9. In the game played in the class, "Guess 2/3 of the average", assume there are 3 students, each guesses a number between 0 and 100 (including 0 and 100) simultaneously. The winner will be the one whose number is closest to 2/3 of the average. Which of the following is a Nash Equilibrium for this game? A. Everyone guesses "0" Everyone guesses "100" B. C. One student guesses "0", one guesses "100" and one guesses "50" D. One student guesses "0", one guesses "0" and one guesses "100" E. None of the above

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Chapter8: Game Theory
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9. In the game played in the class, "Guess 2/3 of the average",
assume there are 3 students, each guesses a number between 0
and 100 (including 0 and 100) simultaneously. The winner will
be the one whose number is closest to 2/3 of the average. Which
of the following is a Nash Equilibrium for this game?
A.
Everyone guesses "0"
B.
Everyone guesses "100"
C.
One student guesses "0", one guesses "100" and
one guesses "50"
D.
One student guesses "0", one guesses "0" and one
guesses "100"
E.
None of the above
Transcribed Image Text:9. In the game played in the class, "Guess 2/3 of the average", assume there are 3 students, each guesses a number between 0 and 100 (including 0 and 100) simultaneously. The winner will be the one whose number is closest to 2/3 of the average. Which of the following is a Nash Equilibrium for this game? A. Everyone guesses "0" B. Everyone guesses "100" C. One student guesses "0", one guesses "100" and one guesses "50" D. One student guesses "0", one guesses "0" and one guesses "100" E. None of the above
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