Revisit the tennis game in Section 2.A of this chapter. Recall that the mixed-strategy Nash equilibrium found in that section had Evert playing DL with probability 0.7, while Navratilova played DL...

Revisit the tennis game in Section 2.A of this chapter. Recall that the mixed-strategy Nash equilibrium found in that section had Evert playing DL with probability 0.7, while Navratilova played DL with probability 0.6. Now suppose that Evert injures herself later in the match, so her DL shots are much slower and easier for Navratilova to defend. The payoffs are now given by the following table:

(a) Relative to the game before her injury (see Figure 7.1), the strategy DL seems much less attractive to Evert than before. Would you expect Evert to play DL more, less, or the same amount in a new mixed strategy equilibrium? Explain.

(b) Find each player’s equilibrium mixture for this game. What is the expected value of the game to Evert?

(c) How do the equilibrium mixtures found in part (b) compare with those of the original game and with your answer to part (a)? Explain why each mixture has or has not changed.