QUESTION 1
Consider the following simultaneous game.
Player 1
A
B
C
X
45, 15
60, 50
15, 10
Player 2
Y
15, 10
60, 20
30, 10
Z
30, 60
45, 45
60, 20
a. [2 pts] For each player, indicate if any strategies are strictly dominant. Briefly explain your
answer.
b. [2 pts] For each player, indicate if any strategies are strictly dominated. Briefly explain your
answer.
c. [3 pts] For each player, indicate if any strategies are weakly dominant. Briefly explain your
answer.
d. [7 pts] List all pure-strategy Nash equilibria of the above game.
e. [3 pts] Does your answer to part (d) change if Player 1's payoff of playing B doubles? Briefly
explain your answer.
f. [3 pts] Is the following statement true or false (explain your answer): In any strategic-form
game, if a player has a dominant strategy, then all of the other strategies of that player
are dominated.
