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One reason it's not immediately obvious
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is not only is no strategy dominated here,
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but there is no pure strategy Nash Equilibrium in this game,
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In this little sub game.
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there is no pure strategy Nash Equilibrium,
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and notice that I added the qualifier now.
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Previously I would just have said Nash Equilibrium,
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but now that we have mixed strategies in the picture,
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I am going to talk about pure strategy Nash Equilibrium,
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it was those that are the only involving pure strategies.
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Okay, so why is there no pure strategy Nash Equilibrium?
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Well let's have a look.