We show existence of an optimal control and a saddle-point for the zero-sum games associated with payoff functionals of mean-field type, under a dynamics driven by a class of Markov chains of mean-field type.
['Salah Eddine Choutri', 'Boualem Djehiche', 'Hamidou Tembine']
Optimal Control and Zero-Sum Games for Markov Chains of Mean-Field Type