If game were played with player 1 moving first and player

Reference no: EM13391845

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 2
Player 1		Left	Right
Player 1	Top	6 5	9 4
	Bottom	7 4	5 3

where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B.

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 discussed in the class notes, what strategy will each player choose?

Reference no: EM13391845

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