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The Prisoner's Dilemma

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So, what I want to talk about today in lecture is a game
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theoretic notion known as The Prisoners' Dilemma, which can
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be used to characterize a structure that is brought out
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both in Book Two of Plato's Republic and in chapter 13 of
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Hobbes' Leviathan.
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And the purpose of introducing you to this way of thinking
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about questions is exactly what we have been doing all
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semester long.
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It's taking a traditional set of philosophical issues and
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asking how it is that another discipline's methodology can
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shed light on those questions in a complementary way.
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So you'll recall at the beginning of the last lecture
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that I started off with a quote from the beginning of
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Book Two of Plato's Republic when Glaucon is answering
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Socrates' challenge to articulate the nature and
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origins of justice--the nature and origins of, roughly
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speaking, pro-social behavior.
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And I pointed out that the claim that Glaucon makes there
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takes the form as follows. "They say that to do justice--
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injustice is naturally good, to suffer injustice is bad,
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but that the badness of suffering so far exceeds the
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goodness of doing it that those who have done and
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suffered injustice and taken both but lack the power to do
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it and avoid suffering, decide that it's profitable to come
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to an agreement with each other neither to do injustice
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nor suffer it."
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And we illustrated that with the example of the two
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shepherds, one of whom steals another's horses and gains a
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certain amount of pleasure from it, but not as much as
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the displeasure that the stolen fellow receives
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likewise when the second steals the first.
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So both of them end up in a situation with less utility
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than they would have if they were cooperating and they come
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together and form some sort of pact.
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Glaucon continues with the passage that I also read you
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last class.
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He says, "Justice is intermediate between the best
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and the worst. The best is to do injustice without paying
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the penalty.
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The worst is to suffer it without being
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able to take revenge.
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Justice is a mean between these two extremes."
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But I didn't read you the sentence that follows that,
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which is one on which we'll be focusing in today's lecture.
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Because Glaucon continues by pointing out that on his view,
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and it will turn out, if you were thinking of justice as
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this kind of coordination, on anybody's view
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mathematically--
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can I ask one of the TFs to fix the door so that it
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doesn't slam as people walk in?
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