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- handle: 10670/1.atyrpy
- hal: hal-02383191
- doi: 10.1007/s00199-019-01241-4
- WOS: 000505411600001
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info:eu-repo/semantics/altIdentifier/doi/10.1007/s00199-019-01241-4
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Mots-clés
distributions dominance transfers ordinal inequality D - Microeconomics/D.D3 - Distribution D - Microeconomics/D.D6 - Welfare Economics/D.D6.D63 - Equity, Justice, Inequality, and Other Normative Criteria and MeasurementSujets proches
Social inequality Social equality Inequality EgalitarianismCiter ce document
Nicolas Gravel et al., « Ranking distributions of an ordinal variable », Archive Ouverte d'INRAE, ID : 10.1007/s00199-019-01241-4
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Résumé
We establish an equivalence between three criteria for comparing dis- tributions of an ordinal variable taking finitely many values. The first criterion is the possibility of going from one distribution to the other by a finite sequence of increments and/or Hammond transfers. The latter transfers are like the Pigou-Dalton ones, but without the requirement that the amount transferred be fixed. The second criterion is the unanimity of all comparisons of the distributions performed by a class of additively separable social evaluation functions. The third criterion is a new statis- tical test based on a weighted recursion of the cumulative distribution. We also identify an exact test for the possibility of going from one dis- tribution to another by a finite sequence of Hammond transfers only. An illustration of the usefulness of our approach for evaluating distributions of self-reported happiness level is also provided