Anarchy is a political structure where there’s basically no one in charge, right? But wouldn’t that just create a power vacuum that would filled by organized crime, corporations, etc.? Then, after that power vacuum is filled, we’re right back at square one, and someone is in charge.
Are there any political theorists that have come up with a solution to this problem?


I basically agree with you.
However, the slowness of paper-based administration is the reason why we’ve ended up with the (increasingly) poor solution of representative systems and the corruption that goes hand in hand with them.
In an age where fake news and propaganda spread in real time, I believe our democracies must also find a way to react more quickly… The internet allows anyone to communicate with anyone else in real time; in my opinion, it’s time to use this FOR rather than AGAINST our societies.