Chapter8: Game Theory
Section: Chapter Questions
Problem 8.2P
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Question
Consider the following representation of a hockey shootout. The shooter can shoot on their forehand, or deke to their backhand, and the goalie can anticipate either move. The number in each cell in the table below represents the percentage chance that the shooter scores for each pair of pure strategies.
Anticipate Forehand | Anticipate Backhand | |
Shoot Forehand | 20 | 40 |
Deke Backhand | 40 | 10 |
In the mixed strategy Nash equilibrium of this game, what is the percentage chance that the player scores? (ie. An 80% chance should be recorded as 80)
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