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It means that choosing position 2
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always gives me a higher share of the vote
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than choosing position 1,
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no matter where the other candidate positions herself.
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It does not mean 2 beats 1.
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So let's take Steven's conjecture and see if it's true.
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So, in particular,
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let's start working out what share of the votes
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you'd get if you chose position 1 or position 2,
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against different positions the other guy can choose.
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So, for example,
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what we're going to do is we're going to test