Just the title statement iteself...
I always felt... why freaken robots, just have the leaders challange each other in a game of chess (Kasparov will be king) and basically we make rules based on technological levels, population, and other things, how many advisors you are allowed to have.
They just duke it out and after the one game war is over. Everyone accepts the outcome and the new overlords come to claim the country.
Its basically the same shit as war, except less death. We just need to figure out a way to incorporate nukes and suicide bombing into this game and a way to ensure propper resources are spent. After that why bother sending armies... Just send the chess team.