(Game Theory) While grading a final exam, an econom- ics 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 cours- while the other student is expelled. If neither signs, both receive a "C" because the professor does not have suf- ficient evidence to prove cheating. a. Draw the payoff matrix. b. Which outcome do you expect? Why?

(Game Theory) While grading a final exam, an econom- ics 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 cours- while the other student is expelled. If neither signs, both receive a "C" because the professor does not have suf- ficient evidence to prove cheating. a. Draw the payoff matrix. b. Which outcome do you expect? Why?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.9P

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While grading a final exam, an economics professordiscovers that two students have virtually identical answers.She is convinced the two cheated but cannot prove it. The professorspeaks with each student separately and offers the followingdeal: Sign a statement admitting to cheating. If both studentssign the statement, each will receive an “F” for the course. Ifonly one signs, he is allowed to withdraw from the course whilethe other student is expelled. If neither signs, both receive a “C”because the professor does not have sufficient evidence to provecheating.a. Draw the payoff matrix.b. Which outcome do you expect? Why?
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