Jon and Ramsay play a 5x5 game specied by the following payoff table Ramsay L C R, Y Z T 12,2 _2,4 J M 4,4 2,0 0\" B 0,6 6,16 Q 7,1 10,2 -3 1 1 0 1 0 P -3,1 _1,100 5,100 80,0 3,50 a) [ 4 Points ] For each player, is there an action that is strictly dominated by another action? If yes, please specify both the dominated action and the dominating action. If no, you do not need to provide any arguments. b) [ 5 Points ] After eliminating the strictly dominated action (if it exists) in part (a), consider the possibility of a mixed strategy dominating an action for Ramsay. Using the probability weights % and % determine Whether a mixed strategy of any of Ramsay's 2 actions dominates the third. If yes, specify both the dominated action and the mixed strategy. If no, you do not need to provide any arguments. c) [ 2 Points ] Write down the reduced form of this game after eliminating all the strictly dominated actions you found in parts (a) (c). d) [ 10 Points] Find all Nash equilbria of the game (including both pure and mixed strategies)