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?


Yeah, it’s a goal, not a method. Even with a democracy/republic, there are so many different versions of it that exist. Is there a parliament? Is there a central leader? Who can vote? What happens if people can’t agree on who should be in charge?
Anarchism is a large set of ideals. There are a lot of people who have thought about how to make it work. Any issue people have with it, I promise you it’s been considered. Everyone probably won’t agree on what the solution should be (because that’s always the case), but it has been thought about.