Consider the following game: (a) Graph the expected payoffs from each of Professor Plum’s strategies as a function of Mrs. Peacock’s p-mix. (b) Over what range of p does Revolver yield a higher...

Consider the following game:

(a) Graph the expected payoffs from each of Professor Plum’s strategies as a function of Mrs. Peacock’s p-mix.

(b) Over what range of p does Revolver yield a higher expected payoff for Professor Plum than Knife?

(c) Over what range of p does Revolver yield a higher expected payoff than Wrench?

(d) Which pure strategies will Professor Plum use in his equilibrium mixture? Why?

(e) What is the mixed-strategy Nash equilibrium of this game?