Before revision:  In contrast, individual-no-envy with three or more families  and individual-egalitarian-equivalence with two or more familiesare typically incompatible with efficiency, unlike the situation in an economy of individuals. The common market equilibrium approach to fairness is of limited use in economies with families. In contrast, the leximin approach is broadly applicable: it yields an efficient, individual-fair-share, and family-egalitarian-equivalent allocation .
After revision:  In contrast, individual-no-envy with three or more families and lexicographic optimization to establish our results .