PRINC OF ECONOMICS PKG >CUSTOM<
7th Edition
ISBN: 9781305018549
Author: Mankiw
Publisher: CENGAGE C
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Question
Chapter 17, Problem 8PA
Subpart (a):
To determine
Payoff matrix.
Subpart (b):
To determine
Payoff matrix.
Subpart (c):
To determine
Payoff matrix.
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Two athletes of equal ability are competing for a prize of $10,000. 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 X dollars.
a) Draw a 2×2 payoff matrix describing the decisions the athletes face.
b) For what X is taking the drug the Nash equilibrium?
c) Does making the drug safer (that is, lowering X) make the athletes better or worse off? Explain.
John and Paul are walking in the woods one day when suddenly an angry bear emerges from the underbrush. They each can do one of two things: run away or stand and fight. If one of them runs away and the other fights, then the one who ran will get away unharmed (payoff of 0) while the one who fights will be killed (payoff -200). If they both run, then the bear will chase down one of them and eat them to death but the other one will get away unharmed. Assuming they don't know which one will escape we will call this a payoff of -100 for both. If they BOTH fight, then they will successfully drive off the bear but they may be injured in the process (payoff -20).
Construct a payoff matrix for this game and identify the pure strategy Nash equilibrium. (Indicate it with words not with a circle!)
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…
Chapter 17 Solutions
PRINC OF ECONOMICS PKG >CUSTOM<
Ch. 17.1 - Prob. 1QQCh. 17.2 - Prob. 2QQCh. 17.3 - Prob. 3QQCh. 17 - Prob. 1CQQCh. 17 - Prob. 2CQQCh. 17 - Prob. 3CQQCh. 17 - Prob. 4CQQCh. 17 - Prob. 5CQQCh. 17 - Prob. 6CQQCh. 17 - Prob. 1QR
Ch. 17 - Prob. 2QRCh. 17 - Prob. 3QRCh. 17 - Prob. 4QRCh. 17 - Prob. 5QRCh. 17 - Prob. 6QRCh. 17 - Prob. 7QRCh. 17 - Prob. 1PACh. 17 - Prob. 2PACh. 17 - Prob. 3PACh. 17 - Prob. 4PACh. 17 - Prob. 5PACh. 17 - Prob. 6PACh. 17 - A case study in the chapter describes a phone...Ch. 17 - Prob. 8PACh. 17 - Prob. 9PA
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