Let us finally turn to the principle of (income-related) health transfers. The principle of health
transfers, used in the characterization of the generalized Gini index, says that transferring health
from someone with higher health to someone with lower health does not lead to a reduction in
social welfare provided the transfer does not change the health ranking of the individuals. One
may object against this that it is not always desirable to transfer health from a healthier person
to a less healthy person, e.g. when the healthier person is poor and the less healthy person is
rich. The principle of income-related health transfers, which is the socioeconomic inequalities
version of the principle of health transfers and which was used in the characterization of the
generalized concentration index, requires that transferring health from someone who is better-off
in terms of socioeconomic status to someone who is worse-off does not lead to a reduction in
social welfare provided the transfer does not change the ranking of the individuals in terms of