You can choose one of the two options – 2 marks or 5 marks, regarding how many extra marks you want. You will get whichever marks you chose as long as fifteen or fewer students chose 5 marks. Otherwise, however, no-one gets any extra marks. There are 82 students.

From statement above, do we haev any ( strictly or weakly ) dominant strategy here? If so, which one is it? If not, why not? How to draw a game theory chart of this?