A. B. Atkinson and F. Bourguignon, The Comparison of Multi-Dimensioned Distributions of Economic Status, The Review of Economic Studies, vol.49, issue.2, pp.183-201, 1982.
DOI : 10.2307/2297269

S. Bazen and P. Moyes, 5. International comparisons of income distributions, Research on Economic Inequality, vol.9, pp.85-115, 2003.
DOI : 10.1016/S1049-2585(03)09006-9

F. Bourguignon, Family size and social utility, Journal of Econometrics, vol.42, issue.1, pp.67-80, 1989.
DOI : 10.1016/0304-4076(89)90076-6

P. Dasgupta, A. K. Sen, and D. Starrett, Notes on the measurement of inequality, Journal of Economic Theory, vol.6, issue.2, pp.180-187, 1973.
DOI : 10.1016/0022-0531(73)90033-1

K. Decancq, Elementary multivariate rearrangements and stochastic dominance on a Fr??chet class, Journal of Economic Theory, vol.147, issue.4, pp.1450-1459, 2012.
DOI : 10.1016/j.jet.2011.11.001

A. Decoster and E. Ooghe, A BOUNDED INDEX TEST TO MAKE ROBUST HETEROGENEOUS WELFARE COMPARISONS, Review of Income and Wealth, vol.2, issue.9, pp.361-376, 2006.
DOI : 10.1111/j.1475-4991.2006.00194.x

U. Ebert, Social Welfare when Needs Differ: An Axiomatic Approach, Economica, vol.64, issue.254, pp.233-244, 1997.
DOI : 10.1111/1468-0335.00075

L. Epstein and S. M. Tanny, Increasing Generalized Correlation: A Definition and Some Economic Consequences, The Canadian Journal of Economics, vol.13, issue.1, pp.16-34, 1980.
DOI : 10.2307/134617

G. Fields and J. Fei, On Inequality Comparisons, Econometrica, vol.46, issue.2, pp.305-316, 1978.
DOI : 10.2307/1913902

M. Fleurbaey, C. Hagneré, and A. Trannoy, Welfare comparisons with bounded equivalence scales, Journal of Economic Theory, vol.110, issue.2, pp.309-336, 2003.
DOI : 10.1016/S0022-0531(03)00035-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.384.1169

N. Gravel and P. Moyes, Ethically robust comparisons of bidimensional distributions with an ordinal attribute, Journal of Economic Theory, vol.147, issue.4, pp.1384-1426, 2012.
DOI : 10.1016/j.jet.2012.01.001
URL : https://hal.archives-ouvertes.fr/hal-00796050

N. Gravel, P. Moyes, and B. Tarroux, Robust International Comparisons of Distributions of Disposable Income and Regional Public Goods, Economica, vol.21, issue.303, pp.432-461, 2009.
DOI : 10.1111/j.1468-0335.2008.00688.x
URL : https://hal.archives-ouvertes.fr/halshs-00481437

J. Hadar and W. Russell, Stochastic Dominance in Choice under Uncertainty, Essays on Economics Behavior under Uncertainty, 1974.

S. P. Jenkins and P. J. Lambert, RANKING INCOME DISTRIBUTIONS WHEN NEEDS DIFFER, Review of Income and Wealth, vol.20, issue.4, pp.337-356, 1993.
DOI : 10.1016/0047-2727(77)90018-4

S. C. Kolm, The Optimal Production of Social Justice, Public Economics, 1969.
DOI : 10.1007/978-1-349-15294-0_7

E. L. Lehmann, Ordered Families of Distributions, The Annals of Mathematical Statistics, vol.26, issue.3, pp.399-419, 1955.
DOI : 10.1214/aoms/1177728487
URL : http://projecteuclid.org/download/pdf_1/euclid.aoms/1177728487

D. Levhari, J. Paroush, and B. Peleg, Efficiency Analysis for Multivariate Distributions, The Review of Economic Studies, vol.42, issue.1, pp.87-91, 1975.
DOI : 10.2307/2296822
URL : http://restud.oxfordjournals.org/cgi/content/short/42/1/87

M. Marinacci and L. Montrucchio, Ultramodular Functions, Mathematics of Operations Research, vol.30, issue.2, pp.311-332, 2005.
DOI : 10.1287/moor.1040.0143

P. Moyes, Comparisons of heterogeneous distributions and dominance criteria, Journal of Economic Theory, vol.147, issue.4, pp.1351-1383, 2012.
DOI : 10.1016/j.jet.2011.12.001
URL : https://hal.archives-ouvertes.fr/hal-00650745

A. Muller and M. Scarsini, Fear of loss, inframodularity, and transfers, Journal of Economic Theory, vol.147, issue.4, pp.1490-1500, 2012.
DOI : 10.1016/j.jet.2011.02.002

L. P. Osterdal, The mass transfer approach to multivariate discrete first order stochastic dominance: Direct proof and implications, Journal of Mathematical Economics, vol.46, issue.6, pp.1222-1228, 2010.
DOI : 10.1016/j.jmateco.2010.08.018

A. K. Sen, On Economic Inequality, 1973.
DOI : 10.1093/0198281935.001.0001

A. H. Tchen, Inequalities for Distributions with Given Marginals, The Annals of Probability, vol.8, issue.4, pp.814-827, 1980.
DOI : 10.1214/aop/1176994668

K. Y. Tsui, Multidimensional inequality and multidimensional generalized entropy measures: An axiomatic derivation, Social Choice and Welfare, vol.16, issue.1, pp.145-157, 1999.
DOI : 10.1007/s003550050136
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.383.4865