In many situations in economics and political science there are gains
from forming coalitions but conflict over which coalition to form and
how to distribute the gains. This paper presents an approach to such m
ultilateral bargaining problems. A solution to a multilateral bargaini
ng problem specifies an agreement for each coalition that is consisten
t with the bargaining process in every coalition. We establish the exi
stence of such solutions, show that they are determined by reservation
prices, and characterize these reservation prices as the payoffs of s
ubgame perfect equilibrium outcomes of a non-cooperative bargaining mo
del. (C) 1997 Academic Press.