answer to e? and #2

a. What is the pitching team's best response to the team at bat putting in a pinch hitter? b. What is the pitching team's best response to the team at bat not putting in a pinch hitter? c. What is the Nash equilibrium of this game? d. What is the payoff to each team in equilibrium? e. Does the pitching team have a dominant strategy? Explain. 2. Explain why the following statement is either true or false: lam the most talented goalie on my soccer team, and so 1 should always play goalie. 3. The following game describes the interaction between a relief pitcher and a pinch hitter in a baseball game. The pitcher has 3 possible pitches, and the hitter can choose to look for any one of the three pitches. The payoffs for the possible outcomes are given in the game box below a. What is the hitter's best response to the pitcher throwing a fastball? a. What is the pitching team's best response to the team at bat putting in a pinch hitter? b. What is the pitching team's best response to the team at bat not putting in a pinch hitter? c. What is the Nash equilibrium of this game? d. What is the payoff to each team in equilibrium? e. Does the pitching team have a dominant strategy? Explain. 2. Explain why the following statement is either true or false: lam the most talented goalie on my soccer team, and so 1 should always play goalie. 3. The following game describes the interaction between a relief pitcher and a pinch hitter in a baseball game. The pitcher has 3 possible pitches, and the hitter can choose to look for any one of the three pitches. The payoffs for the possible outcomes are given in the game box below a. What is the hitter's best response to the pitcher throwing a fastball