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Article Dans Une Revue Economic Theory Année : 2021

Ranking distributions of an ordinal variable

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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
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Dates et versions

hal-02383191 , version 1 (10-02-2021)

Identifiants

Citer

Nicolas Gravel, Brice Magdalou, Patrick Moyes. Ranking distributions of an ordinal variable. Economic Theory, 2021, 71 (1), pp.33-80. ⟨10.1007/s00199-019-01241-4⟩. ⟨hal-02383191⟩
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