A payoff matrix is shown below. With the payoffs in each field indicated in the form (Player 1’s payoff, Player 2’s payoff).     Player 2     Left Right Player 1 Up ($1, $1) ($2, $4) Down ($7, $8) ($3, $3) Which of the following is true?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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A payoff matrix is shown below. With the payoffs in each field indicated in the form (Player 1’s payoff, Player 2’s payoff).

 

 

Player 2

 

 

Left

Right

Player 1

Up

($1, $1)

($2, $4)

Down

($7, $8)

($3, $3)

Which of the following is true?

The only Nash Equilibrium is Player 1 playing ‘Up’ and Player 2 playing ‘Right’.
The only Nash Equilibrium is Player 1 playing ‘Down’ and Player 2 playing ‘Left’.
The only Nash Equilibrium is Player 1 playing ‘Down’ and Player 2 playing ‘Right’.
None of the other answers provided are true.
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