game theory

We played a new wide game with our Scouts.
Each kid in a team got a number written on their hand. To take someone prisoner, you needed to have a bigger number than them, either yourself or in total as a group of captors.
One group, C, cheated and increased several of their members numbers to 8, the maximum.
However, that backfired when we made the final score for each team be the number of points of their prisoners - team C had made its members so valuable compared to everyone else that another team, B, with just three team C prisoners scored more than everyone else.
It was satisfying that punishment for cheating was built into the rules.