2. Consider the following gamethat is played 'I times. First, players move simultaneously and independently. Then each playeris informed about me actions taken by the other player in the rst play and, given this, they play it again, and so on. The payoff for the whole game is the sum of the payoffs a player obtains in the T plays of the games ,4 as b: ca 4: A 3,2; 5,2; 1,144: B 2,6- 4,4+- 1,3443 C 1,24: {1,3 2,343 ,4 (a)(596] How many subgames are there if T: 31914 (ID) [20945 to be divided among the steps of the answer). Suppose T = 3. Is the following a SPNE outcome path {ammonia} '? If your answer is yes, explain the strategies that sustain it as a SPN'E. For example, in period 1, the role player plays E, the column player b. If the row player deviates, the players choose (I and c respec'dvely for the next two periods. The deviating row playefs payoff is then 5+2+2=L If he had not deviated, it T.wiluld be 4+2+3=g. So deviation is not protable. Explain the strategies in this waysJ