Consider the Matching Pennies game: Player B – heads Player B – tails

Consider the Matching Pennies game:

Player B – heads Player B – tails
Player A – heads 1, -1 -1, 1
Player A – tails -1, 1 1, -1

Suppose Player B always uses a mixed strategy with probability of 3/4 for head and 1/4 for tails. Which of the following strategies for Player A provides the highest expected payoff?
A) Mixed strategy with probability 1/4 on heads and 3/4 on tails
B) Mixed strategy with probability 1/2 on heads and 1/2 on tails
C) Mixed strategy with probability 3/4 on heads and 1/4 on tails
D) Pure strategy in which Player A always selects heads

ANSWER

D