question below

Consider the following scenario. There are N witnesses to a crime. Each witness can report or not report the crime, and they act simultaneously. The payoff to each witness is o 9 if another witness reports the crime 0 g c if he / she reports the crime I 0 if nobody reports the crime That is, each witness wants the crime to be reported and benets from it being reported, but there is a personal cost to reporting. Assume that g>c>0 (a) Construct a pure strategy NE of the game in which the crime is reported with prob ability one. How many witnesses report the crime? (15 POINTS)