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Dominance rankings: illustrations. Some illustrations. 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
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Dominance rankings: illustrations Some illustrations
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 ?
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
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 Sweden US
Mean income rankings vs efficiency principles Mean income is larger in US than in UK and in UK than in France
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
Generalized Lorenz dominance chart Switzerland US Austria Australia UK France Germany Canada Sweden Italy Spain Portugal India
Efficiency-equality dominance chart US Sweden Austria India Germany France Switz. Italy Canada Australia 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 ? a red society Literacy rate (%) 70 60 50 40 700 400 600 500 Income (rupees/month)
Aversion to correlation ? a red society Literacy rate (%) and a white society 70 60 50 40 700 400 600 500 Income (rupees/month)
Aversion to correlation ? a red society Literacy rate (%) and a white society white society is more just 70 60 50 40 700 400 600 500 Income (rupees/month)
Bidimensional dominance chart Germany Sweden France Switzerland US UK Austria Australia Canada Spain Italy Portugal India