3. 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.

a. Draw a payoff table that shows the strategies of Marcus and Sophia and the outcomes associated with those strategies.

b. Does either player have a dominant strategy?

c. Is there a Nash equilibrium in this game?

Explain.