The fourth game feels a bit off. Anyone deviating from the agreed upon strategy doesn't win anything. They just screw themselves as well as one other person over. So there isn't much incentive to lie there... well, maybe in the second round with the -100, but other than that?,(reply>), That's not a consequence of the design of round 4, but of the sequence of events leading up to it. If the medals in round 3 had not been cancelled out and so more than one player had equal medals, the tactical outlook of round 4 is very different. It still took Mike to realise that he had the upper hand and force his opponents to recognise that.