But then of course this is the wrong question to ask. This is nothing more but a complicated version of a multi-party, repeated Prisoner's Dilemma problem. Except that you don't know your negative payoff when an opponent chooses to defect, but it may well be minus infinity (you get holocausted or nuked into paleolith). And then defection by any single party gets you the negative payoff. So if you only ask the question you suggest and ignore the rest of the options, you are doomed.
I'm afraid that the world's politicians (most of them at least) are completely sane, and all this "race to the bottom" stuff going on is just the result of the game theory & life being what it is.