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In fact, there is, there is going to be one.
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So our exercise now is, let's find a mixed strategy Nash Equilibrium,
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and before we find it, let's just interpret what it's going to mean.
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A mixed strategy Nash Equilibrium in this game,
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is going to be a mix for Venus
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between hitting the ball to Serena's left and Serena's right,
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and a mix for Serena between leaning left and leaning right,
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such that each person's mix, each person's randomization
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is a best response to the other person's randomization.
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Since these players are sisters and have played each other
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many, many times, not just in competition but probably in practice,
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it seems like a reasonable idea