3 papers
math.OC2025
Linear-Quadratic Graphon Mean Field Games with Common Noise
De-xuan Xu, Zhun Gou, Nan-jing Huang +1
This paper studies linear quadratic graphon mean field games (LQ-GMFGs) with common noise, in which a large number of agents are coupled via a weighted undirected graph. One specia…
math.OC2025
Linear-quadratic stochastic nonzero-sum differential games between graphon teams
De-xuan Xu, Zhun Gou, Nan-jing Huang
We study a class of nonzero-sum stochastic differential games between two teams with agents in each team interacting through graphon aggregates. On the one hand, in each large popu…
math.OC2024
Social Optima in Linear Quadratic Graphon Field Control: Analysis via Infinite Dimensional Approach
De-xuan Xu, Zhun Gou, Nan-jing Huang
This paper is concerned with linear quadratic graphon field social control problem where the noises of individual agents are correlated. Compared with the well-studied mean field s…