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for example,
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(A,B) is a Nash Equilibrium and (B,A) is a Nash Equilibrium,
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but unfortunately they're not symmetric,
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and so far we're focusing on games that are symmetric,
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this is random matching.
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There's no asymmetry in the rows--in the row and column player,
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although in the handout--
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not the handout,
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in the reading packet I made for you--
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they do also look at some asymmetric versions of games,
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but for now we're just looking at symmetry.
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So neither (A,B) nor (B,A) will serve our purpose