In this paper a new axiomatization of the alpha-egalitarian solutions
is proposed. The axioms are Weak Pareto Optimality, Homogeneity and Tr
anslation Invariance, Kuratowski Continuity, and Disagreement Point Co
ncavity. In this axiomatization, Individual Rationality need not be as
sumed explicitly. Kuratowski Continuity cannot be replaced by Hausdorf
f Continuity even if Individual Rationality is assumed. (C) 1998 Elsev
ier Science B.V.