3 papers
math.OC2026
Extended Mean Field Control Games with Moment Interactions: General Framework and Linear-Quadratic Model
Zhongyuan Cao, Mathieu Laurière, Andrew Shi +1
Mean field control games (MFCGs) provide a framework for studying non-cooperative games involving groups of cooperative players in the limit as both the number of players and the n…
math.NA2026
Picard-Based Acceleration of Newton Continuation for Mean Field Game PDE Systems
Mathieu Lauriere, Andrew Shi
We develop a method that uses Picard iterations to accelerate Newton continuation for the semi-implicit finite-difference discretization of forward-backward partial differential eq…
physics.soc-ph2026
A Structured Framework for Calibrating Stochastic Car-Following Models: Data Adequacy, Parameter Sensitivity, and Objective Selection
Shirui Zhou, Junzhe Ding, Junfang Tian +3
Calibrating a stochastic car-following model is harder than its deterministic counterpart: the loss itself becomes a random variable, so a favorable random realization can be mista…