Asked by
Joseph Escobedo
on Oct 14, 2024
Verified
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) run to the right side with probability .87.
C) run to the two sides with equal probability.
D) be sure to run to the right side.
E) run to the right side with probability .70.
Nash Equilibrium
A concept in game theory where no participant can gain by changing strategies if the strategies of the other participants remain unchanged.
Michigan Football
The intercollegiate football program at the University of Michigan, known for its rich history and contributions to the sport of American football.
Gain Yards
In sports, particularly in American football, it refers to the advancement of the ball down the field to gain distance towards the opponent's end zone.
- Improve comprehension of Nash equilibrium in varying contexts of strategic situations.
- Employ mixed strategy equilibria in understanding game theory scenarios.
- Identify the criticality of decision-making based on probabilities in strategic gameplay.
Verified Answer
JA
Learning Objectives
- Improve comprehension of Nash equilibrium in varying contexts of strategic situations.
- Employ mixed strategy equilibria in understanding game theory scenarios.
- Identify the criticality of decision-making based on probabilities in strategic gameplay.