1. A point in tennis begins with one player (the server) serving the ball to the other player (the receiver). The server can choose to serve to the receiver's forehand or backhand, and the receiver can prepare for either a forehand or backhand serve. The serving game can be modeled according to the following matrix representation where the server's payoffs are the probability of scoring an ace and the receiver's payoffs are the probability of returning the serve. Server F B Receiver F 90,10 20,80 B 30,70 60,40 Find the mixed strategy Nash equilibrium of this game. 2. Consider the following game in matrix represenation form: Player 2 m r U 3.2 2,1 1,3 Player 1 M 2,1 1,5 0,3 D 1,3 4,2 2,2