2. Consider the following incomplete-information game. First, nature chooses between one of the following two A and B tables, each with probability 0.5: A L R B L R U 0,0 6,-3 U -20,-20 -7,-16 D -3,6 5,5 D -16,-7 -5,-5 Then, players 1 and 2 simultaneously choose U or D and L or R, respectively, and obtain payoffs according to the table chosen by nature. (a) Suppose player 2 does not observe nature's move. Does player 1 benefit from information? (b) Suppose player 1 observes nature's move. Does player 2 benefit from information?