Three contestants are shown three prizes. Each secretly chooses a prize. A contestant wins the prize selected as long as she was alone in her selection. Round two varied because after given a hint how the bidding went each contestant could change her selection. Round three gave all three prizes to the one contestant who didn't match the other two.
Correction: There are three phases but five rounds. Phase one has two rounds. Phase two with the hint has two rounds. Phase three is the final round.
How about this variant for round two? After being told which, if any, players chose the same prize (but not which prize) a fourth prize is revealed. The contestants then lock in their selections and are stuck with the final results.
