Are you claiming that it is not possible to provide private defense of persons and property?
The private defence becomes the new state. The chaos is usually an intermediate state.
Can a new "state" version of private defence emerge on something like a virtual world, where everyone who can afford to can just buy their own defensive weaponry I wonder?
You decide - you make the game so you make the rules.
If i make this, I wont make any rules. You would have to decide.