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 think of anarchy like a guiding ideal: flatten hierarchies.
You can’t eliminate hierarchies. If you eliminate “official” hierarchies, you lack measures to prevent individuals from exerting their will over other individuals by force, which is just another hierarchy. As long as one person can swing a club at another, you have a naturally emergent hierarchy. Once you’ve created a group of people to stop people from swinging clubs at other people, you’ve invented a hierarchy.
The anarchic ideal would be a system of organization to minimize the club-swinging. The proverbial sweet spot between preventing oppression without being oppressive. But it all ultimately comes down to club-swinging, you can’t have a purely anarchic system without enabling private power. The best you can do is aim for the flattest possible hierarchy.