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So the payoff here is something like u1(left)
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if the goal keeper dives to the left is equal to 4,
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by which I mean there's a 40% chance of scoring.
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So the number for the...
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The payoff for the shooter is his probability of scoring and the payoff
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for the goal keeper is just the negative of that.
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Let's keep things simple.
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As I said before, for now we'll ignore the possibility
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that the goal keeper could stay put.
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So how should we start analyzing this important game?
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Well we start with the ideas we learned already several weeks ago now,
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or more than a week ago,