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of Nash equilibrium from the first half of the class,
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and we want to be able to use the idea
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of backward induction from the second half of the class.
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But what we're learning here is that Nash equilibrium,
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if we just take the notion of Nash equilibrium
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and plunk it down on these sequential move games,
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it will produce equilibria
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that don't make any sense.
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So we need a more refined notion of equilibrium,
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a better notion of equilibrium
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than just Nash equilibrium to deal with these settings
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where we have both simultaneity and sequential moves.