Special Session 22: Recent advances in mean field games for crowd dynamics

On quasi-stationary Mean Field Games of Controls
Fabio Camilli
Sapienza Universita` di Roma
Italy
Co-Author(s):    Claudio Marchi
Abstract:
We consider quasi-stationary Mean Field Games of Controls. In these problems, the strategy-choice mechanism of the agent differs from the classical one: the generic agent cannot predict the evolution of the population and instead chooses its strategy based solely on the information available at the current moment, without anticipating future developments. Furthermore, the dynamics of an individual agent is influenced not only by the distribution of agents but also by the distribution of their optimal strategies. We demonstrate the existence and uniqueness of the solution for the corresponding quasi-stationary Mean Field Games system under various sets of hypotheses and provide examples of models that fall within these parameters.