The cavemen Thag and Zog and Otzi live in three different valleys connected by a high mountain pass. Herds of goats graze on the alpine grass at the top of the pass. Each morning, Thag, Zog and Otzi must independently decide whether or not to go hunt at the top of the pass. If there is a successful hunt, all three cavemen get exactly 1 day's worth of food, regardless of who showed up to hunt, but a successful hunt requires at

least two hunters to show up. Anyone who shows up to hunt uses up 1\2 of a day's worth of food, regardless of whether or not the hunt was successful.

Give all pure strategy Nash equilibria and one symmetric mixed strategy Nash equilibrium for this scenario. plz explain in detail !! thanks a lot!!