Please see below Suppose that two players are playing the following game. Player

Question

Please see below

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: where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B. Does player 1 have a dominant strategy, and if so what is it? Does player 2 have a dominant strategy and if so what is it? For each of the following strategy combinations, write TRUE if it is a Nash Equilibrium, and FALSE if it is not: Top/Left Top/Right Bottom/Left Bottom Right What is Player 1's maximin strategy? What is player 2's maximin strategy? 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?

Explanation / Answer

a)Yes,player 1 has a dominant strategy.it is the 'top' choice whch is dominant.

b)no, player 2 doesn't have any dominant strategy.

c)true

false

false

true

d)player 1 maximum strategy = 55+36=91

e)player 2 maximum strategy = any one of the two = 55+21=40+36=76(that is why B doesn't have a dominant strategy.)

f)player 1 will choose top-left and player 2 will choose bottom-right.

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