I would prefer "evenly" but "fairly" would be better than what we have now. If AI and robots are going to make infinite progress and replace all labor, then I definitely would want "evenly".
What would keep people from circumventing a roboticized society and forming their own human-based society? Buy good and services produced by other people and avoid and or penalize members who cheat -ostracize them. There can be parallel systems. Pretty much only communist systems prevent non-communist systems from operating. In capitalist systems communist systems that form from time to time fail because members grow disillusioned with the inevitable slackers and because they operate within a greater society can't just send slackers to gulags or re-educational camps.
What would keep people from circumventing a roboticized society and forming their own human-based society? Buy good and services produced by other people and avoid and or penalize members who cheat -ostracize them. There can be parallel systems. Pretty much only communist systems prevent non-communist systems from operating. In capitalist systems communist systems that form from time to time fail because members grow disillusioned with the inevitable slackers and because they operate within a greater society can't just send slackers to gulags or re-educational camps.