4 papers
Convex order preservation for graphon mean-field systems
Daorong Cui, Shuoqing Deng, Yang Xiang
In this paper, we study the convex order preservation for the graphon mean-field systems on R^d. First, we establish the uniform-in-time Euler approximations for the graphon mean-f…
Graphon Mean Field Game of mutual holding
Daorong Cui, Shuoqing Deng, Yang Xiang
This paper studies the mean field game of mutual holding proposed by Djete and Touzi(AAP, 2024), and consider the case where the interactions among agents are described by a grapho…
Graph Disjointness with Applications to Reversible Markov Chains
Yang Xiang, Kevin McGoff, Andrew B. Nobel
The correspondence between weighted undirected graphs and reversible Markov chains via vertex random walks is simple and well known. Leveraging this correspondence and ideas from t…
Discrete Mean Field Games on Finite Graphs as Initial Value Optimization
Yaxin Feng, Yang Xiang, Haomin Zhou
In this paper, we propose an initial value fomulation of the discrete mean field games on finite graphs (Graph MFG), and design a neural network based approach to solve it. Graph M…