Jay and Charles, two equally talented athletes, expect to compete in the upcoming Swimming match in the 200-meter freestyle. Each of them is trying to decide how many hours to train each week for the first race. We will use the Tullock model to describe their behavior. For each athlete, winning is worth 120 hours per week, so we measure the prize as 120 hours. The cost of an hour of effort is, of course, an hour. Suppose that Jay plans to train 10 hours per week, and Charles plans to train 20 hours per week. Question 1 What is the probability that Jay wins the race? O 1/4 O 1/3 1/2 O 2/3

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Author:Amos Gilat
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Jay and Charles, two equally talented athletes, expect to compete in the upcoming
Swimming match in the 200-meter freestyle. Each of them is trying to decide how
many hours to train each week for the first race. We will use the Tullock model to
describe their behavior.
For each athlete, winning is worth 120 hours per week, so we measure the prize as
120 hours. The cost of an hour of effort is, of course, an hour.
Suppose that Jay plans to train 10 hours per week, and Charles plans to train 20
hours per week.
Question 1
What is the probability that Jay wins the race?
O 1/4
O 1/3
1/2
O 2/3
Transcribed Image Text:Jay and Charles, two equally talented athletes, expect to compete in the upcoming Swimming match in the 200-meter freestyle. Each of them is trying to decide how many hours to train each week for the first race. We will use the Tullock model to describe their behavior. For each athlete, winning is worth 120 hours per week, so we measure the prize as 120 hours. The cost of an hour of effort is, of course, an hour. Suppose that Jay plans to train 10 hours per week, and Charles plans to train 20 hours per week. Question 1 What is the probability that Jay wins the race? O 1/4 O 1/3 1/2 O 2/3
What is the Jay's expected payoff?
40
20
30
10
Transcribed Image Text:What is the Jay's expected payoff? 40 20 30 10
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