Refer back to Chapter 5, in particular to the Prisoners' Dilemma in Figure. Imagine that these payoffs are monetary payoffs, with negative numbers being money that is taken away from a player.

a. Suppose that players only care about monetary payoffs, with $1 = 1 util. Find the pure-strategy Nash equilibria.
b. Suppose that players have a preference for fairness. Each player loses 1 utile for each dollar difference (in absolute value) between their payoffs. Show how the Prisoners' Dilemma payoffs would change by writing down a new normal form. Find the pure-strategy Nash equilibria.
c. Suppose that players have different fairness preferences than in part b. suppose that only the player who earns less money cares about fairness. That player loses 1 utile for each dollar less he or she earns than the other player. Write down the normal form of the Prisoners' Dilemma reflecting these new preferences. Find the pure-strategy Nashequilibria.

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Gross profit, cost Manager effort cost Gross profit (45-degree IIne) Manager effort Marginal gross profit, marginal cost MC MP しー Manager effort