Suppose players 1 and 2 will play the following prisoners' dilemma.
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Prior to interacting in the prisoners' dilemma, simultaneously each player announces a binding penalty pi that this player commits to pay the other player j in the event that player defects and player j cooperates. Assume that these commitments are binding. Thus, after the announcements, the players effectively play the following induced game
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(a) What values of p1 and p2 are needed to make (C, C) a Nash equilibrium of the induced game?
(b) What values of p1 and p2 will induce play of (C, C) and would arise in a subgame perfect equilibrium of the entire game (penalty announcements followed by the prisoners' dilemma)? Explain.
(c) Compare the unilateral commitments described here with contracts.