I guess you mean some kind of computer/AI? Then who rules (programs) the AI, rules the world. This is definitely no anarchy. Ceding authority to a machine only serves to hide the real rulers.
Check This Perfect Day by Ira Levin, for a perspective on what kind of world this could lead to.
(Related to Maciej's talk - I vaguely remember the Bible saying something about a good ruler dying, and his work being undone by a clueless son; I can't find the passage now, though.)
BTW. I see you implying that smart and noble ruler would implement a one-time solution that forever relieves us from the need of organized governance. That's very similar of what the Friendly-AI Problem crowd talks about - you get only one shot at this, and if you screw it up, you screw up everything, forever.