I study the existence of an equilibrium of private property rights in
social systems where individual agents decide to make individual or co
llective gifts according to their individual preferences on the distri
bution of private consumption expenditures. It is proved that the dist
ributive core is non-empty whenever there exists, at any feasible dist
ribution of wealth, at least one agent in local unsympathetic isolatio
n. The: equality of property rights is in the distributive core if the
agents have common opinions on the acceptable orientation of wealth t
ransfers implying that redistributive transfers, when they exist, flow
down the scale of wealth. (C) 1998 Elsevier Science B.V.