I think for game 3, the metals should go to whoever put the most money into the box throughout the game. There is already an incentive to get the most money, but there’s not much incentive to put money in the box unless you can trust everyone. So it becomes a game of do you try go for the metal and put in your money, or just try to collect money for future rounds, instead of just everyone putting in 0 and trying to convince others to put in their money for free money.,(reply>), That is then the opposite problem, there just isn't enough incentive not to put all your money in every round. At least in Tom's version people have to betray their conscience and do the most selfish thing, but in your version the best strategy is also the most selfless, which goes against the point of the show. I just don't think it is a very good game, since there is always a strategy that is guaranteed to at least get you a tied victory (playing nothing in Tom's version and playing everything in yours)