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Just check, that exactly corresponds to
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the easy and hard thing we just had before.
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I'll say it again, Player i's strategy "s'i"
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is weakly dominated by her strategy "si"
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if she always does at least as well by choosing "si"
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than choosing "s'i" regardless of what everyone else does,
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and sometimes she does strictly better.
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It seems a pretty powerful lesson.
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Just as we said you should never choose a strictly dominated strategy,
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you're probably never going to choose a weakly dominated strategy either,
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but it's a little more subtle.
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Now that definition,