There have been teachers who have tried to show this in the classroom. Grades, to students, are their salaries. You work hard, you get paid more (in the capitalist system).
In the exercise, which runs for a couple of weeks), students are randomly put into two groups. One group is graded individually. Individuals in the other group receive the average grade of their group.
It’s not surprising what happens. The individual performance group performs better. The group performance goes down over time. C and D students in that group figure the rest of the group will carry them and work even less. A and B students start out strong, but soon wonder why they should bother and perform minimally.
Haven’t heard about this for a while, but several years ago there were reports of teachers who did this exercise being reprimanded or suspended.
Every time my boys had to do a ‘group project’ in school over a couple of weeks, there were always those in the group who would do the same as you described, and my boys wound up doing the majority of the work (along with a few others) to get a good grade. I would ALWAYS use these experiences to point out to them the basics of human nature, and this is what socialism is, in a nutshell.