Robust Dynamic Games Played Over Event Trees

We characterize cooperative and non-cooperative solutions of a dynamic game played over event tree when the transition probability are not given. We assume that the players implement feedback strategies that are adapted to the nodes of the event tree and to the state variable. A robust control is adopted, that is, an approach where the players consider that nature will choose the worst probability distribution with respect to their payoffs. We illustrate our results with an environmental management example.