probabilistic theory of mean field games with app
al noise, unpredictable behavior, external shocks. Data-Driven Parameters: Real-time inputs from app data streams. The Dynamic System A typical model involves: Stochastic Dynamics: \( dX_t = b(t, X_t, m_t, u_t)dt + \sigma(t, X_t, m_t)dW_t \) where \(X_t\) is the ag