9. For the payoff matrix below, consider a sequential version of the game in which Player 2 moves first and then Player 1 moves second. Which of the following is not a correct statement?

Microeconomic Theory
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Chapter8: Game Theory
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9. For the payoff matrix below, consider a sequential version of the game in which Player 2 moves first
and then Player 1 moves second. Which of the following is not a correct statement?
Player 1
Top
Center
Bottom
Left
1,2
5,1
6,0
Player 2
Middle
7,1
11,2
-4,3
Right
10,4
1,0
8,5
The subgame perfect payoffs coincide with those of a Nash equilibrium
b. Depending on Player 2's move, Player 1 will sometimes optimally choose Bottom
c. Player 2 will choose Right in the subgame perfect equilibrium
d. Player 2 would be willing to pay a positive $ amount to move first rather than second
e. Player 1 would be willing to pay a larger $ amount than Player 2 to move first
Transcribed Image Text:9. For the payoff matrix below, consider a sequential version of the game in which Player 2 moves first and then Player 1 moves second. Which of the following is not a correct statement? Player 1 Top Center Bottom Left 1,2 5,1 6,0 Player 2 Middle 7,1 11,2 -4,3 Right 10,4 1,0 8,5 The subgame perfect payoffs coincide with those of a Nash equilibrium b. Depending on Player 2's move, Player 1 will sometimes optimally choose Bottom c. Player 2 will choose Right in the subgame perfect equilibrium d. Player 2 would be willing to pay a positive $ amount to move first rather than second e. Player 1 would be willing to pay a larger $ amount than Player 2 to move first
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