A technology with decreasing marginal costs is used by agents with equ
al rights. Each agent demands a quantity of output and costs are divid
ed by means of a fixed formula. Several such mechanisms are compared f
or the existence of Nash equilibrium demand profiles and for the equit
y properties of these equilibria. Among three mechanisms, average cost
pricing, the Shapley-Shubik cost sharing, and serial cost-sharing, on
ly the latter two possess at least one Nash equilibrium on a reasonabl
e domain of individual preferences. Only the serial cost sharing equil
ibria pass the equity tests of No Envy and Stand Alone cost. (C) 1996
Academic Press, Inc.