Suppose Marcus and Sophia are playing tennis and it is Marcus’s turn to hit the ball and Sophia’s to receive it. If Sophia can receive the ball, she will get 1 point and Marcus will get 0. However, if she fails to receive the ball, Marcus will get 1 point and she will get 0. Marcus can hit the ball either to the right or to the left, and Sophia can receive the ball on either side.
Does either player have a dominant strategy?