PLZ use game theory and be detailed show all the process if possible. Thank you

Question B3. (25 marks) Consider the following two-period game. There are two agents. In period 1, the players play the following prisoner's dilemma game: C D 4,4 0,5 D 5.0 1,1 In period 2, each player observes the actions chosen in period 1 and play the following battle of the sexes game: O F O 3,3 0,0 F 0,0 1,1 Each agent's overall payoff is the sum of his/her payoffs from the two periods. Is there a subgame perfect equilibrium of this game such that both players play C in the first period? If yes, identify such an equilibrium strategy, and show that it is indeed an equilibrium strategy. If no, explain your