Question

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 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.

Answer

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