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.