Question - Consider the following game with two players A and B. Player A has three actions: Top, middle and bottom. Player B has two actions left and right. The payoffs are shown in the following payoff matrix:
|
|
Player B
|
|
Left
|
Right
|
|
Player A
|
Top
|
(1, 2)
|
(2, 3)
|
|
Middle
|
(0, 1)
|
(1, 4)
|
|
Bottom
|
(3, 0)
|
(1, 2)
|
A) Does either player have a dominant strategy? Explain.
B) Find all the Nash Equilibria to the game.