Economic Theory 1 A – Week 2
Inequality, Policy
and Government
Outline
Covering the following units in “The Economy” textbook
5.1 5.12 5.13 19.1 19.2 19.5 19.8 22.1
2
Remember to use the Glossary section on www.core-econ.org
endowment
human capital
3
Measuring the degree of inequality�The Lorenz Curve and the Gini Coefficient
4
By careful of averages…
10 people all receiving income of R5 000 a month
i.e. average income is R5 000 a month
10 people with 5 receiving income of R10 000 a month and 5 receiving R500 a month
i.e. average income is R5 250 a month
((5 x R1000 + 5 x R500))/10 = R5250
5
Lorenz Curve
6
Perfect equality
7
100
90
100
Cumulative share of the population from the lowest to the highest income(%)
Cumulative share of income (%)
Perfect equality line
90
50
10
50
10
Lorenz curve
A Lorenz curve for wealth ownership
8
100
Landowners’
share of land
0
90
100
0
Cumulative share of the population from least to most land owned (%)
90 farmers
10 landowners
Cumulative share of land (%)
Perfect equality line
Gini Coefficient
9
g ≈ A / (A + B)
Approximating Gini from Lorenz Curve
A = 0.5 (because the area of a triangle = ½bh)
B = 0
Gini = A / (A + B) = 0.5 / (0.5 + 0) = 1
A = 0 (as the Lorenz curve is the perfect equality line)
B = 0.5 (the entire area under the perfect equality line = ½bh)
Gini = A / (A + B) = 0 / (0 + 0.5) = 0
10
Approximating Gini from Lorenz Curve
For a high degree of inequality:
A = area of a triangle ½ b x h
= (0.5)(0.9)(1)
= 0.45
B = area of a triangle ½ b x h
= (0.5)(0.1)(1)
= 0.05
Gini = A / (A + B)
= 0.45 / (0.45 + 0.05)
= 0.45 / 0.5 = 0.9
11
Four steps to Gini
12
Example of measuring the Gini coefficient
|a – b| = R10000 – R6000 = R4000
|a - c| = R12000 – R6000 = R6000
|b – c| = R12000 – R10000 = R2000
(R4000 + R6000 + R2000)/3 = R4000
Mean income of the population = 6000+10000+12000/3 = 9333
0.429/2 = 0.214
g = 0.214
13
Inequality and policy interventions�Redistribution and Pre-distribution
14
Three dimensions of economic inequality
15
Inequality in the USA, Sweden and Japan
16
Dimensions of inequality
17
Impact of Government policy on inequality
18
Redistribution �
19
Market income
Income from wages, salaries, self-employment, business and investments
Disposable income
Subtract direct taxes
Add cash transfers
Inequality in the Netherlands
20
Cumulative share of the population (ranked by income)
Cumulative share of income
Comparing Market and Disposable Gini
21
Comparing Market Gini and Disposable Gini across various countries
22
Concentration of revenue and expenditure in South Africa
23
Source data: Inchauste et al (2014) appendix table A3.4
South Africa’s redistributive effort in context
World Bank (2014). "Fiscal Policy and Redistribution in an Unequal Society." South Africa Economic Update 6.
24
Gini coefficients under different income concepts
Pre-distribution
25
Pre-distribution
26
West Bengal: Addressing inequality through changes to property rights
27
Operation Barga illustrated on a (hypothetical) Lorenz Curve
28
K
L
A model of the sharecropping Gini
A fraction n are sharecroppers. The sharecroppers receive a share s of total output
The area of square is 1
A+B = 0.5 (where B = B1 + B2 + B3)
A = 0.5 – B
g = A/(A+B) = (0.5 - B)/0.5 = 1 – 2B
= 1 – 2(B1 + B2 + B3)
Calculating Areas
B1 triangle = ns/2
B2 rectangle = (1-n)s
B3 triangle = ((1-n)(1-s))/2
Calculating g
g = 1 – 2(B1 + B2 + B3)
= 1 – 2(ns/2 + (1-n)s + ((1-n)(1-s))/2)
= 1 – (ns + 2s – 2ns + 1 – s – n + ns)
= 1 – (1+ ns + ns – 2ns + 2s – s – n)
= n - s
29
n
s
1
0
1
A model of the sharecropping : g = n - s
Conclusion
30
Minimum wages
31
Potential impact of minimum wages
32
Global inequality�Between people and between nations
33
Income deciles and the 90/10 ratio (again)
34
Find out where you fit into the distribution of income at this link:
Average income by decile in 2014
35
Share of the 1%
36
The inequality U-turn in some countries
37
… but not others
38
39
A closer look at South Africa:
The market income share of the top 1% (1910 – 2015)
Inequalities between and within nations
40
Measuring global inequality
41
Red line: Gini coefficient of nations (a Lorenz curve of average per capita incomes per country)
Blue line: Gini coefficient for the world population (a Lorenz curve of all individuals)
Inequality across countries
42
Inequality among people
43
Interpretation is that most inequality of income is accounted for by inequality across countries
44
In Summary
Most of the inequality in the world is between individuals in different countries (the red series is a large proportion of the blue series) and is not between individuals in the same country
But this is changing: The world’s two largest and once very poor economies—India and China—raised their average incomes more rapidly than the richer countries, reducing between-country inequality, and because inequalities across individuals in these countries and many other large nations became greater, this has resulted in increasing within-country inequality.
Inequality between individuals is declining: The net result of these opposite trends (1) across country inequality falling and (2) within country inequality rising is that inequality among the individuals of the world has started to decline.
as more people experience rising incomes in countries like India and China inequality rises in those countries and this has resulted in less inequality across the world as a whole (comparing the individuals across the world to each other)
45
Accidents of birth, endowments and intergenerational inequality
Taking a chance: what do you choose?
47
2014
ten deciles of income
Accidents of birth
48
Gender inequality
49
Gender inequality in the USA
50
Ratio of girls to boys schooling
51
Intergenerational inequality
52
Intergenerational inequality
53
Measuring intergenerational inequality
54
Comparing intergenerational inequality in the US and Denmark
55
Intergenerational elasticity
56
Factors influencing endowments and inequality
57
Government’s role in the economy
58
Government as an actor in the economy
59
Britain: Taxation as a share of GDP
60
USA: Government spending as a share of GDP
Even in the USA – generally regarded as the most “free market” society – government now accounts for 40% of GDP
61
Source data : Mauro et al (2013)
War of 1812
Civil War
WW1
WW2
Vietnam
India: Government Spending as a share of GDP
62
South Africa: Government spending as a share of GDP
63
Source data : Mauro et al (2013)
Government policies as part of the solution
64
Government as part of the problem
65
Main points again
66
Inequality, Policy and Government
67
Inequality, Policy and Government
68