(Answered) Suppose that two players are playing the following

Engineering

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:

left 6,5 right 2,4

7,2 5,3

A) Does Player 1 have a dominant strategy, and if so what is it?

B) Does Player 2 have a dominant strategy and if so what is it?

C) For each of the following strategy combinations, write TRUE if it is a Nash Equilibrium, and FALSE if it is not:

i) Top/Left
ii) Top/Right
iii) Bottom/Left
iv) Bottom Right

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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