4. Two students will take an exam. The one with the higher score will receive an A and e other one will receive a B. Student 1's score equals x₁ + 1.5 where x₁ is the amount of ort she invests in studying. Student 2's score is x2 where x2 is the amount of effort she erts. Assume that ₁ and ₂ can take any value in [0, 1, 2, 3, 4, 5]. The payoff to student s 10 x; if she gets an A and 8 Xi if she gets a B. a) Which strategies can be removed by iterated deletion of strictly dominated strategies? b) Which strategies can be removed by iterated deletion of weakly dominated strategies?
4. Two students will take an exam. The one with the higher score will receive an A and e other one will receive a B. Student 1's score equals x₁ + 1.5 where x₁ is the amount of ort she invests in studying. Student 2's score is x2 where x2 is the amount of effort she erts. Assume that ₁ and ₂ can take any value in [0, 1, 2, 3, 4, 5]. The payoff to student s 10 x; if she gets an A and 8 Xi if she gets a B. a) Which strategies can be removed by iterated deletion of strictly dominated strategies? b) Which strategies can be removed by iterated deletion of weakly dominated strategies?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![4. Two students will take an exam. The one with the higher score will receive an A and
the other one will receive a B. Student 1's score equals x1 + 1.5 where x1 is the amount of
effort she invests in studying. Student 2's score is x2 where x2 is the amount of effort she
exerts. Assume that x1 and x2 can take any value in [0, 1, 2, 3, 4, 5]. The payoff to student
i is 10 – x;
if she gets an A and 8 – x; if she gets a B.
a) Which strategies can be removed by iterated deletion of strictly dominated strategies?
b) Which strategies can be removed by iterated deletion of weakly dominated strategies?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6871a655-6df9-491d-9e6a-d916a0d3d66e%2F9c267d77-293f-440b-a60d-a888f2150320%2Fjbi47k_processed.png&w=3840&q=75)
Transcribed Image Text:4. Two students will take an exam. The one with the higher score will receive an A and
the other one will receive a B. Student 1's score equals x1 + 1.5 where x1 is the amount of
effort she invests in studying. Student 2's score is x2 where x2 is the amount of effort she
exerts. Assume that x1 and x2 can take any value in [0, 1, 2, 3, 4, 5]. The payoff to student
i is 10 – x;
if she gets an A and 8 – x; if she gets a B.
a) Which strategies can be removed by iterated deletion of strictly dominated strategies?
b) Which strategies can be removed by iterated deletion of weakly dominated strategies?
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