2 citations · 2 across the 4 of their papers we have counts for
11 papers
Analysis and Numerical Solution of a Modular Convex Nash Equilibrium Problem
Minh N. Bùi, Patrick L. Combettes
We investigate a modular convex Nash equilibrium problem involving nonsmooth functions acting on linear mixtures of strategies, as well as smooth coupling functions. An asynchronou…
A Decomposition Method for Solving Multicommodity Network Equilibrium
Minh N. Bùi
We consider the numerical aspect of the multicommodity network equilibrium problem proposed by Rockafellar in 1995. Our method relies on the flexible monotone operator splitting fr…
Projective Splitting as a Warped Proximal Algorithm
Minh N. Bùi
We show that the asynchronous block-iterative primal-dual projective splitting framework introduced by P. L. Combettes and J. Eckstein in their 2018 Math. Program. paper can be vie…
Block-Activated Algorithms for Multicomponent Fully Nonsmooth Minimization
Minh N. Bùi, Patrick L. Combettes, Zev C. Woodstock
Under consideration are multicomponent minimization problems involving a separable nonsmooth convex function penalizing the components individually, and nonsmooth convex coupling t…
A Warped Resolvent Algorithm to Construct Nash Equilibria
Minh N. Bùi, Patrick L. Combettes
We propose an asynchronous block-iterative decomposition algorithm to solve Nash equilibrium problems involving a mix of nonsmooth and smooth functions acting on linear mixtures of…
Multivariate Monotone Inclusions in Saddle Form
Minh N. Bùi, Patrick L. Combettes
We propose a novel approach to monotone operator splitting based on the notion of a saddle operator. Under investigation is a highly structured multivariate monotone inclusion prob…