Question

11. The Tech football coaching staff has six basic offensive plays it runs every game. Tech has an upcoming game against State on Saturday, and the Tech coaches know that State employs five dif- ferent defemes. The coaches have estimated the number of yards Tch wil gain wrth each play against each defense, as shown in the following payoff table: Defense Blitz Play 54 Wide Tackle Nickel 63 Off tackle Option Toss sweep Draw Pass Screen 12 14 16 10 12 20 16 a. If the coaches employ an offensive game plan, they will use the maximax criterion. What b. If the coaches employ a defensive plan, they will use the maximin criterion. What will be c. What will be their best offensive play if State is equally likely to use any of its five will be their best play? their best play? defenses?

*all in excel*
two extra parts:

d) assume you have perfect information (and that states defense chooses from any of the 5 defenses with equal probability .2 for each): what's your expected value? compare this to (c) and explain the difference.

e) calculate the minimax regret and show regret table as part of your answer.

Answer 1

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