Introduce asymmetric information in the stag-hunt game of chapter 1. There are two players who…

Introduce asymmetric information in the stag-hunt game of chapter 1. There are two players who must decide whether to hunt the stag or the rabbit. With probability p, each player has preferences that always make him hunt the stag (he does not like rabbit, or he is able to catch the stag by himself although he would prefer to hunt with the other player); with probability q, each player always hunts the rabbit (he does not like stag); with probability 1-p-q, the player has the preferences described in chapter 1: He gets 1 if he hunts the rabbit, 2 if both hunt the stag, and 0 if he hunts the stage alone. Suppose that 2p>1-q and 2q > 1-p.