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Hi, in this next set of models, we're
going to talk about a very specific thing,

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growth. We're going to talk about economic
growth, even more specific, we're going to

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ask why is it that some countries are
rich, and other countries are poor. To put

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a framework around that, a model around
that, we're going to start out looking at

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an even simpler model a model of
exponential growth. So here's a model

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where you just put money in the bank and
we talk about sort of the rate at which it

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grows and how that accumulates over time.
From that base model, we are then going to

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construct a model with a very primitive
economy and show how economies grow. Now,

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one of the surprising results of that
model of economic growth is going to be

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that there are limits, that without
innovation, growth stops. So we will move

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from that simple model to something called
a solo growth model. The solo growth model

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allows for there to be innovation and
shows how innovation has this sort of

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multiplier effect on our collective
well-being and why innovation is so

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important. And then we'll talk a little
bit about some extensions, in particular

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we'll talk about once we've got this model
how do we use it to think about why some

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countries. Successful in other countries
are, and really what, oh, enables. Growth

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to continue over time. Okay so to get us
started; first we just need some basic

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definitions. So first, what do I mean by
growth, growth of what? Well you could

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think of growth, of overall human
happiness, right? That would be a nice

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thing to think about, but that's harder to
measure in some respects, right? So we're

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going to focus on the same things
economists do, which is GDP. So this is

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Gross Domestic Product. So this is just
the total market value of all the goods

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and services produced within an economy,
okay? And there's data kept up, so if you

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look here's a whole bunch of countries in
the world and their GDPs. So you see

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Luxemburg at the very top, look down a
little ways and you'll see the United

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States, right at fifteenth and then, you know, we have
a per-capita GDP of about

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47,000 and further down so when you see
Spain and there's very poor countries

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where GDP is you know measured in single
digits in thousand dollars per person.

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Okay. We wanna know, the like, you know,
what causes growth. So here's sort of an

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interesting graph. Right here's Botswana
and Zimbabwe. Now, these countries aren't

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the same, right. They're both in Africa.
But they, Botswana only has about

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2,000,000 people, Zimbabwe has about
13,000,000 people. So Zimbabwe's much

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larger country. But look at GDP, right;
you can see that Zimbabwe has pretty much

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stayed flat. Hasn't gone up from 1966 to
2005. Where in contrast right Botswana has

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been very successful. So understand what
is it that allows one country to succeed

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and another country to not succeed. And
we'll talk about a book by John O Simoglin

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James Robinson and called why nations
fail. Which really focuses on this line

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here right, like why is it the case that
Zimbabwe hasn't been successful. Now if

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you look at GDP. When you talk about
growth it means changes in GDP. Here is

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the annual change in real GDP since 1930
in United State. When they said real.

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Notice that economist said real. When the
economist said real. What they mean is

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taking into account inflation. So
inflation got up by ten percent and the

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economy by fifteen percent. You gotta
subtract off that ten percent just due to the

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price is rising. Look at GDP and see if you
can notice it. During the war right there

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are huge increase of GDP. And let me have
this nice post war fairly growth is fairly

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high. You noticed it stays fairly high. So
you know. Averages around you know 3-4

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percent throughout this whole. Range
right. You see occasional dips, but

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basically, you see fairly you know,
steady concentrates of growth. But if you

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look from 2006 to 2011 right, when we had
this contraction, you see this period here

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where growth fell. We had massive
decreases in growth and those are you

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know, people really feel that right,
because they're much worse off. Now another way

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we look at growth, you can ask, sort of,
can you sustain super high levels of

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growth? So if you look at China, you see
these sort of unbelievable levels of

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growth, right? These things are all in the
8-9 percent range over the last few

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decades. Over the last decade and a half,
'cause what you can think is, oh my God,

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is China gonna become 50 times the size of
the United States? When I was a kid,

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people said the same thing about Japan.
And if you look at Japan's growth rates,

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what we see is, again, from 1950 to, you
know the early 1980's, you see these huge

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growth rates. But then, if you notice
since then, right, the growth rates have

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fallen. So. One of the things this very
simple model will do is explain why that

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is the case. Why you can sustain really
high growth rates for a long time and then

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have them fall off when you sort of catch
up to the other countries in the world.

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Which is why when you look at China even
though you see these high growth rates

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now, a lot of people expect those to fall
in the future. We are going to start out

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by looking at exponential growth. This is
where you put money in the bank and it

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just grows and grows and grows, up, up,
up, up, up. Like this, right. When we look

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at economic growth it tends to not look
Way. Over time growth tends to fall off.

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And that's because we put money into
things like machinery and technologies but

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those depreciate over time and that
prevents us from getting that upward

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sloping curve. And so Economic growth is
often going to sort of go the other way

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it?s going to start out fast and then tail
off sort of like it did in Japan unless we

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can get some innovation, and that will
shift the whole curve up and I'll show you

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what I mean in a minute. One last thing
before we get started. When you think

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about growth, right that's focusing on
material things material wants and you can

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ask yourself okay, does this really matter
shouldn't we be more interested in whether people are

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happy. And we probably should be. Right? It's
probably more important that we're happy

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than we have a lot of stuff. We could all
trade stuff for happiness. There's a

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question. Right? Does GDP, does higher
growth make us happier? Well, that's

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actually a fairly complicated question.
So, here's a graph that shows GDP per

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capita. And then here's a measure of life
satisfaction. There's a survey data of

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life satisfaction. There's a. Notice the
problem here. Gdp is what we can think of

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as really hard, 'cause we can measure it.
Life satisfaction is sort of soft, because

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you're surveying people. And so, yes,
in one day I can say my life is

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great. If you ask me another day, and I
might say, oh, my life isn't that great.

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So you've gotta survey a lot of people.
You've gotta make sure you've framed the

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question the right way. Still, with all
those caveats, here's what you see. Does

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money make you happier? And I wanna focus
on two different parts of this graph. If

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you look in this region. The answer is no.
As you go from 20,000 to 60,000 people

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just don't get much happier. But if you
look in this region. [sound] The answer's

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decidedly yes. Money does make you
happier. Now the reason for this may be

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just some basic services, like health
care, food, shelter. Those sorts of

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things. So getting from zero to 10,000,
that's huge. Getting from 30,000 to 60,000

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maybe that doesn't matter that much. So
lifting people out of poverty clearly

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makes them happier. That's one reason to
focus on GDP. Now, once you?re making

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$100,000 [laugh] a year, it may not make
you any happier to make $120,000 a year.

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What we give. Does growth make you happy
at least according to the survey data?

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Yes, if you?re lifting poor people up. No,
if you?re making rich people richer. Okay.

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So that's the framework for what we're
gonna do. We're going to start out by

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talking about exponential growth and then we're
gonna move on to economic growth models and

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we'll do three with a simple economic
growth model, we'll do something called

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Solow's growth model, and then I'll
talk just a tiny bit about something

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called endogenous growth models. All
right. Let's get started. Thank you.
