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

If Player A always selects heads, Player B's optimal strategy is to always select tails, as this will result in a payoff of 1 for Player B. If Player B selects heads, their payoff is -1, and if they select tails, their payoff is 1. Therefore, Player B has a dominant strategy of always selecting tails.

Consider the Matching Pennies Game: Suppose Player a Always