Is anyone here familiar with the idea of plenarchy? This proposed political system apparently makes use of sortition. See–

FWIW, I am not personally very enamored with the fact that this system seems to place personal choice (a literal “social contract”) at its heart. I think it is a dangerous mistake to think that any political system could ever by voluntary (although I do believe that political system owe those who live under than an explanation for the way they handle things).