PRIN MACROECON LL+CNCT+SMARTBOOK
6th Edition
ISBN: 9781260580792
Author: Frank
Publisher: MCG CUSTOM
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Chapter 1, Problem 1.5CC
To determine
Explain the basketball assistant’s idea.
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A football coach says that given two players, he always prefers the one who is bigger and faster. Is his preference relation transitive? Is it complete? Prove it. The second coach says that she always prefers the one who is bigger or faster. Is her preference relation transitive? Is it complete?
Prove it.
Sophia is a contestant on a game show and has selected the prize that lies behind door number 3.The show’s host tells her that there is a 50% chance that there is a $15,000 diamond ring behindthe door and a 50% chance that there is a goat behind the door (which is worth nothing to Sophia,who is allergic to goats). Before the door is opened, someone in the audience shouts, “I will giveyou the option of selling me what is behind the door for $8,000 if you will pay me $4,500 for thisoption.” [Assume that the game show allows this offer.]a. If Sophia cares only about the expected dollar values of various outcomes, will she buythis option?b. Explain why Sophia’s degree of risk aversion might affect her willingness to buy thisoption
Two athletes of equal ability are competing for a prize of $12,000. Each is deciding whether to take a dangerous performance-enhancing drug. If one athlete takes the drug and the other does not, the one who takes the drug wins the prize. If both or neither take the drug, they tie and split the prize. Taking the drug imposes health risks that are equivalent to a loss of XX dollars.
Complete the following payoff matrix describing the decisions the athletes face. Enter Player One's payoff on the left in each situation, Player Two's on the right.
Player Two's Decision
Take Drug
Don't Take Drug
Player One's Decision
Take Drug
,
,
Don't Take Drug
,
,
True or False: The Nash equilibrium is taking the drug if X is greater than $6,000.
True
False
Suppose there was a way to make the drug safer (that is, have lower XX).
Which of the following statements are true about the effects of making the drug safer? Check all that…
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PRIN MACROECON LL+CNCT+SMARTBOOK
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