# Game Theory - Repeated Games Problem

I have a problem with the following assignment: How can you construct a pair of pure strategies (repeated game) that yields the reward $(\sqrt 2, \sqrt 2)$ for the following game (left value of each entry is the reward for the row player, right value is the reward for the column player):
$\begin{pmatrix} 2, 1 & 0, 0 \\ 0, 0 & 1, 2 \end{pmatrix}$