2. (25 points)Consider the following two-player, simultaneous-move game: Player 2 T|8,7|7.,4[6,2 Player 1 M | 6,12 5.7 |4,6 B|7,6|6,8(/8.3 (a) (5 points) Complete the payoffs of the game table above so that T is a dominant strategy for Player 1 and explain yvour reasoning. If this cannot be done explain why. (b) (5 points) Complete the payoffs of the game table above so that C is a dominant strategy for Player 2 and explain yvour reasoning. If this cannot be done explain why. (c) (10 points) Complete the payoffs of the game table above so that neither player has a dominant strategy, but also so that each player does have a dominated strategy. State which strategies are dominated and explain why. (Again, there are many correct answers; pick one that works) (d) (5 points) Is it possible to complete the payoffs of the game table above so that (B,C) would be a Nash equilibrinm? Explain