Okay, my point still stands. Do you see ads for private arbitration or enforcement outside of state control? No. My point isn't, give up it's hopeless. My point is, for your own safety don't advertise you are competing with the state on force, and justice. They will kill you or at the very least force you to stop. 
Contracts are STATE enforced so is arbitration. Just read what I actually said and don't infer my point when I state it clearly. I know things can work without the state, I'm an anarchist.