I'm wondering what "mastered the challenge" means. To maximize utility (naively assuming that points == utils), you want exactly 10% of the class to choose 6 po

I'm wondering what "mastered the challenge" means. To maximize utility (naively assuming that points == utils), you want exactly 10% of the class to choose 6 points, and the rest to choose 2. Perhaps a "perfectly cooperative" class would give the larger payout to the students with the lowest grades.