Consider the following strategic game played by players 1 and 2. Player 2 can be of 2 types: the "friendly" type (with probability p), and the "unfriendly" type (with probability 1 p). When player 2 is friendly, the payoff matrix is: Player 1 Player 2 A B Player 1 a 7,8 2,6 b 6,2 4,3 When player 2 is unfriendly, the payoff matrix is: Player 2 A B a 6,1 1,4 5,6 4,5 b Compute one pure strategy Bayes-Nash equilibrium and give conditions under which it exists.