Bill and Mary sell ice-cream on the boardwalk in Atlantic City. They are competitors. There are two spots available to set up shop on the boardwalk: spot A and spot B. Spot A gets more foot traffic than B. The amount of foot traffic at a spot determines the payoffs of the ice-cream sellers. If one seller chooses A and the other chooses B, then the seller on A gets a payoff of $150o, while the seller on B gets a payoff of $800. If both sellers choose A, then they each get $700. If they both choose B, then they each get $600. Suppose Mary gets to choose her location first and that Bill observes this choice before making his own choice. Which of the following is not consistent with a Nash Equilibrium of this game? 1) Mary chooses A, and Bill chooses B. 2) Mary chooses B, and Bill chooses A. 3) None of the above.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.8P
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Bill and Mary sell ice-cream on the boardwalk in Atlantic
City. They are competitors. There are two spots available
to set up shop on the boardwalk: spot A and spot B. Spot
A gets more foot traffic than B. The amount of foot traffic
at a spot determines the payoffs of the ice-cream sellers. If
one seller chooses A and the other chooses B, then the
seller on A gets a payoff of $1500, while the seller on B
gets a payoff of $800. If both sellers choose A, then they
each get $700. If they both choose B, then they each get
$600.
Suppose Mary gets to choose her location first and that
Bill observes this choice before making his own choice.
Which of the following is not consistent with a Nash
Equilibrium of this game?
1) Mary chooses A, and Bill chooses B.
2) Mary chooses B, and Bill chooses A.
3) None of the above.
Transcribed Image Text:Bill and Mary sell ice-cream on the boardwalk in Atlantic City. They are competitors. There are two spots available to set up shop on the boardwalk: spot A and spot B. Spot A gets more foot traffic than B. The amount of foot traffic at a spot determines the payoffs of the ice-cream sellers. If one seller chooses A and the other chooses B, then the seller on A gets a payoff of $1500, while the seller on B gets a payoff of $800. If both sellers choose A, then they each get $700. If they both choose B, then they each get $600. Suppose Mary gets to choose her location first and that Bill observes this choice before making his own choice. Which of the following is not consistent with a Nash Equilibrium of this game? 1) Mary chooses A, and Bill chooses B. 2) Mary chooses B, and Bill chooses A. 3) None of the above.
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