Suppose that two players are playing the following game. Player 1 can choose either Top or Bottom, and Player 2 can choose either Left or Right. The payoffs are given in the following table: Player 1 Player 2   Left Right Top 6        1 9        4 Bottom 2        4 5        3 where the number on the left is the payoff to Player 1, and the number on the right is the payoff to Player 2.   D) What is Player 1’s maximin strategy? E) What is Player 2’s maximin strategy? F) If the game were played with Player 1 moving first and Player 2 moving second, using the backward induction method we went over in class, what strategy will each player choose?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Suppose that two players are playing the following game. Player 1 can choose either Top or Bottom, and Player 2 can choose either Left or Right. The payoffs are given in the following table:

Player 1 Player 2
  Left Right
Top 6        1 9        4
Bottom 2        4 5        3

where the number on the left is the payoff to Player 1, and the number on the right is the payoff to Player 2.  

D) What is Player 1’s maximin strategy?
E) What is Player 2’s maximin strategy?
F) If the game were played with Player 1 moving first and Player 2 moving second, using the backward induction method we went over in class, what strategy will each player choose?

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