True or False: Any strategy can be defeated in a Blotto game.
8. Question 8 True or False: Any strategy can be defeated in a Blotto game. 1 point True False
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Country A is at war with Country B. Country B has far fewer resources than Country A. Which of the following is a good strategy for Country B?
7. Question 7 Country A is at war with Country B. Country B has far fewer resources than Country A. Which of the following is a good strategy for Country…
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Sasha has 80 troops allocated on 3 fronts. She has 40 on the 1st front, 40 on the 2nd front, and 0 on the 3rd front. What is the minimumminimum number of troops you would need to beat Sasha in this Blotto game? Assume – given that we’re looking for the minimumminimum – that you go second, having seen Sasha’s allocation, and that there are only two turns: Sasha’s first, then yours.
6. Question 6 Sasha has 80 troops allocated on 3 fronts. She has 40 on the 1st front, 40 on the 2nd front, and 0 on the 3rd front. What…
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Imagine the following scenario: Rufus and Cornelius are running in an election for Prime Minister. Cornelius has $1,000 to spend in advertising, while Rufus only has $500.
5. Question 5 Imagine the following scenario: Rufus and Cornelius are running in an election for Prime Minister. Cornelius has $1,000 to spend in advertising, while Rufus only has $500….
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Each year a small clothing company produces a new sweater design. The sales of each design have been shown to be independent random variables. Owing to changes in fashion, the company produces each design for three years. Assume that the value of the firm depends on its sales and that we can write the value at time tt as follows: V_t = S_t + S_{t-1} +S_{t-2}Vt=St+St−1+St−2 where S_tSt equals sales at time tt. Which of the following will be true of the firm’s value? More than one may be true.
4. Question 4 Each year a small clothing company produces a new sweater design. The sales of each design have been shown to be independent random variables. Owing to changes…
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Brett runs a casino. The odds that a person wins on a single hand of blackjack are 50%. Brett has had millions of people come through his casino. One day, a pit boss tells Brett that someone has just won 20 hands of blackjack in a row. Brett concludes that due to the length of this streak, the wins cannot possibly be fair (or in other words, random). Is Brett’s reasoning correct? That is to say, is Brett correct to conclude that a person cannot possibly win 20 hands of blackjack in a row without cheating?
3. Question 3 Brett runs a casino. The odds that a person wins on a single hand of blackjack are 50%. Brett has had millions of people come through his…
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A law firm has favorable outcomes in 80% of cases that go to court. They have repeated this feat for many, many years. They recruit the top talent and have some of the top lawyers in the country as partners. If we were to use the Skill vs. Luck Model to determine how much of the law firm’s success derives from skill, and how much derives from luck, would we expect the variable aa to be closer to 0 or to 1? The model tells us that Outcome = a*Luck + (1-a)*Skilla∗Luck+(1−a)∗Skill.
2. Question 2 A law firm has favorable outcomes in 80% of cases that go to court. They have repeated this feat for many, many years. They recruit the top…
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Which one of the following examples best illustrates the “Paradox of Skill”?
1. Question 1 Which one of the following examples best illustrates the “Paradox of Skill”? 1 point All the sprinters in the Olympic 100m dash are extremely skilled. However,…
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Which of the following measures of a network might you use to capture social capital, if we take social capital to indicate something like the productive capacity of a group? You may select more than one answer.
10. Question 10 Which of the following measures of a network might you use to capture social capital, if we take social capital to indicate something like the productive capacity…
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Suppose that we have a random clique network in which each person has 20 random friends and 100 clique friends. How many 2-friends does each person have?
9. Question 9 Suppose that we have a random clique network in which each person has 20 random friends and 100 clique friends. How many 2-friends does each person have?…