  This paper proposes a new equilibrium concept "robust perfect equilibrium"
for non-cooperative games with a continuum of players, incorporating three
types of perturbations. Such an equilibrium is shown to exist (in symmetric
mixed strategies and in pure strategies) and satisfy the important properties
of admissibility, aggregate robustness, and ex post robust perfection. These
properties strengthen relevant equilibrium results in an extensive literature
on strategic interactions among a large number of agents. Illustrative
applications to congestion games and potential games are presented. In the
particular case of a congestion game with strictly increasing cost functions,
we show that there is a unique symmetric robust perfect equilibrium.
