This works in small experiments because when you give money to a small group of poor people (A) within a larger group of poor people (B), group A gains leverage compared to their prior position and compared to group B.
When you give money to all poor people, the net result is simply inflation[1]. If transfer payments were made to taper up from max(wealth) (receives $0) to min(wealth) (receives $average(wealth)), disparity would be brought to 0, which would naturally lead to everybody doing what they wanted rather than what earned them income. This would be a lot of fun, but it would unfortunately reduce the developmental value of humans to zero[2], and machines would evolve to replace us all (could be gray goo, could be the borg, etc.).
The true path to freedom from work is to work collaboratively on a humanoid robot with some basic rules for human interaction: 1) A robot may not injure a human being or, through inaction, allow a human being to come to harm. 2) A robot must obey orders given it by human beings except where such orders would conflict with the First Law. 3) A robot must protect its own existence as long as such protection does not conflict with the First or Second Law. Those should suffice for a while, but I know not what will come of them down the line.
That's all for now :) Have a great weekend, everyone!
1. http://www.physicsclassroom.com/class/newtlaws/Lesson-4/Newt...
2. http://econlog.econlib.org/archives/2011/05/robots_of_the_f....