  We study games with finitely many participants, each having finitely many
choices. We consider the following categories of participants: (I) populations:
sets of nonatomic agents, (II) atomic splittable players, (III) atomic non
splittable players. We recall and compare the basic properties, expressed
through variational inequalities, concerning equilibria, potential games and
dissipative games, as well as evolutionary dynamics. Then we consider composite
games where the three categories of participants are present, a typical example
being congestion games, and extend the previous properties of equilibria and
dynamics. Finally we describe an instance of composite potential game.
