Ah,I see what you mean.You want to say that if,for example,USA would be a country/state no more,then other great countries such as Russia,China,UK or France would all take a little bit of what used to be the US.
But the anarchy I have in mind is world anarchy,where on the entire planet,there is no such thing as a government,politician,authority,or any unnatural,man-made hierarchy.
I know,you're probably thinking:"Quit dreaming! No way that'll ever happen!" And unfortunately,you'd probably be right. Humans,in this age,are unhealthily dependant on authority,always needing somebody's orders to follow,instead of making decisions on their own.
"People need to learn how to rule themselves.Government creates more problems that it solves" - Ian "Lemmy" Kilmister
To such people,a world without presidents,kings,emperors,dictators,senators and congressmen sounds like a fantasy or like a world full of chaos where everyone behaves like antifa[F**k antifa for giving people the wrong idea of Anarchists]. The mentality of the sheep...
Sometimes I wonder how this illusion of government(govt is not real,and will never be real. Explanantion:https://m.youtube.com/watch?v=EhMXtcvHLeE) got created in the first place. I imagine this scenario:a bunch of people gathered together one day and one of them said:"Allright guys,we are all too incompetent an irresponsible to take care of ourselves,so we'll all have one dude who'll tell us what we can and what we can't do,and we will not be allowed to disobey him.Oh,and also,we'll give him 'bout one fifth of the money we make every month because if we don't pay him to boss us around,there'd be no way he'd survive" And from that point onwards,the illusion grew greater and greater,never to be seen through and dissolved...
And regarding the historical solution,it would seem you have the law of ancient Greece in mind(although many other tribal countries practiced the same law):live in small groups(tribes),all with their own hierarchy,and unite only in dire times,such as a foreign invasion or a natural disaster. That's a nice solution in case some foreigners attacked. But instead of fighting with foreign groups,why not simply realize that there's no such thing as a foreigner? Wars and conflicts require two opposing sides. But if there is only one unity,war simply cannot happen. Explanation: https://m.youtube.com/watch?v=x6UMT94jNGI