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So let's just try and think about
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whether there are other equilibria.
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So, for example suppose now,
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just to make life a little bit more interesting,
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suppose that the voters were actually two rows
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and just allow me the suspension of disbelief that
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these rows have the same number of people in them,
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I know they don't really.
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So now what I want you to think of is
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that at every political position there are two voters,
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and hence two possible candidates.
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There's two people at every position,