We examine a price competition game between two intermediaries offering to
match two sides of a market on the Internet. Competition is characterized b
y asymmetric network externalities. We account for some specificities of cy
bermediation, in particular access versus usage pricing and the possibility
of using the services of several intermediaries. When only registration fe
es are used and agents register with at most one cybermediary, there exists
an equilibrium where one firm corners the market with positive profits. In
troducing either fees contingent on successful matching or the possibility
of registration with two cybermediaries make these profits vanish. Other ty
pes of equilibria are discussed. (C) 2001 Elsevier Science B.V, All rights
reserved.