  We exploit the structure of geometric graphs on Riemannian manifolds to
analyze strategic dynamic graphs at the limit, when the number of nodes tends
to infinity. This framework allows to preserve intrinsic geometrical
information about the limiting graph structure, such as the Ollivier curvature.
After introducing the setting, we derive a mean field game system, which models
a strategic equilibrium between the nodes. It has the usual structure with the
distinction of being set on a manifold. Finally, we establish existence and
uniqueness of solutions to the system when the Hamiltonian is quadratic for a
class of non-necessarily compact Riemannian manifolds, referred to as manifolds
of bounded geometry.
