I would be interested to see how a purely selfish player played the game. If someone from Round 1 Game 1 just said, "I will not cooperate. I will not accept any deal, never share any of my winnings, and always attempt to maximize my own earnings at the expense of literally everything else. You are free to screw me in return, cooperate to screw me over, do what you will. But I'm not going to share."