“…The MFG framework, introduced by M. Huang, P. Caines, R. Malhamé [1, 2] and P.-L. Lions, J.-M. Lasry [3,4,5], is currently an active field with applications in economics [6,7,8,9], finance [10,11,12,7], industrial engineering [13,14,15], swarm robotics [16,17,18,19], epidemic modelling [20,21] and data science [22,23,24]. For comprehensive exposition of MFG systems we refer to [5,25,26] for nonlocal couplings, [27,28,26] for local couplings, [29,30] for a probabilistic approach, [31] for infinite-dimensional control approach, [32,33] for the master equation, and [34] for the control on the acceleration.…”