_t|F_s) = X_s,\quad t > s$