This paper examines the problem of the formation of alliances in confl
ict and, more generally, in contests with three players. Each player p
ossesses an exogenous strategic endowment (e.g., arms, efforts, rent-s
eeking activity). The outcome of contests, including those between any
alliances of players, is governed by a Contest Success Function (CSF)
. In the three-person/one-cake problem an alliance between two players
against the third one will form if and only if the CSF has an increas
ing returns characteristic. When an alliance forms, there is a tendenc
y to be formed by the weaker players against the strongest player. Sim
ilar tendencies exist in other three-person problems that I examine.