  The objective of this paper is to analyze the existence of equilibria for a
class of deterministic mean field games of controls. The interaction between
players is due to both a congestion term and a price function which depends on
the distributions of the optimal strategies. Moreover, final state and mixed
state-control constraints are considered, the dynamics being nonlinear and
affine with respect to the control. The existence of equilibria is obtained by
Kakutani's theorem, applied to a fixed point formulation of the problem.
Finally, uniqueness results are shown under monotonicity assumptions.
