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we could actually play this game, but isn't a very exciting game,
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so let's leave our playing for later, and instead,
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let's try and figure out what are the Nash Equilibria
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in this game and how we're going to go about finding it.
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The way we're going to go about finding them
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is going to mimic what we did last time.
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Last time, we had a more complicated game
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which was two players with a continuum of strategies,
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and what we did was we figured out
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Player 1's best responses and Player 2's best responses:
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Player 1's best response to what Player 2's doing
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and Player 2's best response to what Player 1 is doing;