  In this letter, we study a class of linear-quadratic mean-field-type
difference games with coupled affine inequality constraints. We show that the
mean-filed-type equilibrium can be characterized by the existence of a
multiplier process which satisfies some implicit complementarity conditions.
Further, we show that the equilibrium strategies can be computed by
reformulating these conditions as a single large-scale linear complementarity
problem. We illustrate our results with an energy storage problem arising in
the management of microgrids.
