In the end, the students learned what social insects like ants and termites have known for hundreds of millions of years. To win at some games, cooperation is better than competition. Unity that arises through a diversity of opinion is stronger than any solitary competitor.
Sadly, many, if not most of the exams I’ve seen aren’t nearly interesting or challenging enough for an approach like this to even make sense.
In order for this to work, you need to have some interesting and challenging questions.
You also need to know your subject matter fairly well.