Better yet, all the people without access to automation could in form an entire economy among themselves. They would live like we do now, or like we have done at some point in history. Even without any support from the more developed society, they could develop like we do now.
Here's a (mercifully short) article on the subject by Chris Hedges: http://www.truthdig.com/report/item/karl_marx_was_right_2015...
It would be interesting to see this proposal work out. Capital is movable whereas people are mostly not. How would you prevent the robots moving (or built and run) where there are no taxes on them? I don't see how this be preventable without all nations agreeing on it. It doesn't work even with tax havens within the EU so why should this work world wide?