I study games of coalition formation with open membership where firms form
associations in order to decrease their costs before competing on the marke
t. According to previous analysts, only the grand coalition forms at the Na
sh equilibrium of such games. I show that this result hinges on the assumpt
ion of symmetric firms. I therefore introduce asymmetric firms in a game wh
ere only two associations can form. I demonstrate that there exists a coali
tion-proof Nash equilibrium coalition structure in this game, and that when
the equilibrium involves two associations, ail the members of an associati
on have a higher taste for this association than all nonmembers do. Journal
of Economic Literature Classification Numbers: C70, C72, L13. (C) 2000 Aca
demic Press.