  Mean-Field Games are games with a continuum of players that incorporate the
time-dimension through a control-theoretic approach. Recently, simpler
approaches relying on the Best Reply Strategy have been proposed. They assume
that the agents navigate their strategies towards their goal by taking the
direction of steepest descent of their cost function (i.e. the opposite of the
utility function). In this paper, we explore the link between Mean-Field Games
and the Best Reply Strategy approach. This is done by introducing a Model
Predictive Control framework, which consists of setting the Mean-Field Game
over a short time interval which recedes as time moves on. We show that the
Model Predictive Control offers a compromise between a possibly unrealistic
Mean-Field Game approach and the sub-optimal Best Reply Strategy.
