On the basis of the concept/interpretation of (an) International Society (English School of IR). Can we allege reasons for having a (effective or even formal) world police/executive branch (currently US lead) as a societal institution. And other states as a counterweight, acting as checks and balances (like Russia, China), as a kind of societal control institution or as a substitute for (the role of) the civil society.
In positive perspective: explaining the factual/current societal roles of states. And/or normatively: suggesting that—in the assumed framework of an International Society—there should be the particular role of a police as well as division of powers.