Comments

@hollow114, Hmm... If I remember my game theory correctly, this game would result in everyone getting 0 points. While given there is no Nash equilibrium, (let's say there are 10 students), there is incentive for every student to go from 2 point to 6 points. Since all the other students don't know what the other students are choosing, their best response is to choose 6 points, in order to better off themselves compared to their fellow students. (Actually much more complicated. Just don't feel like go through an entire lecture right now.)

Prisoners dilemma; go educate yourselves, it's a really interesting concept. My Econ professor actually did a similar thing with extra credit points except he randomly paired us up in two's in our class of 400 and had us anonymously pick one or the other with our transmitters (fúck transmitters btw, college kids know the struggle)

This is easy to solve. Get all classmates together, put numbers in a bowl and each classmate draws a number and enters it. Obviously, don't have enough of the number that will give 0 points. To ensure the game is played fair, as each number is drawn it is immediately entered in front of everyone. Simples.

I'd take the risk of going for the 6 points. I mean, worst care scenario, I miss out on two points. On the other hand, there are six points to be gained. There have been studies done that show loses hurt roughly twice as much as a gain. 2 x 2 = 4. The gain of 6 is greater than the possible net loss of 4.
Game theory. Must be an econ class