### Probabilistic Approach to Mean Field Games and Mean Field Type Control Problems with Multiple Populations. (arXiv:1911.11501v1 [math.PR])

In this work, we systematically investigate mean field games and mean field type control problems with multiple populations using a coupled system of forward-backward stochastic differential equations of McKean-Vlasov type stemming from Pontryagin’s stochastic maximum principle. Although the same cost functions as well as the coefficient functions of the state dynamics are shared among the…