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And in some sense, you had a foreshadowing of this problem a little bit
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on the homework assignment, where you saw on one of the problems
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I think it was the second problem on the homework assignment
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that deleting weakly dominated strategies can lead you to do things
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that might make you feel a little bit uneasy.
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So weak domination is really not such a secure notion as strict domination,
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and we'll see here as a trivial example of that.
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And again, so here's the trivial example, not an interesting example,
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but it just makes the point.
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So here's a 2 x 2 game.
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Player 1 can choose up or down and Player 2 can choose left or right,
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and the payoffs are really trivial: