it would work like any other thing in the market like food water drinks snacks all kinds of things you can get from the market and also, without the monopolization of initiation of violence government can't get away with anything, of course there would be courts and other such things expect it won't be a monopoly it would be a voluntary arrangement between the arbitrator (judge) and the negotiator (lawsuit) who is trying to show you evidence x has indeed committed a crime it would be restitution and possibly pay back in fines etc etc all can be done on the market just like anything else you can possibly imagine : )

when i mean voluntary arrangement it between the judge and the person who is suing the other person for x and has proof he/she done x.