P2
L R
P1 U 3,1 2,2
D 0,2 2,3

Assume Row plays U with probability p and Column plays L with probability q. Answer the following questions accordingly.

HINT: Start with pure strategy Nash equilibria. Note that there may be mixed strategy Nash equilibria where one of the players play a pure strategy.

a. Is (p=0.75, q=0) a Nash equilibrium for this game?
b. Is (p=0.4, q=0) a Nash equilibrium for this game?
c. Is (p=1, q=0.5) a Nash equilibrium for this game?
d. How many Nash equilibria does this game have? Explain and state the equilibria.