dominance rankings: illustrations some illustrations
TRANSCRIPT
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
Australia Austria Canada France Germany Italy Portugal Spain sweden Switz. UK USA India
4733 6815 4285 6170 5855 3554 2546 2747 5808 8679 4898 5403 789
9237 10730 8977 9555 10012 6575 4602 5407 9056 14615 8598 11025 1019
11795 12850 11935 11793 12024 8059 6110 7045 10540 17334 10883 14687 1168
14580 14725 14338 13441 13229 9438 7549 8646 11982 19806 13337 18142 1309
17377 16588 16839 15092 14857 10933 8666 10113 13371 22044 15854 21581 1462
20456 18665 19494 16966 16614 12629 10028 11656 14723 24554 18579 25206 1649
24203 20921 22382 19169 18376 14769 11415 13639 16147 27696 21574 29387 1859
28467 24042 25955 22382 21221 17342 13930 16535 18140 32095 25188 34819 2167
34592 28069 30958 26834 25201 20743 18113 20968 21091 38254 30190 43373 2694
54537 38539 44457 40175 39217 31174 32047 35457 30818 61849 49022 79030 4735
0
10000
20000
30000
40000
50000
60000
70000
80000
disposable income
1 2 3 4 5 6 7 8 9 10
individual rank
Australia
France
Germany
Italy
Spain
sweden
UK
USA
India
Another attribute: regional infant mortality
Infant mortality (number of children who die before the age of one per thousand births) is a good indicator of the overall working of the medical system of the region where individuals live
How do countries compare in terms of the different infant mortality rate that they offer to their citizens on the basis of their place of residence ?
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5.00
10.00
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20.00
25.00
30.00
35.00
40.00
45.00
50.00
55.00
60.00
65.00
70.00
Number of deads per 1000
1 2 3 4 5
infant mortality groups
Australia
France
Germany
Italy
Spain
Sweden
UK
US
India
Other attribute: average class size in public schools
How do countries compare in terms of the distribution of the class sizes at public school ?
Class size: a good indicator of the school quality
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2.00
4.00
6.00
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10.00
12.00
14.00
16.00
18.00
20.00
Class sizes (number of children/class)
1 2 3 4 5
Groups of Class size
Australia
France
Germany
Italy
Spain
Sweden
UK
US
General principles that can be derived from these comparisons Countries differ by the total amount of each
attribute they allocate to their citizens :« size of the cake »
They also differ by the way they share this cake
Less obviously, they also differ by the way they correlate the attribute between people (are individuals who are « rich » in income also those who are « rich » in health, or education? )
Mean income rankings vs efficiency principles
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10000
20000
30000
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50000
60000
70000
80000
disposable income
1 2 3 4 5 6 7 8 9 10
individual rank
France
UK
USA
Mean Income rankings vs efficiency principles
0
10000
20000
30000
40000
50000
60000
70000
80000
disposable income
1 2 3 4 5 6 7 8 9 10
individual rank
France
UK
USA
Mean income rankings vs efficiency principles
0
10000
20000
30000
40000
50000
60000
70000
80000
disposable income
1 2 3 4 5 6 7 8 9 10
individual rank
France
UK
USA
Mean income is larger in USthan in UK and in UK than inFrance
Mean Income ranking vs efficiency principles
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10000
20000
30000
40000
50000
60000
70000
80000
disposable income
1 2 3 4 5 6 7 8 9 10
individual rank
France
UK
USA
Mean income is larger in USthan in UK and in UK than inFrance but US and UK do notdominate France for the Suppesprinciple
0
50000
100000
150000
200000
250000
1 2 3 4 5 6 7 8 9 10
individual rank
cu
mu
late
d t
ota
l in
co
me Australia
France
Germany
Italy
Spain
Sweden
UK
US
India
Generalized Lorenz
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0,10
0,20
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0,40
0,50
0,60
0,70
0,80
0,90
1,00
1 2 3 4 5 6 7 8 9 10
Australia
France
Germany
Italy
Spain
Sweden
Uk
Us
India
Canada
Relative Lorenz curves
0
0,1
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0,7
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0,9
1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
individual rank
cu
mu
late
d t
ota
l in
co
me Germany
Australia
Spain
France
Italy
Sweden
UK
USA
Mean income country ranking country Mean income
US 28 265
Switzerland 26 693
Australia 21 998
Canada 19 962
UK 19 812
Austria 19 194
France 18 158
Germany 17 661
Sweden 15 168
Italy 13 522
Spain 13 221
Portugal 11 501
India 1 885
Generalized Lorenz dominance chart
Switzerland US
UKAustralia
Canada
Austria
France Germany
Sweden
Italy
Spain
Portugal
India
Efficiency-equality dominance chart
SwedenUS
India
AustraliaCanada
Austria
Germany FranceSwitz.
Italy
Spain Portugal
Important challenge: to extend to many attributes
Same welfarist ethics Suitable generalization of poverty notions
(poverty in several dimensions) No Lorenz curves New issue: Correlation between
attributes
Aversion to correlation ?
Literacy rate (%)
Income (rupees/month)400 700
40
70
500
6050
600
a red society
Aversion to correlation ?
Literacy rate (%)
Income (rupees/month)400 700
40
70
500
6050
600
a red society
and a white society
Aversion to correlation ?
Literacy rate (%)
Income (rupees/month)400 700
40
70
500
6050
600
a red society
and a white society
white society is more just