2. Consider a game where N players simultaneously and independently choose between A and B. If a player selects A her payoff is equal to HA = 3 + ZmA mi where mA is the total number of players who choose A. The payoff to a player who selects B is H3 = 4 m3 where m3 is the total number of players who choose B. Note that m A + m3 = N. (a) Suppose N = 2. Represent the game in strategic form (matrix). Find all the pure-strategy Nash equilibria. (b) Suppose N = 3. Represent the game in strategic form (matrix). Find all the pure-strategy Nash equilibria. (c) In the case of N = 3 nd a symmetric mixed-strategy NE in which every player plays A with probability p. Please, show your work 1