The Old Michigan Football Coach Had Only Two Strategies, Run

question 11

Multiple Choice

The old Michigan football coach had only two strategies, Run the Ball to the Left Side of the line, and Run the Ball to the Right Side.The defense can concentrate either on the left side or the right side of Michigan's line.If the opponent concentrates on the wrong side, Michigan is sure to gain at least 5 yards.If the defense defended the left side and Michigan ran left, Michigan would be stopped for no gain.But if the opponent defended the right side when Michigan ran right, Michigan would still gain at least 5 yards with probability .70.It is the last play of the game and Michigan needs to gain 5 yards to win.Both sides choose Nash equilibrium strategies.In Nash equilibrium, Michigan would

• A)run to the right side with probability .77.
• B)be sure to run to the right side.
• C)run to the right side with probability .87.
• D)run to the two sides with equal probability.
• E)run to the right side with probability .70.

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