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So in particular,
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we're going to use the notation Pi(Si) to be the probability
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www.YYeTs.net
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that Player I plays Si given that he's mixing using Pi.
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So Pi(Si) is the probability that Pi assigns to the pure strategy Si.
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Let's immediately refer that back to our example.
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So for example, if I'm playing (1/3, 1/3, 1/3)
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in rock, paper, scissors
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then Pi is (1/3, 1/3, 1/3)
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and Pi of rock, so Pi(R)--is a 1/3.
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So without belaboring it,
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that's all I'm doing here, is developing some notation.