Question
Consider the following representation of a soccer shootout. The shooter can shoot to their left, or to their right, and the goalie can anticipate either
Consider the following representation of a soccer shootout. The shooter can shoot to their left, or to their right, 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 Left | Anticipate Right | |
Shoot Left | 70 | 90 |
Shoot Right | 80 | 40 |
In the mixed strategy Nash equilibrium of this game, what is the probability that the shooter shoots to the right (written as a percentage)? (ie. An 80% probability should be recorded as 80).
******Secondary question - How do the equilibrium strategies for both players change if the goalie or shooter improves in one of the strategies (altering payoffs for both players)?
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