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I'm going to assume a little bit more and I'm going to assume that
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I haven't spelled maximized right, max will do
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they want to max their share of the vote.
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The reason this isn't a terrible assumption is
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you could think that getting a higher
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share of the vote gives you a mandate.
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Or, if this is a primary election,
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a larger share of the vote
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gives you a bigger push for the next primary or whatever.
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So we'll assume that they're trying to
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maximize their share of the vote.
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So we want to know what's going to happen in this game.