Patrick Clean Don't clean Clean $5 $4 $6 Patrick (Click to select) Cameron (Click to select) Is there a Nash equilibrium in this game? Don't clean $6 $3 Yes, and both Patrick and Cameron choose to clean. O No, there is no Nash equilibrium. Yes, and neither Patrick nor Cameron chooses to clean. O Yes, and Patrick chooses to clean while Cameron chooses not to clean. Yes, and Cameron chooses to clean while Patrick chooses not to clean.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.3P
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Consider the payoff matrix below which shows the cleaning strategies of two roommates, Patrick and Cameron.

Patrick
Clean
Don't clean
$5
$2
Patrick (Click to select)
Clean
Cameron
$5
$4
$2
$6
Cameron (Click to select)
Is there a Nash equilibrium in this game?
Don't clean
$6
$3
Yes, and both Patrick and Cameron choose to clean.
No, there is no Nash equilibrium.
Yes, and neither Patrick nor Cameron chooses to clean.
Yes, and Patrick chooses to clean while Cameron chooses not to clean.
O Yes, and Cameron chooses to clean while Patrick chooses not to clean.
Transcribed Image Text:Patrick Clean Don't clean $5 $2 Patrick (Click to select) Clean Cameron $5 $4 $2 $6 Cameron (Click to select) Is there a Nash equilibrium in this game? Don't clean $6 $3 Yes, and both Patrick and Cameron choose to clean. No, there is no Nash equilibrium. Yes, and neither Patrick nor Cameron chooses to clean. Yes, and Patrick chooses to clean while Cameron chooses not to clean. O Yes, and Cameron chooses to clean while Patrick chooses not to clean.
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