Firms A and B are considering entering a new market through launching 1,2 , or 3 new products. The following payoff matrix shows their considerations regarding the returns to their new launches (in the form of market share). (1) Based on the above payoff matrix, find the equilibrium outcome(s) in the game. (2) Based on the above payoff matrix, please find the Nash equilibrium outcome(s) in this game, if any. Note that you need to explain the reasons for your choice. (3) Assuming firm A will be the first to enter the new market and firm B is the follower, draw a decision tree to show the sequential game between Firms A and B. And answer the question: Does firm A have a 'first mover' advantage? Note that you need to explain the reasons. Hint: you need to find the best solution (equilibrium) for the game and determine if being a first mover advantages A s choice and payoffs. Firms A and B are considering entering a new market through launching 1,2 , or 3 new products. The following payoff matrix shows their considerations regarding the returns to their new launches (in the form of market share). (1) Based on the above payoff matrix, find the equilibrium outcome(s) in the game. (2) Based on the above payoff matrix, please find the Nash equilibrium outcome(s) in this game, if any. Note that you need to explain the reasons for your choice. (3) Assuming firm A will be the first to enter the new market and firm B is the follower, draw a decision tree to show the sequential game between Firms A and B. And answer the question: Does firm A have a 'first mover' advantage? Note that you need to explain the reasons. Hint: you need to find the best solution (equilibrium) for the game and determine if being a first mover advantages A s choice and payoffs