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what we want to rule out are those Nash equilibria
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that instruct players down the tree to
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play in sub-games according to strategies
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that are not Nash equilibria.
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Say it again, we want to rule out those Nash equilibria
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that instruct people way down the tree to
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play according to something which is not a Nash equilibrium.
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We want our new notion to say:
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wherever you find yourself in a tree,
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play Nash equilibrium and that's exactly
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what the definition's going to say.
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So a Nash equilibrium,