Consider the Matching Pennies game:

Suppose Player A always uses a pure strategy that selects heads. What is Player B's optimal response to this pure strategy?
A) Always select heads.
B) Always select tails.
C) Mixed strategy with probability 1/2 on heads and 1/2 on tails
D) There is no optimal pure or mixed strategy for this situation.

Question

Consider the Matching Pennies game:

Suppose Player A always uses a pure strategy that selects heads. What is Player B's optimal response to this pure strategy?
A) Always select heads. 
B) Always select tails. 
C) Mixed strategy with probability 1/2 on heads and 1/2 on tails 
D) There is no optimal pure or mixed strategy for this situation.

Quizplus · Accepted Answer

In the Matching Pennies game, Player B's optimal response to Player A's pure strategy of always selecting heads is to always select tails. This is because in this game, the payoffs are such that if both players select the same outcome (heads or tails), Player A wins and if they select different outcomes, Player B wins. Therefore, by always selecting tails, Player B ensures that they win whenever Player A selects heads.

Consider the Matching Pennies Game