2. Imagine the following game is played an infinite amount of times: a. Prove that this fame is a prisoner's dilemma. b. Under what interest rates will you cooperate against someone playing grim trigger? c. Under what interest rates would someone cooperate against instead of defecting once if the other person is playing tit-for-tat? 2. Imagine the following game is played an infinite amount of times: a. Prove that this fame is a prisoner's dilemma. b. Under what interest rates will you cooperate against someone playing grim trigger? c. Under what interest rates would someone cooperate against instead of defecting once if the other person is playing tit-for-tat