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Dominance rankings: illustrations Some illustrations.

Published byDerek Cole Modified over 8 years ago

Presentation on theme: "Dominance rankings: illustrations Some illustrations."— Presentation transcript:

1 Dominance rankings: illustrations Some illustrations

2 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

3 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

4 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

5 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

6 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

7 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

8 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

9 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

10 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

11 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

12 AustraliaAustriaCanadaFranceGermanyItalyPortugalSpainswedenSwitz.UKUSAIndia 473368154285617058553554254627475808867948985403789 92371073089779555100126575460254079056146158598110251019 1179512850119351179312024805961107045105401733410883146871168 1458014725143381344113229943875498646119821980613337181421309 173771658816839150921485710933866610113133712204415854215811462 2045618665194941696616614126291002811656147232455418579252061649 2420320921223821916918376147691141513639161472769621574293871859 2846724042259552238221221173421393016535181403209525188348192167 3459228069309582683425201207431811320968210913825430190433732694 5453738539444574017539217311743204735457308186184949022790304735

14 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 ?

16 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

18 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? )

19 2 cakes of different sizes: US & Sweden US Sweden

20 Sharing the US cake

21 Sharing the Swedish cake

22 Mean income rankings vs efficiency principles

23 Mean Income rankings vs efficiency principles

24 Mean income rankings vs efficiency principles Mean income is larger in US than in UK and in UK than in France

25 Mean Income ranking vs efficiency principles Mean income is larger in US than in UK and in UK than in France but US and UK do not dominate France for the Suppes principle

26 Suppes efficiency

28 Robin Hood and Mana ?

36 Generalized Lorenz

37 Relative Lorenz curves

39 Mean income country ranking countryMean income US28 265 Switzerland26 693 Australia21 998 Canada19 962 UK19 812 Austria19 194 France18 158 Germany17 661 Sweden15 168 Italy13 522 Spain13 221 Portugal11 501 India1 885

40 Generalized Lorenz dominance chart SwitzerlandUS UK Australia Canada Austria FranceGermany Sweden Italy Spain Portugal India

41 Efficiency-equality dominance chart Sweden US India AustraliaCanada Austria GermanyFrance Switz. Italy SpainPortugal

42 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

43 Aversion to correlation ? Literacy rate (%) Income (rupees/month) 400 700 40 70 500 60 50 600 a red society

44 Aversion to correlation ? Literacy rate (%) Income (rupees/month) 400 700 40 70 500 60 50 600 a red society and a white society

45 Aversion to correlation ? Literacy rate (%) Income (rupees/month) 400 700 40 70 500 60 50 600 a red society and a white society white society is more just