"Sex-equal" Stable matching

This paper presents a solution concept that minimizes envy between groups 111 a bilateral matching market. This concept is designed to select stable matchings that are not men or women optimal. The idea is to compute the total number of women preferred by the men to their woman mates and the total number of men preferred by women to their mates in that matching. The absolute value of the distance between these two numbers generates the stable matchings with less envy between groups. An algorithm is provided to compute them