(1, 2) (1, 3) (-1, 2) (-1, -1) (2, 2) (2, 3) (-1, 3) (4, 4) (3, 1) (3, 1) (2, 1) (-3, -3)
Remember, player A chooses the row while player B chooses the column. Player A's payoffs are shown in black while player B's payoffs are in red.
a) Is there a strategy i for player A that strictly dominates some other strategy i' for player A? If so, give an example of such i and i'.
b) Is there a strategy i for player A that dominates some other strategy i for player A, but not strictly? If so, give an example of such i and i'.
c) Is there a dominant strategy for player A? If so, which one? (Remember, this is a strategy that dominates all other strategies for player A.)
d) Is there a strictly dominant strategy for player A? If so which one? (Remember, this is a strategy that strictly dominates all other strategies for player A.)
e) Is there a strategy j for player B that strictly dominates some other strategy j' for player B? If so, give an example of such j and j'.
f) Is there a strategy j for player B that dominates some other strategy f for player B? If so, give an example of such j and j'.
g) Is there a dominant strategy for player B? If so, which one? (Remember, this is a strategy that dominates all other strategies for player B.) h) Is there a strictly dominant strategy for player B? If so which one? (Remember, this is a strategy that strictly dominates all other strategies for player B.)
i) Does this game have a Nash equilibrium? If so, list all the Nash equilibria.