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In Facts and Tools question 2, we saw that big markets create a big demand for inventions

Economics Nov 25, 2020

In Facts and Tools question 2, we saw that big markets create a big demand for inventions. This is an example of what Adam Smith meant when he said that the division of labor is limited by the extent of the market." Now let's look at how big markets impact the supply side of inventions The big idea is quite simple: More people means more ideas In order to create new ideas, you need to have people trying to come up with new ideas. In 1800, there were approximately 300 million humans on the planet-roughly equal to today's U.S. population. If good ideas are "one in a million"- that is, if one person per year out of a million comes up with a world-shaking idea like contact lenses or James Brown's song "The Payback" or the video game Grand Theft Auto-how many great new ideas will occur in the world of 1800? How many will occur in a world of 6 billion people? b. More realistically, people in the rich coun- tries are most likely to invent earth-shaking ideas and share them with others. There's nothing special about people in rich coun- tries, but they have the education and the laboratories and the Internet connections that will make it practical to invent and spread ideas. If only the top 20% of the earth's population is really in the running to create new ideas, how many new big ideas will come along each year in 1800 and today? c. If half the population of India and China become rich enough to create new ideas (to simplify, assume populations of 1 billion each), and start coming up with big ideas at the same rate as the top 20%, how many big ideas will India and China alone create for the planet every year? d. Many people think there are too many people on the planet. (As P. J. O'Rourke once wrote, many people's attitude toward global population is “Just enough of me, way too much of you.") Look at your an- swer from part b. If the world's population now gets cut in half from the current 6 bil- lion, how many big ideas will come along each year?

Expert Solution

a. One person per year out of a million comes up with a good idea.

If there are 300 million humans are there in the year 1800.

Then the number of new ideas is 300.

1 idea – 1 million

1 million = 1,000,000 and 300 million= 300,000,000

300000000/1000000 = 300.

If there are 6 billion humans are there in the year

Then the number of new ideas is 6000.

1 idea – 1 million

1 million = 1000000 and 6 billion= 6,000,000,000

6,000,000,000/1,000,000 = 6000.

 

b. In 1800 population was 300 million. Top 20% of 300 million is 600,000.

Then the number of new ideas is 0.6.

600,000/ 1000000 = 0.6

Today’s population is 6 billion. Top 20% of 6 billion is 1.2 billion.

Then the number of new ideas is 1200.

1,200,000,000/1000000 = 1200

 

c. India and china population is 1 billion each. So total makes 2 billion. Top 20% of 2 billion is 400,000,000.

Then the number of new ideas is 400.

400,000,000/1000000 = 400

 

d. Half of the 6 billion populations are 3 billion.

            Then the number of new ideas is 3000.

            1 idea – 1 million

            1 million = 1000000 and 3 billion= 3,000,000,000

            3000000000/1000000 = 3000.

( if you take top 20% of 3 billion, which is 600,000,000 billion.

            Then the number of new ideas is 600.

             600,000,000/1000000 = 600 )

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