  This paper deals with fairness in stable marriage problems. The idea studied
here is to achieve fairness thanks to a Generalized Gini Index (GGI), a
well-known criterion in inequality measurement, that includes both the
egalitarian and utilitarian criteria as special cases. We show that determining
a stable marriage optimizing a GGI criterion of agents' disutilities is an
NP-hard problem. We then provide a polynomial time 2-approximation algorithm in
the general case, as well as an exact algorithm which is polynomial time in the
case of a constant number of non-zero weights parametrizing the GGI criterion.
