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?


The “archy” is definitely related to the idea of a top-level leadership/executive group that is set apart from the rest. Anarchy removes that executive privilege and parasitism.
For any society to function, there must be rules. Anarchy, in most forms, the community is the legislature and judiciary.