We study certain classes of supermodular and submodular games which are sym
metric with respect to material payoffs but in which not all players seek t
o maximize their material payoffs. Specifically, a subset of players have n
egatively interdependent preferences and care not about their own material
payoffs but also about their payoffs relative to others. We identify suffic
ient conditions under which members of the latter group have a strategic ad
vantage in the following sense: at all intragroup symmetric equilibria of t
he game, they earn strictly higher material payoffs than do players who see
k to maximize their material payoffs. The conditions are satisfied by numbe
r of games of economic importance. We discuss the implications of these fin
dings for the evolutionary theory of preference formation and the theory of
strategic delegation. Journal of Economic Literature Classification Number
s: C72, D62. (C) 2000 Academic Press.