(Game Theory) While grading a final exam, an economics professor discovers that two students have virtually identical answers. She is convinced the two cheated but cannot prove it. The professor speaks with each student separately and offers the following deal: Sign a statement admitting to cheating. If both students sign the statement, each will receive an "F" for the course. If only one signs, he is allowed to withdraw from the course while the other student is expelled. If neither signs, both receive a "C" since the professor does not have sufficient evidence to prove cheating.

a.Draw the payoff matrix.

b.Which outcome do you expect? Why?