The law of the jungle may be all some species are capable of, but in the non-zero sum game
of social interaction, humans (and a few other animals) have discovered that if we treat each other brutally, we will lose (on average).
And global prosperity will be enhanced wherein everyone will be better off in a non-zero sum game
. Needless to say, there exists the probability function of risk and uncertainty that could derail the prospects for convergence, including the probability of Chinese internal political strife, US retaliation to Chinese arms buildup, Indo-Pakistani nuclear war, world trade war, and/or other foreseeable and not foreseeable negative events.
As London notes of the common good, so Mann noted of health and human rights in the context of the HIV/AIDS epidemic: they are not opposed but can much more fruitfully be analyzed as supporting each other in a non-zero sum game
that has win-win (and loss-loss) outcomes.