 Mean-field game theory

Mean-field game theory (MFG) is a mathematical framework used to analyze strategic interactions among a large number of agents, each of whom makes decisions based on their own objectives while considering the collective impact of all agents on the system. The essential idea of MFG is that as the number of players becomes very large, the effect of any individual player on the overall dynamics becomes negligible. Instead, each player interacts with the statistical distribution of all other players.