Principles of Economics (12th Edition)
12th Edition
ISBN: 9780134078779
Author: Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher: PEARSON
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Chapter 18, Problem 8.1P
To determine
Identify the role of wealth distribution in different residents.
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how to find the 90/10 income ratio?
Scientists studying the economics of a country, community, or group of people are often interested
in the distribution of wealth, where wealth is understood to mean the income or the personal assets
of individual households. A powerful tool for illustrating how wealth is distributed across a society
is the Lorenz curve (invented by the American economist Max Otto Lorenz in 1905).
A typical Lorenz curve is given by y = L(x), where 0 < x < 1 and 0 < y < 1. The variable
I represents the fraction of all households in the society and y = L(x) represents the fraction of
the total wealth that is owned by the fraction x of the society. For example, for the Lorenz curve
shown in Figure 1, we see that L(0.5) = 0.2, which means that 0.5 (50%) of the society owns 0.2
(20%) of the wealth.
bottom
botom
y A
1-
Line of perfect
equality
0.8 of households
control 0.6 of
the wealth.
Lorenz curve
0.5 of households
control 0.2 of
the wealth.
0.2
B
0.5
0.8 a1 1
Fraction of Households
Figure I
Fraction of…
How do the greatest disparities of wealth exist in the United States?
Chapter 18 Solutions
Principles of Economics (12th Edition)
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