Two firms, the only firms in the market, sell the same product and have the same marginal cost. They realise they would be better off if they didn't compete with each other. They enter an alternating offers bargaining game to decide how they will divide the monopoly profit, . They have three periods to come to an agreement. If no agreement is reached after three periods, the firms will compete simultaneously in prices. The firms toss a coin to decide who makes the first offer in the bargaining game. Firm 1 wins and decides to go first. Each firm has a discount factor .

a)Draw the game tree.

b)What is the subgame perfect equilibrium when = 0.5?

c)What is the equilibrium payoff for each firm?

d)Was Firm 1 wise to opt to make the first offer? Explain your answer.