Dominance rankings: illustrations

Some illustrations

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

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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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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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Class sizes (number of children/class)

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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? )

2 cakes of different sizes: US & Sweden

US

Sweden

Sharing the US cake

2% 4%5%

6%

8%

9%

10%12%

15%

29%

Sharing the Swedish cake

4%6%

7%

8%

9%

10%

11%12%

14%

19%

Mean income rankings vs efficiency principles

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Mean Income rankings vs efficiency principles

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Mean income rankings vs efficiency principles

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Mean income is larger in USthan in UK and in UK than inFrance

Mean Income ranking vs efficiency principles

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Mean income is larger in USthan in UK and in UK than inFrance but US and UK do notdominate France for the Suppesprinciple

Suppes efficiency

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Suppes efficiency

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Robin Hood and Mana ?

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Robin Hood and Mana ?

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individual rank

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India

Generalized Lorenz

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India

Canada

Relative Lorenz curves

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

individual rank

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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

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600

a red society

Aversion to correlation ?

Literacy rate (%)

Income (rupees/month)400 700

40

70

500

6050

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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

Bidimensional dominance chart

Switzerland

USUKAustralia Canada Austria

FranceGermany Sweden

Italy

Spain

Portugal

India