More on One-out, Two-base baseball. The key strategic variable for the team in t
ID: 1217640 • Letter: M
Question
More on One-out, Two-base baseball. The key strategic variable for the team in the field is where to position the rover fielder. The key strategic variable for the batting team is where to hit the ball. The following table gives the strategies and payoffs for the first play. The number in the table is the probability of a hit. The team at bat wants a large probability, the team in the field wants a small one. Experience has taught the rovers to wait at the mound and then move suddenly to the left, right or center field as the ball is hit. Thus, you can think of this as a simultaneous move situation.
A Does the team at bat have a dominant strategy? If so what is it?
_____________
B Does the team at bat have a dominated strategy? If so what is it?
______________
C Write out the best responses, for each team, to each of the other team’s moves.
Team at bat Team in field
Team in Team at Team at Team in
field bat bat field
D What are the Nash equilibrium strategies?
Team in the field Pitchers field Left field ound Bunt 250 150 180 100 Hit to right 240 280 300 230 Team at bat Hit to left 300 150 220 Hit to center 350 200 350 210Explanation / Answer
A) No the team at bat do not has a dominant strategy. They play in response to what team in field plays.
B) Yes the team at bat has a dominated strategy. It is always better to hit to centre than to play bunt. Hence Bunt is dominated strategy.
c)If Team in the field does below moves team at bat does the boxes ticked
If Team at bat does below moves team in field does the boxes ticked
D) (right to hit, pitcher's mound) is the equilibrium strategy
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