-Professor Nash teaches game theory at Gigantic State University (GSU). Just prior to the final exam, Professor Nash announces that students who score in the top half of the class will receive an A, while students who score in the bottom half will receive an F. There are just two types of students at GSU: Egg heads and knot heads. The students must decide whether to study for the final exam or not study and party. The payoffs for this game are summarized in Figure 6.7. What is the Knot Head's optimal mixing rule?
A) Randomly study 2 out of 7 times.
B) Randomly party 3 out of 7 times.
C) Randomly study 3 our of 4 times.
D) Randomly party 1 out of 5 times.
E) Answers a and b are correct.

Question

-Professor Nash teaches game theory at Gigantic State University (GSU). Just prior to the final exam, Professor Nash announces that students who score in the top half of the class will receive an A, while students who score in the bottom half will receive an F. There are just two types of students at GSU: Egg heads and knot heads. The students must decide whether to study for the final exam or not study and party. The payoffs for this game are summarized in Figure 6.7. What is the Knot Head's optimal mixing rule?
A) Randomly study 2 out of 7 times. 
B) Randomly party 3 out of 7 times. 
C) Randomly study 3 our of 4 times. 
D) Randomly party 1 out of 5 times. 
E) Answers a and b are correct.

Quizplus · Accepted Answer

The Knot Head's optimal mixing rule is to randomly study 2 out of 7 times to make the Egg Head indifferent between studying and partying.

-Professor Nash Teaches Game Theory at Gigantic State University (GSU)