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Dominance rankings: illustrations

Explore how countries compare in terms of their infant mortality rates and class sizes in public schools. Analyze the distribution of these attributes and their correlation between individuals. Understand the overall working of the medical system and school quality in different regions.

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Dominance rankings: illustrations

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  1. Dominance rankings: illustrations Some illustrations

  2. 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 ?

  3. 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

  4. 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? )

  5. 2 cakes of different sizes: US & Sweden Sweden US

  6. Sharing the US cake

  7. Sharing the Swedish cake

  8. Mean income rankings vs efficiency principles

  9. Mean Income rankings vs efficiency principles

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

  11. 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

  12. Suppes efficiency

  13. Suppes efficiency

  14. Robin Hood and Mana ?

  15. Robin Hood and Mana ?

  16. Robin Hood and Mana ?

  17. Robin Hood and Mana ?

  18. Robin Hood and Mana ?

  19. Robin Hood and Mana ?

  20. Robin Hood and Mana ?

  21. Robin Hood and Mana ?

  22. Generalized Lorenz

  23. Relative Lorenz curves

  24. Mean income country ranking

  25. Generalized Lorenz dominance chart Switzerland US Austria Australia UK France Germany Canada Sweden Italy Spain Portugal India

  26. Efficiency-equality dominance chart US Sweden Austria India Germany France Switz. Italy Canada Australia Spain Portugal

  27. 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

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

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

  30. 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)

  31. Bidimensional dominance chart Germany Sweden France Switzerland US UK Austria Australia Canada Spain Italy Portugal India

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